The increase in dihedral of a swept-wing airplane with weak static directional stability would cause an increase in both the Mach tuck tendency and the Dutch roll tendency, but would not have a significant effect on longitudinal stability.
Dihedral refers to the angle between the wings and the horizontal plane. Increasing the dihedral angle of a swept-wing airplane would cause the wings to be angled upwards, which can increase the roll stability of the aircraft.
However, it can also cause an increase in the Mach tuck tendency, which is the tendency of an aircraft to pitch nose-down as it approaches the speed of sound. This is because the upward-angled wings can cause a reduction in lift at high speeds, leading to a nose-down pitching moment.
Additionally, an increase in dihedral can also increase the Dutch roll tendency, which is an oscillation in which the aircraft rolls and yaws simultaneously. This can be caused by the wing's dihedral effect and the vertical fin's directional stability.
A swept-wing aircraft with weak static directional stability is already prone to Dutch roll, and an increase in dihedral would exacerbate this tendency.
Longitudinal stability refers to the aircraft's tendency to return to its original pitch attitude after a disturbance. While an increase in dihedral can affect roll stability and Mach tuck tendency, it would not have a significant effect on longitudinal stability.
Longitudinal stability is primarily influenced by the position of the aircraft's center of gravity, the size and position of the horizontal stabilizer, and the wing's angle of incidence.
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Question 13
The consumer product most significant in terms of radiation exposure is:
a. Wrist watch dials
b. TV receivers
c. Microwave ovens
d. cigarettes
The consumer product most significant in terms of radiation exposure is cigarettes.
Therefore the answer is d. cigarettes.
While all of the listed products can potentially expose consumers to radiation, cigarettes are the most significant in terms of radiation exposure.
This is because tobacco leaves naturally contain small amounts of radioactive isotopes, such as polonium-210 and lead-210, which can release radiation when they decay. These isotopes can accumulate in tobacco leaves and in the lungs of smokers, and can contribute to increased radiation exposure.
In fact, studies have estimated that smoking a pack of cigarettes per day can result in an effective dose of radiation to the lungs that is equivalent to the exposure from 250 chest x-rays per year. While the radiation exposure from other consumer products (such as wrist watch dials and TV receivers) is generally very low and not considered to be a significant health risk, the exposure from smoking cigarettes is a major contributor to the overall radiation exposure of the general population.
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a family ice show is held at an enclosed arena. the skaters perform to music with level 91.0 db. this level is too loud for your baby, who yells at 86.0 db (a) what total sound intensity engulfs you?
The total intensity engulfing of sound produce by Music have loudness is 91.0 db is approximately 91.2 dB.
To find the total sound intensity, you need to combine the intensity levels of the music (91.0 dB) and the baby yelling (86.0 dB).
1. Convert the decibel levels to intensity values using the formula: I = 10^(dB/10), where I is the intensity and dB is the decibel level.
For the music:
[tex]I_{(music)} = 10^{(91.0/10)} = 10^{9}[/tex]
1 For the baby:[tex]I_{baby} = 10^{(86.0/10)} = 10^{8.62}[/tex]
Add the intensities together to get the total intensity:
[tex]I_{(total)} = I_{(music)} + I_{(baby)}[/tex]3. Convert the total intensity back to decibels using the formula:
[tex]dB = 10 * log10(I) dB_{total }[/tex]
[tex]= 10 * log10(I_{total})[/tex]
Following these
steps:1.[tex]I_{music} = 10^{9.1} = 1,258,925 I_{baby} = 10^{8.6} = 398,1072.[/tex]
[tex]I_{(total)} = 1,258,925 + 398,107 = 1,657,0323.[/tex]
[tex]dB_{total} = 10 * log10(1,657,032) =91.2 dB[/tex]
So, the total sound intensity engulfing you is approximately 91.2 dB.
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Question 4 (1 point)
Which of the following adjusts the transparency or translucence of a shape or a layer?
A)fill
B)opacity
C)stroke
D)texture
Opacity adjusts the transparency or translucence of a shape or a layer. It is a measure of the degree to which light is allowed to pass through an object. Option B is correct.
The opacity setting is often used in graphic design and image editing software to control the visibility of layers, allowing designers to create interesting visual effects and overlays. When the opacity is set to 100%, the object is completely opaque and does not allow any light to pass through.
When the opacity is set to 0%, the object is completely transparent and allows all light to pass through. Intermediate values of opacity create varying degrees of transparency or translucence, allowing the underlying layers or background to show through to some extent.
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Question 11
Maximum sensitivity to sound for humans is in the range of
a. 500-1000 cps
b. 1000-5000 cps
c. 5000-10000 cps
d. 10000-15000 cps
b. 1000-5000 cps.
Answer - Hi! Maximum sensitivity to sound for humans is in the range of 1000-5000 cps (cycles per second The cycle per second is a once-common English name for the unit of frequency now known as the hertz. Cycles per second may be denoted by c.p.s., c/s, or, ambiguously, just "cycles"). So, the correct answer is option b. 1000-5000 cps.Sound frequency is measured in terms of cycles per second (cps), or hertz (Hz), which is the standard unit for cps. The normal human ear can detect sounds that range in frequency from about 20 Hz to about 15,000 Hz.
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A 50 kg sprinter, starting from rest, runs 50m in 7.0s at constant acceleration.a. What is the magnitude of the horizontal force acting on the sprinter?b. What is the sprinter’s power output at 2.0 s, 4.0 s, and 6.0s?
The magnitude of the horizontal force acting on the sprinter is 56 N, the sprinter's power output at 2.0 s is 125.44 W, at 4.0 s is 251.68 W, and at 6.0 s is 376.32 W.
a. To find the magnitude of the horizontal force acting on the sprinter, we can use the following kinematic equation:
[tex]d = 0.5 * a * t^2[/tex]
where d is the distance traveled (50m), t is the time taken (7.0s), and a is the acceleration of the sprinter.
Solving for a, we get:
[tex]a = 2 * d / t^2[/tex]
[tex]= 2 * 50m / (7.0s)^2[/tex]
[tex]= 1.12 m/s^2[/tex]
Next, we can use Newton's second law of motion, which states that the net force acting on an object is equal to its mass times its acceleration:
F_net = m * a
Substituting the values, we get:
[tex]F_net =[/tex][tex]50kg * 1.12 m/s^2[/tex]
= 56 N
Therefore, the magnitude of the horizontal force acting on the sprinter is 56 N.
b. The power output of the sprinter can be calculated using the following formula:
P = F * v
where P is the power, F is the force, and v is the velocity.
At 2.0 s:
The sprinter's velocity can be found using the following kinematic equation:
v = a * t
where a is the acceleration found earlier [tex](1.12 m/s^2)[/tex], and t is the time taken (2.0 s).
Substituting the values, we get:
[tex]v = 1.12 m/s^2 * 2.0 s= 2.24 m/s[/tex]
Using the formula for power, we get:
[tex]P = 56 N * 2.24 m/s= 125.44 W[/tex]
Therefore, the sprinter's power output at 2.0 s is 125.44 W.
At 4.0 s:
The sprinter's velocity can be found using the same kinematic equation as before:
v = a * t
Substituting the values, we get:
[tex]v = 1.12 m/s^2 * 4.0 s= 4.48 m/s[/tex]
Using the formula for power, we get:
[tex]P = 56 N * 4.48 m/s= 251.68 W[/tex]
Therefore, the sprinter's power output at 4.0 s is 251.68 W.
At 6.0 s:
The sprinter's velocity can be found using the same kinematic equation as before:
v = a * t
Substituting the values, we get:
[tex]v = 1.12 m/s^2 * 6.0 s= 6.72 m/s[/tex]
Using the formula for power, we get:
[tex]P = 56 N * 6.72 m/s= 376.32 W[/tex]
Therefore, the sprinter's power output at 6.0 s is 376.32 W.
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When is the only time that any two objects dropped from the same height will land at the same time?
Any two objects dropped from the same height will land at the same time only if there is no air resistance.
When objects fall through a fluid medium, such as air or water, they experience a force known as air resistance or drag, which opposes their motion. This force depends on the shape, size, and velocity of the object, as well as the properties of the fluid it is falling through. In the absence of air resistance, the only force acting on an object is its weight, which is proportional to its mass. According to the law of universal gravitation, all objects near the surface of the Earth experience a gravitational force towards the center of the Earth, which is also proportional to their mass.
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How might an audio engineer manipulate a sound in a studio? Explain.
A sound can be altered in a recording studio through a variety of techniques and equipment by an audio technician. One commonly utilized method is equalization (EQ), where certain frequency ranges are boosted or reduced to amplify or decrease specific aspects of the sound.
How might an audio engineer manipulate a sound in a studio?An engineer could employ EQ techniques to heighten the bass frequencies in a bass guitar recording or diminish the treble frequencies in a vocal recording.
Audio engineers often apply compression to sound as a means of altering it. Audio engineers often incorporate various methods in their work, such as applying reverb, delay or modulation effects like chorus.
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Friction is a force that resists the relative motion of two objects in contact.
Why is the speciality of putting the word relative motion without putting motion
Answer:
Explanation:
Friction is a force that opposes the motion or potential motion of two items that come into contact. The word "relative motion" emphasizes that friction resists the motion of the objects with respect to one other, and it emphasizes that friction specifically operates against the motion or potential motion between two objects in contact.
A light woman and a heavy man jump from an airplane at the same time and immediately open their same-size parachutes. Which person will reach a state of zero acceleration (terminal velocity) first?
Both the light woman and the heavy man will eventually reach the same terminal velocity, which is the maximum speed that an object can achieve while falling through the air.
This is because terminal velocity is determined by the air resistance that the object experiences, which depends on its size, shape, and speed. However, the heavier man will initially fall faster than the lighter woman due to the force of gravity being stronger on him. As they continue to fall, the air resistance will increase until it matches the force of gravity, at which point they will reach terminal velocity. The heavy man will reach terminal velocity first because his greater mass causes a higher gravitational force acting on him, which in turn leads to a faster acceleration until he reaches terminal velocity. The light woman will experience a smaller gravitational force and will take longer to reach terminal velocity. Therefore, the heavy man will reach zero acceleration (terminal velocity) first, but the light woman will catch up and eventually reach the same speed.
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For capacitors in parallel that have different capacitances, which one (if any) has the greatest charge?
When capacitors are connected in parallel, they have the same voltage across them, but the charges on each capacitor can be different.
In the case of capacitors with different capacitances, the capacitor with the larger capacitance will have the greatest charge. This is because capacitance is a measure of a capacitor's ability to store charge. Capacitors with larger capacitances can store more charge than capacitors with smaller capacitances. Therefore, the capacitor with the largest capacitance will have the greatest charge. This can be explained by the fact that the larger capacitance provides more surface area for the accumulation of charge, which results in a greater amount of charge being stored.
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Please answer the match the wave to the description and the top part 25 points
For waves:
Increasing amplitude increases the loudness of the sound.Decreasing amplitude decreases the loudness of the sound.Decreasing frequency decreases the pitch of the sound.Increasing frequency increases the pitch of the sound.What are the products of waves?Match the wave to the description:
The wave with the smallest amplitude would produce the softest sound, B.
The wave with the largest amplitude would produce the loudest sound, D.
The wave with the highest frequency would produce the sound with the highest pitch, A.
The wave with the lowest frequency would produce the sound with the lowest pitch, C.
Waves only transfer energy.
The electromagnetic spectrum is made of: radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays.
An acronym to help me remember this from longest to shortest wavelength: ROYGBIV (stands for red, orange, yellow, green, blue, indigo, violet - the colors of the visible light spectrum).
Uses for electromagnetic waves: radio and TV broadcasting, communication via mobile phones, heating food in a microwave oven, infrared cameras for night vision, medical imaging using X-rays, and cancer treatment using gamma rays.
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pleaseeee helpp quickkkk
A skateboarder starts at the top of a halfpipe ramp, skates through the middle, and up the other side.
Match the following to describe what is happening at each of the three points in the skater's movement.
Question 1 options:
Middle
End
Beginning
1.
Maximum kinetic energy
2.
Potential and kinetic energy equal
3.
Maximum potential energy
Answer:
Explanation:
1=3
why does light refraction occur at the interface between two different media? some of the light is reflected , not selected the direction of the light changes , not selected incorrect answer: all of the above the speed of light is different in the two media , not selected the frequency of the light changes
The correct answer is "the speed of light is different in the two media." Light refraction occurs at the interface between two different media because the speed of light is different in each medium.
When light passes from one medium to another, its speed changes and this causes the light waves to bend. This bending is known as refraction. Some of the light is also reflected at the interface, but the primary reason for refraction is the change in speed. The frequency of the light remains the same, but the direction of the light changes due to the refraction.
Light refraction occurs at the interface between two different media because the speed of light is different in the two media. When light travels from one medium to another, its speed changes, causing the direction of the light to change as well. This bending of light is known as refraction.
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Question 35
To disinfect a well, one should and pour directly into the well.
a. mix one gallon of bleach in five gallons of water
b. mix one quart of bleach in five gallons of water
c. mix one quart of bleach in three gallons of water
d. mix one pint of bleach in three gallons of water
To disinfect a well, one should mix one quart of bleach in five gallons of water and pour it directly into the well.
Disinfecting a well is an important maintenance task to prevent the growth of harmful bacteria, viruses, and other microorganisms in the water supply. Bleach is a commonly used disinfectant for wells because it is effective at killing many types of microorganisms. The recommended concentration of bleach for well disinfection is 50-200 parts per million (ppm), which can be achieved by mixing one quart of household bleach (containing 5-6% sodium hypochlorite) in five gallons of water. This solution should be poured directly into the well and allowed to sit for several hours, typically 12-24 hours, to ensure thorough disinfection.
After the disinfection period, the well should be flushed with clean water until there is no bleach smell or taste. It is important to follow all recommended safety precautions when working with bleach, such as wearing protective gloves and eyewear and avoiding contact with skin or eyes. The well water should be tested after disinfection to ensure that the concentration of disinfectant is within the recommended range and that the water is safe for consumption.
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21.15 the 20-lb disk rolls on the horizontal surface. its radius is the spring constant is at the spring is unstretched and the disk has a clockwise angular velocity of 2 rad/s. what is the amplitude of the resulting vibrations of the center of the disk?
The angular velocity of the disk remains constant as it rolls on the horizontal surface. However, the spring will introduce vibrations to the system.
The amplitude of these vibrations will depend on the spring constant and the radius of the disk. Without knowing these values, it is impossible to determine the amplitude of the resulting vibrations of the center of the disk.
To find the amplitude of the resulting vibrations of the center of the disk, we need to consider the system's properties: constant, velocity, and vibrations. Given the disk has a constant clockwise angular velocity of 2 rad/s,
we can calculate the linear velocity (v) of the disk using the formula v = rω, where r is the radius of the disk, and ω is the angular velocity. However, the radius is not provided in the question. Once we have the linear velocity, we can examine the spring and its spring constant (k).
Unfortunately, the spring constant value is also missing in the question. With both the linear velocity and the spring constant, we can then use the equations of motion for a simple harmonic oscillator to determine the amplitude (A) of the resulting vibrations.
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(315-15(B)(3a) The ampacity of six current-carrying No. 4/0 XHHW aluminum conductors installed in a ground floor slab (wet location) is _____.
Option 4. The ampacity of six current-carrying No. 4/0 XHHW aluminum conductors installed in a ground floor slab (wet location) is 210 A.
The temperature rectification consider for guide ampacity this not set in stone by deducting the reference temperature of 30°C from the surrounding temperature of 38.9°C, bringing about a temperature revision element of 1.08.
Expecting a circuit voltage of 480V, the ampacity of six current-conveying 4/0 XHHW aluminum guides in a wet area can be determined involving the NEC rules for channel fill and guide ampacity. With a guide protection temperature rating of 90°C, the ampacity rating of every guide is 205A. Taking into account the change factor for six current-conveying guides, which is 0.8, the last ampacity of the six guides is determined as follows:
(205A x 6 guides x 0.8 change factor) x 1.08 temperature rectification factor = 839A
In this manner, the straightforward reply to the inquiry is 4. 210 A (gathered together to the closest entire number), which addresses the ampacity of six current-conveying 4/0 XHHW aluminum guides introduced in a ground floor chunk (wet area) with a normal encompassing temperature of 102°F and a base protection temperature rating of 90°C.
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The complete question is:
Temperature is expected to be 102°F The temperature correct-A 2 TW conductor is installed in a location where the ambient ion factor for conductor ampacity in this location is the ambient temperature is 71°C, the minimum insulation 69 Ambient. The ampacity of six current-carrying 4/0 XHHW aluminum conductors installed in a ground floor slab (wet location) is 1. 135 A 2. 144 A 3. 185 A 4. 210 A
A spring (k 200 N/m) is fixed at the top of a frictionless plane inclined at angle 40 o (Figure). A
1. 0 kg block is projected up the plane, from an initial position that is distance d 0. 60 m from
the end of the relaxed spring, with an initial kinetic energy of 16 J. (a) What is the kinetic
energy of the block at the instant it has compressed the spring 0. 20 m? (b) With what kinetic
energy must the block be projected up the plane if it is to stop momentarily when it has
compressed the spring by 0. 40 m?
At the spring's maximum compression, the system's total mechanical energy (E) is 16 J.
In order to calculate the block's kinetic energy after compressing the spring by 0.20 m, we can apply the concept of mechanical energy conservation. As long as no external forces (like friction) are exerted on the block-spring system, its mechanical energy stays constant.
Due to its initial velocity and height above the ground, the block contains both kinetic energy (KE) and potential energy (PE). The block loses height as it ascends the slope, gains potential energy, and loses kinetic energy when the spring contracts.
The following provides the mechanical energy formula:
E = KE + PE
where PE stands for potential energy and KE for kinetic energy.
The block's initial kinetic energy is listed as 16 J. The following formula can be used to determine the block's initial potential energy:
PE = mgh
where m is the block's mass, g is its gravitational acceleration, and h is its height above the ground. Since the block is projected up the slope, the height h can be calculated as follows:
h = d₀×sinθ
where theta is the plane's angle of inclination and d₀ is the block's initial separation from the relaxed spring's end.
Given:
d₀ = 0.60 m
θ = 40°
m = 1.0 kg
g = 9.8 m/s²
Substituting these values into the equation for potential energy, we get:
PE = 1.0 ×9.8 × 0.60 × sin(40) = 3.94 J
So, the initial mechanical energy (E) of the block-spring system is:
E = 16 + 3.94 = 19.94 J
The spring comes to a brief rest at its maximal compression when the block compresses it by 0.20 m. All of the system's mechanical energy is now transformed into potential energy that is stored in the compressed spring. As a result, the block's kinetic energy at this precise moment is 0. J.
The conservation of mechanical energy to determine the kinetic energy with which the block must be accelerated up the incline in order to momentarily stop when it has compressed the spring by 0.40 m. the mechanical energy of the system is equal to the sum of the kinetic and potential energies when the spring is compressed to its maximum length. In this instance, the potential energy will be determined by multiplying the spring's maximum compression by its spring constant.
The following is the formula for the spring's potential energy:
P.Espring = (1/2)× k × x²
where k is the spring constant and x is the maximum compression of the spring.
Given:
k = 200 N/m
x = 0.40 m
Substituting these values into the equation for potential energy of the spring, we get:
P.Espring = (1/2) × 200 × (0.40)² = 16 J
The block's kinetic energy at this precise moment is zero J because it temporarily comes to rest at the point of the spring's maximum compression.
Therefore, the block must be launched up the incline with an initial kinetic energy of 16 J in order to momentarily stop when the spring is squeezed by 0.40 m.
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exercise 20.6 examining the properties of stars using the hertzsprung-russell (h-r) diagram part 1.a. plot the location of the sun on the h-r diagram. absolute magnitude 5 4.8 temperature > 5,800 k what spectral class is our sun?
The Sun has an absolute magnitude of 4.8 and a temperature of around 5,800 K. When you plot the Sun's location on the H-R diagram based on these values, you'll find that it falls under the spectral class G.
The Sun is specifically classified as a G2V star, where 'G' represents its temperature range and color (yellow), '2' indicates its position within the G class, and 'V' designates its luminosity class (dwarf).
So, our Sun belongs to the G spectral class on the H-R diagram. In Exercise 20.6, we are asked to plot the location of the sun on the Hertzsprung-Russell (H-R) diagram and determine its spectral class.
The H-R diagram is a plot of a star's magnitude (brightness) versus its temperature. The absolute magnitude of the sun is 5 and its temperature is greater than 5,800 K, which places it in the upper-left corner of the H-R diagram.
To determine the sun's spectral class, we can use the information from its temperature and magnitude. The sun is a G-type star, which means it has a surface temperature between 5,000-6,000 K and a yellowish color.
The spectral class of a star is determined by its spectral lines, which are produced by the absorption of light by elements in the star's atmosphere. In conclusion, the sun's location on the H-R diagram indicates its magnitude and temperature, and its spectral class is G.
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A pan filled with 0.15 kg of cold water sits on the stove. The stove gives off 500 kJ of thermal energy. The pan needs 50 kJ of thermal energy for the water to reach boiling temperature. If the latent heat of vaporization of water is 2260 kJ/kg. Is there enough thermal energy remaining to boil all the water?
the total amount of thermal energy required 389232 J.
calculate the amount of thermal energy required to raise the temperature of the water to boiling point:
Q1 = m * c * ΔT
where m is the mass of water, c is the specific heat of water, and ΔT is the temperature change needed.
Here, m = 0.15 kg, c = 4186 J/(kg·K), and ΔT = 100°C - 20°C = 80°C.
Q1 = 0.15 kg * 4186 J/(kg·K) * 80°C
Q1 = 50232 J
Therefore, 50 kJ of thermal energy is required to boil the water after it reaches the boiling point.
Now we can calculate the total amount of thermal energy required to boil the water:
Q2 = m * L
where L is the latent heat of vaporization of water.
Q2 = 0.15 kg * 2260 kJ/kg
Q2 = 339 kJ
Adding Q1 and Q2, we get the total amount of thermal energy required:
Q = Q1 + Q2
Q = 50232 J + 339 kJ
Q = 389232 J
Comparing this to the 500 kJ of thermal energy given off by the stove, we see that there is enough energy to boil all the water.
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The phase angle of an LRC series circuit with a capacitive reactance of 40 Ω, a resistor of 100 Ω and a certain inductor at 1000 Hz is 40.0°. What is the value of the inductance in this circuit?A) 11.8 mH B) 124 mH C) 212 mH D) 61.9 mHE) 19.7 mH
The value of the inductance in this circuit is E) 19.7 mH.
We can use the following formula to calculate the phase angle of an LRC circuit:
tan(φ) = (Xc - XL) / R
where φ is the phase angle, Xc is the capacitive reactance, XL is the inductive reactance, and R is the resistance.
We know that Xc = 40 Ω, R = 100 Ω, and φ = 40.0°. We can rearrange the formula to solve for XL:
XL = (Xc - R tan(φ)) / tan(φ)
Substituting the values we have, we get:
XL = (40 Ω - 100 Ω tan(40.0°)) / tan(40.0°)
XL ≈ 59.55 Ω
Now we can use the formula for inductive reactance:
XL = 2πfL
where f is the frequency and L is the inductance. Rearranging the formula to solve for L:
L = XL / (2πf)
Substituting the values we have, we get:
L = 59.55 Ω / (2π x 1000 Hz)
L ≈ 9.47 mH
Therefore, the value of the inductance in this circuit is approximately 9.47 mH. None of the answer choices match this value exactly, but the closest one is E) 19.7 mH.
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Find the magnitude of the emf E induced in the loop after exactly time 3.00 s has passed since the circumference of the loop started to decrease.Express your answer numerically in volts to three significant digits.
Cannot provide an answer to this question as there is not enough information given to solve for the magnitude of the emf E induced in the loop. Please provide additional information or context. Please provide the missing information, and I can help you find the magnitude of the induced emf E.
We need more information about the loop and the rate at which its circumference is decreasing. However, I can help you set up the approach to find the magnitude of the induced emf E. Determine the initial circumference Coinitial of the loop. Calculate the final circumference C final after 3.00 s, given the rate of decrease. Calculate the initial and final magnetic flux using the formula BA, where B is the magnetic field and A is the loop area. Use Faraday's law to find the induced where final initial and 3.00 s. Express the induced emf E numerically in volts to three significant digits. Please provide the missing information, and I can help you find the magnitude of the induced emf E.
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Why are there some areas in cities where wind speed is zero?
There are a few reasons why certain areas in cities may have zero wind speed. One possible explanation is the presence of tall buildings or other structures that create a wind shadow.
This occurs when the buildings obstruct the flow of air, causing it to slow down or stop entirely in the space behind the structure. Another factor that can contribute to zero wind speed is topography. If an area is situated in a valley or other low-lying area, it may be shielded from the wind by the surrounding terrain. Additionally, weather conditions can affect wind speed, so it's possible that certain areas experience calm conditions due to a lack of wind at the time.
In cities, some areas may experience zero wind speed due to factors such as tall buildings, urban structures, and topography. These elements can obstruct and disrupt wind flow, creating areas of calm or stagnant air. This phenomenon is known as wind shadow or wind sheltering.
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urgent please
A mason dropped a block of weight 30N onto a trolley of mass 6kg when it was moving at a velocity of 2m/s. Determine the velocity of the trolley thereafter if the block remains on it. (2marks) (Take g = 10N/kg)
The velocity of the trolley system with the block in it is 1.33 m/s.
Weight of the block, W = 30 N
Mass of the block, m = W/g
m = 30/10 = 3 kg
Mass of the trolley, M = 6 kg
Initial velocity of the trolley, u = 2 m/s
According to law of conservation of momentum,
In an isolated system, when two objects collide, the combined momentum before and after the collision is constant. Due to the fact that the momentum gained by one object equals the momentum lost by another, this occurs.
So, the momentum of the trolley system before and after dropping the block to it are equal.
Mu = (M + m)v
Therefore, the velocity of the trolley system with the block in it,
v = Mu/(M + m)
v = 6 x 2/(6 + 3)
v = 12/9
v = 1.33 m/s
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2. A bicycle travels 141 m along a circular track of radius 30 m. What is the angular displacement in radians of the bicycle from its starting position?
A) 1.0 rad
B) 1.5 rad
C) 3.0 rad
D) 4.7 rad
E) 9.4 rad
The angular displacement of the bicycle from its starting position is approximately 4.7 radians.
To calculate the angular displacement in radians of the bicycle from its starting position, we can use the formula:
Angular Displacement (θ) = Arc Length / Radius
Given:
Arc Length (s) = 141 m
Radius (r) = 30 m
Now, plug the given values into the formula:
θ = s / r
θ = 141 m / 30 m
θ ≈ 4.7 radians
So the angular displacement of the bicycle from its starting position is approximately 4.7 radians. Therefore, the correct answer is:
D) 4.7 rad
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An apple drops from a tree and hits the ground in 1.2s . Calculate how far it falls.
The apple falls approximately 7.07 meters before it hits the ground.
To calculate how far the apple falls, we can use the equation for the distance fallen under the influence of gravity:
Gravity is a fundamental principle of physics which states that all objects in the Universe are attracted to each other through the gravitational force
distance = 0.5 * g * t^{2}
where g is the acceleration due to gravity (approximately 9.81 m/s^{2}) and t is the time it takes for the apple to fall (1.2 s).
Step 1: Square the time (t^{2})
t^{2} = 1.2 * 1.2 = 1.44
Step 2: Multiply 0.5 * g * t^{2}
distance = 0.5 * 9.81 * 1.44
Step 3: Calculate the distance
distance ≈ 7.07 meters
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On a distant planet a freely falling object has an acceleration of 22m/s^2 . Calculate the vertical distance an object dropped from rest on this planet covers in 1.3s .
The vertical distance an object dropped from rest on this distant planet covers in 1.3 seconds is 18.59 meters.
To calculate the vertical distance an object dropped from rest on this distant planet covers in 1.3 seconds, we can use the following equation of motion:
d = vi * t + 0.5 * a * t^{2}
where d is the vertical distance, vi is the initial velocity (0 m/s, since the object is dropped from rest), a is the acceleration (22 m/s^{2}), and t is the time (1.3 s).
Step 1: Substitute the given values into the equation:
d = 0 * 1.3 + 0.5 * 22 * (1.3)^{2}
Step 2: Perform the calculations:
d = 0 + 0.5 * 22 * 1.69
d = 11 * 1.69
Step 3: Calculate the final value:
d ≈ 18.59 m
So, the object dropped from rest on this planet with an acceleration of 22 m/s^{2} covers a vertical distance of approximately 18.59 meters in 1.3 seconds.
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the specific heats of several metals are given in the table. if the same number of joules were applied to the same mass of each metal, which metal would show the greatest temperature change?
The specific heat of a substance is defined as the amount of heat energy required to raise the temperature of one unit of mass of the substance by one degree Celsius (or one Kelvin).
As a result, given the same level of energy input, the material with the smallest amount of specific warmth will experience the largest temperature change. We can see through the table of metal specific heats that copper, exhibiting a value of 0.385 J/g°C, is the metal with the smallest specific heat.
So, among the metals presented in the table, metal would experience the largest rise in temperature whether the same quantity of joule were put to the identical amount of each metal.
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Correct Question:
The specific heats of several metals are given in the table. if the same number of joules were applied to the same mass of each metal, which metal would show the greatest temperature change?
Question 74 Marks: 1 When using presettling reservoirs to eliminate heavy turbidity or pollution before treatment, what is the desirable retention time?
Choose one answer. a. 8 hours b. 1 week c. 2 to 3 days d. 1 month or longer
When using presettling reservoirs to eliminate heavy turbidity or pollution before treatment, the desirable retention time is typically 2 to 3 days.
This allows sufficient time for the heavy particles to settle to the bottom of the reservoir and the clearer water to move to the treatment process. A retention time of 8 hours or 1 week may not be sufficient for effective settling, while a retention time of 1 month or longer may not be practical due to space and time constraints.
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two paths lead to the top ofa big hill, one is steep anddirect, while the other is twice as long but less steep. how much more potential energy would you gain if you take the longer path
you will gain the same amount of potential energy regardless of the path you take
The potential energy gained depends on the height difference between the bottom and the top of the hill. Both paths will give you the same final potential energy, but the longer path will take more time and require more energy input to climb. Therefore, you will gain the same amount of potential energy regardless of the path you take. However, the longer path may require more physical effort and time to climb, even though it is less steep.
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The ampacity of a conductor is listed in table _____ under the condition of no more than three current carrying conductors bundled together in raceway, cable or earth an ambient temperature of 86 degrees F.
The ampacity of a conductor is listed in table 310.15(B)(3)(a) under the condition of no more than three current carrying conductors bundled together in raceway, cable or earth an ambient temperature of 86°F.
This table provides the allowable ampacities of insulated conductors operating in free air or in raceways, cables and earth, based on an ambient temperature of 86°F (30°C). The allowable ampacity is the maximum current, in amperes, that a conductor can carry continuously under the conditions stated in the NEC.
The ampacities listed in the table are based on the assumption that no more than three current-carrying conductors are bundled together in a raceway, cable or earth. The ampacities in the table are also based on an ambient temperature of 86°F (30°C). If the ambient temperature is higher, the ampacity must be adjusted accordingly.
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