The angular acceleration of the rotating wheel at the given rate of change of angular velocity is 0.21 rad/s².
Angular acceleration of the wheel
The angular acceleration of an object is the rate of change of anguar velocity of the object with time.
[tex]\alpha = \frac{\Delta \omega }{\Delta t}[/tex]
where;
Δω is the change in the angular velocityΔt is the change in timeChange in angular velocity of the wheel is calculated as follows;
[tex]\Delta \omega = 2 \ \frac{rev}{s} \times \frac{2\pi \ rad}{1 \ rev} = 4\pi \ rad/s = 12.57 \ rad/s[/tex]
Change in time, Δt = 1 min = 60 s
The angular acceleration of the rotating wheel is calculated as follows;
α = (12.57) / (60)
α = 0.21 rad/s²
Thus, the angular acceleration of the rotating wheel at the given rate of change of angular velocity is 0.21 rad/s².
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If a number of coplanar forces acting on a particle are in equilibrium, then
Explanation:
Then the algebraic sum of the moment of all the forces about any point is equal to the moment of the resultant force about the same point
If a number of coplanar forces acting on a particle are in equilibrium. then the moment of their resultant is equal to the sum of their individual moment.
What is the law of moments?If a number of co-planar forces operating on a particle are in equilibrium, the algebraic sum of their moments about any point equals the moment of their resultant force about the same point, according to the law of moments.
Hence If a number of coplanar forces acting on a particle are in equilibrium. then the moment of their resultant is equal to the sum of their individual moment.
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Thunder is heard 7.2 seconds after a bolt of lightning is observed. if the speed of sound is 349 m/s, how far away did the lightning strike?
Answer:
2512.8 meters
Explanation:
s=d/t
by using speed formula
Imagine a situation : If people could not see colours, then how would traffic lights work ? Design a traffic system that does not rely on colors.
Answer:
position
Explanation:
Okay, so this already exists
Colorblind people use the position of the light
Red on top, yellow in middle, green on bottom
Two equivalent sinusoidal waves travel toward each other on a spring they interfere. What if the waves traveling toward each other aren't sinusoidal but a series of pulses as seen in the picture? What effect does this have on the spring?
Answer:
Superposition would take place
Explanation:
The waves would interfere with one another either in the form of Constructive Interference or Destructive Interference.
Two blocks each of mass m are attached to the ends of a massless rod
The net torque on this system is (ml2g-ml1g)k
What is Torque?
This refers to the type of force that causes rotation in objects which has mass and is a twisting force
Based on the complete question, we can see the given parameters:
The torque due to farther mass above the pivot is ml2gk
The torque due to nearer mass about the pivot is ml1gk
Therefore, the net torque is (ml2g-ml1g)k
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The net torque on this system in which two blocks each of mass m are attached to the ends of a massless rod, above pivot, is (ml₂g-ml_₁g)\hat k.
What is torque?The torque of a body is the rate of change of angular momentum of the body. Torque is the product of moment of inertia and the angular acceleration.[tex]\tau =I\times \alpha[/tex][tex]\tau=mlg[/tex]
Here, (I) is the moment of inertia and (α) is the angular acceleration.
Two blocks each of the mass m are attached to the ends of a massless rod which pivots as shown in fig.
Initially, the rod is held in the horizontal position and then released. When, the mass was kept at farther to pivot, then the value of torque is,
[tex]\tau=ml_2g\hat k[/tex]
When, the mass was kept at nearer to pivot, then the value of torque is,
[tex]\tau=-ml_1g\hat k[/tex]
Thus, the net torque on this system above pivot is,
[tex]\tau=ml_2g\hat k+(-ml_2g\hat k)\\\tau=(ml_2g-ml_1g)\hat k[/tex]
Thus, the net torque on this system in which two blocks each of mass m are attached to the ends of a massless rod, above pivot is (ml₂g-ml_₁g)\hat k.
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Knowing the direction of heat flow, explain why if you leave a hot bowl of soup out in the open on the countertop, it eventually gets cold. Where is the heat going?
The heat will flow towards the air surrounding the soup bowl and towards the countertop below the bowl.
Where does the heat go?We know that when two bodies of different temperatures there will be a flow of heat between the objects, from the hotter one to the colder one.
In this case, we have the bowl of soup as the hot object, and the ambient (the countertop, the air surrounding the bowl, etc) itself will be the cooler object.
Then the heat will flow towards the air surrounding the soup bowl and towards the countertop below the bowl.
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When a 10-V battery is connected to a resistor, 2 A of current flow in the resistor. What is the resistor's value
Hi there!
We can use Ohm's law to solve:
[tex]V = IR[/tex]
V = Potential Difference (V)
I = Current (A)
R = Resistance (Ω)
We can rearrange the equation to solve for resistance:
[tex]R = \frac{V}{I}[/tex]
Plug in the given values to solve.
[tex]R = \frac{10}{2} = \boxed{5 \Omega}[/tex]
dont use me for points please i need help, (circuits for physics)
Answer:
B, A, A, B
Explanation:
Just trust me on this one.
What is the electric potential energy of a charge that experiences a force of 3. 6 × 10–4 N when it is 9. 8 × 10–5 m from the source of the electric field? 3. 5 × 10–8 J 4. 6 × 10–4 J 2. 7 × 10–1 J 3. 7 × 100 J.
The electric potential energy of the charge will be =3.5*10^8 J
What is Electric potential energy?Electric potential energy is the energy that is needed to move a charge against an electric field.
F=Force experienced by the charge = 3.6*10^-4 N
q1 = magnitude of charge producing the electric field
q2 = magnitude of charge experiencing the electric force
r1 = distance between the two charges
Electric force experienced by the charge is given using coulomb's law as
[tex]F=\dfrac{kq_1q_2}{r^2}[/tex]
[tex]3.6\times 10^{-4}=\dfrac{9\times 10^9 q_1q_2}{(9.8\times 10^{-5})^2}[/tex]
[tex]q_1q_2=3.84\times 10^{-22}[/tex]
Electric potential energy of the charge can be given as
[tex]U=\dfrac{kq_1q_2}{r}[/tex]
[tex]U=\dfrac{(9\times 10^9)q_1q_2}{(9.8\times 10^{-5})^2}[/tex]
[tex]U=3.5\times 10^{-8}\ J[/tex]
Thus Electric potential energy of the charge can be given as [tex]U=3.5\times 10^{-8}\ J[/tex]
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A block of mass 3. 0 kg is hung from a spring, causing it to stretch 12 cm at equilibrium, as shown above. The 3. 0 kg block is then replaced by a 4. 0 kg block, and the new block is released from the position shown above, at which the spring is unstretched. How far will the 4. 0 kg block fall before its direction is reversed?.
Answer: 32 cm
Explanation:
A 50 kg object moving at 15 m/s collides with another 50 kg object moving in the same direction at 10 m/s. If the collision is inelastic, what is the final velocity of the two objects after they combine?
Answer:
12.5 m/s
Explanation:
By conservation of momentum, we have that:
[tex]\displaystyle m_1v_1 + m_2v_2 = m_1v_1' + m_2v_2'[/tex]
Because the two objects combine after collision, they will have the same velocity:
[tex]\displaystyle m_1v_1 + m_2v_2 = (m_1+m_2)v_f[/tex]
Substitute and solve for final velocity:
[tex]\displaystyle \begin{aligned} (50 \text{ kg})(15\text{ m/s}) + (50\text{ kg})(10\text{ m/s}) & = ((50+50)\text{ kg})v_f \\ \\ v_f & = 12.5\text{ m/s}\end{aligned}[/tex]
In conclusion, the final velocity of the system will be 12.5 m/s.
A piece of cheese is placed on a vertical spring of negligible mass and a force constant k = 2300 N/m that is compressed by a distance of 18.0 cm. How much elastic potential energy is stored in this system? (Answer in J)
Answer:
E = 1/2 K x^2 (1/2 *F * x * x)
E = 2300 / 2 N/m * (.18 m)^2 = 37.3 Joules
The quantity of elastic potential energy that is currently stored in the system is equal to 37.26 Joules (J).
We may use the formula for elastic potential energy to compute the amount of elastic potential energy that is stored in the system, which is as follows:
PE, or Elastic Potential Energy, is 0.5 times k times x squared.
where k represents the constant force that the spring exerts and x represents the amount of compression that the spring experiences.
Given:
The spring has a force constant of 2300 Newton-meters (k).
The spring was compressed (x) by 18.0 centimetres, which is equivalent to 0.18 metres when measured in metres.
To finish, enter the values into the formula as follows:
PE = 0.5 × 2300 N/m × (0.18 m)² PE = 0.5 × 2300 N/m × 0.0324 m² PE = 37.26 J
37.26 Joules (J) is the amount of elastic potential energy that is stored in the system.
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Which scientist received a nobel prize for the discovery of x-rays?.
Answer:
That's Rontgen
Explanation:
Wilhem Rontgen
The particles that make up matter are ______, ions or molecules.
Answer:
Atoms.
Explanation:
Atoms are purely one bit of an element. Ions are positive or negative atoms. Molecules are not pure, they have other stuff with it.
Which choice most accurately traces the flow of electrons in the circuit?
this is wrong
Electrons move counterclockwise from side B of the battery to side A of the battery through each lightbulb.
Electron flow out of the negative terminal, through the circuit and into the positive terminal of the source is accurate about Electron flow.
What is electron flow?Electron flow is the current produced by the movement of free electrons moving along a positive terminal; the direction of electron flow is opposite to that of current.
Electron flow out of the negative terminal, through the circuit and into the positive terminal of the source.
Therefore, Electron flow out of the negative terminal, through the circuit and into the positive terminal of the source is accurate about Electron flow.
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Hello people ~
Sound is a kind of
(a) work
(b) energy
(c) force
(d) pressure
Answer:
B. Energy
Explanation:
Sound is a kind of energy. In physics, sound is seen as anenergy that is generated through vibrations
Answer:
Energy
Explanation:
Sound is generated through the collison of atoms or particles .It travels through air,water,solid surfaces .Sound has its speed 344m/s in air.true or false?
Electrons in a circuit move from the negative terminal of a battery toward the positive terminal.
Answer:
false
Explanation:
it moves from positive to negative
How much energy does a pair of hair straighteners transfer every second
Answer:
It depends...
Explanation:
If you know how much watts the pair of hair straighteners use, you can use that as the energy every second. A normal flat iron for hair would be 300 watts, so we could say that it uses 300 jolts or watts of energy per second.
What is the tension of the string if the cylinder has an acceleration of
In physics, the tension on a suspended object said to be equal to the weight of the object plus or minus the mass of the object times the acceleration acting on it.
~ ISS
Students in science are studying solutions and the dissolving rate of solids. One group was given some instant lemonade mix to dissolve. They used a packet of lemonade crystals and a packet of lemonade powder. The students dissolved the same amount of each solid into 100 ml of water. They varied the water temperature. List ALL the possible conclusions based the data the students collected?
Answer:
a-d
Explanation:
hope this helps
Based on the first law of thermodynamics, the energy gained by a system is _____ the energy lost by the surroundings.
Based on the first law of thermodynamics, the energy gained by a system is equal to the energy lost by the surroundings.
Laws of thermodynamicsThe laws of thermodynamics can be summarised as follow
The first law states that energy can neither be created nor destroyed. The second law states that the entropy of the universe will always increase for every spontaneous process. The third law states that for a perfect crystal at zero Kelvin, the entropy is zero.From the laws given above precisely the first law, we can conclude that the energy gained by a system is equal to the energy lost by the surroundings
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How does energy affecf a wave?
4. Point B on a wheel of radius 40 cm that is rotating at a constant 5. 0 revolutions
per second is located 0. 20 m from the axis of rotation. Pont A is just at the border
of the wheel. See the figure.
a) What is the angular velocity of the wheel in rad/s?
b) What point has a greater linear speed, A or B? Calculate both speeds and
compare the results.
c) What are the centripetal accelerations of points A and B due to the spin of the
wheel? Sketch the situation and represent the vectors linear velocity and
centripetal acceleration in points A and B. Assume the rotation of the wheel
to be clockwise.
Answer:
SD
Explanation:
Which statement describes the force diagram? the forces are balanced. the box will move to the right. the box will move to the left. the forces are unbalanced.
The answer will be A The forces are balanced. Force is an external agent applied on any object to displace it from its position. Force is a vector quantity, so with magnitude it also requires direction.
what is force?Force is an external agent applied on any object to displace it from its position. Force is a vector quantity, so with magnitude it also requires direction. Direction is necessary to examine the effect of the force and to find the equilibrium of the force.
The length of each arrow represents the magnitude of each force, while the direction of each arrow represents the direction of each force.
From the diagram, we see that the four arrows have all same length: this means that the four forces have same magnitude, therefore they are balanced in pair. In fact:
On the vertical direction, the normal reaction ([tex]F_N[/tex]) balances the weight of the box ([tex]F_g[/tex])
On the horizontal direction, the push ([tex]F_P[/tex]) balances the force of friction ([tex]F_f[/tex])
Hence the answer will be A. the forces are balanced.
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Answer:
A is your answer.
Explanation:
Good luck on your exam!
A coffee filter of mass 1.3 grams dropped from a height of 3 m reaches the ground with a speed of 0.5 m/s. How much kinetic energy Kair did the air molecules gain from the falling coffee filter
Answer: .0380575J
Explanation:
The coffee filter originally only had potential energy, which can be found by:
PE = m * g * h → PE = .0013 * 9.8 * 3 = .03822 J
*Note the mass must be in kg!!!
All of this energy should be converted to kinetic energy, but the air molecules take some of the energy; the energy they gain can be found by finding how much energy the filter has at the bottom of its fall, and subtracting this from the original energy to see how much was lost;
All of the energy at the bottom equals kinetic energy, which can be found by:
KE = 1/2 * m * v^2 → KE = 1/2 * .0013 * .5^2 = .0001625 J
Thus, the air gained .03822 - .0001625 = .0380575J :)
Which terrestrial planet exhibits retrograde rotation?.
Answer:
Planets that are farther from the sun than the earth (all but Mercury and Venus) will exhibit retrograde motion.
If the position of the planet is observed relative to the background stars, the planet will appear to move backward relative to the stars when the earth is moving in an Eastward direction faster than the planet, and the planet appears to move backwards relative to the stars
(The planet will be on the side of the earth that is opposite that of the sun)
.
Which object has a constant speed?
a bicycle coming to a stop
a racecar starting a race
a ball falling off a table
a car traveling the speed limit
If you wanted to melt ice, then heat it up, and get the water to just barely vaporize, how many equations would you need to solve for the energy used in this procedure?
Two equations will be needed to solve for the energy used in this procedure.
What is Energy?This is defined as the ability or capacity to do work. Ice being converted to vapor requires energy and the equations are seen below:
H₂O₍s₎ ⇒ H₂O₍l₎
H₂O₍l₎ ⇒ H₂O₍g₎
These are the equations which are used to calculate energy with heat being involved in both reactions.
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Complete the mechanism for the given decarboxylation by adding any missing atoms, bonds, charges, nonbonding electrons, and curved arrows
The decarboxylation reaction involves the removal and replacement of a carboxyl group with hydrogen.
What is a decarboxylation reaction?A decarboxylation reaction is one in which the carboxyl group in a carboxylic acid is replaced with hydrogen.
In living organisms, decarboxylation reactions are catalyzed by enzymes called decarboxylases or carboxy-lyases.
The decarboxylation of beta-carbonyl esters proceeds through a cyclic transition state giving an enol intermediate which then tautomerises to the carbonyl.
Therefore, a decarboxylation reaction involves the removal and replacement of a carboxyl group with hydrogen.
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The decarboxylation reaction is given with the removal of the carbon dioxide from the carboxyl group.
What is carboxyl group?The carboxyl group is the attachment of the OH and the =O functional group to the carbon atom.
In the decarboxylation reaction, there has been the removal of the carbon dioxide and the carboxyl group is replaces with the Hydrogen atom.
The decarboxylation reaction for the given reactant with the missing groups is given in the image attached.
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Control rods are used to slow down the reaction in the reactor core when the core becomes too hot. please select the best answer from the choices provided t f
In nuclear reactors, control rods are used because reactions that occur in a nuclear reactor are highly exothermic in nature.
What is a nuclear reactor?A nuclear reactor is an apparatus or structure in which radioactive material can be made to undergo a commanded, self-sufficient nuclear reaction with the resultant release of energy.
Therefore, when these control rods are infused in a nuclear reactor, than it absorbs the neutrons and helps to control the chain reaction. As a result, the rate of chain reaction gets in control.
Thus, we can conclude that the statement control rods are used to slow down the reaction in the reactor core when the core becomes too hot is a true statement.
Thus In nuclear reactors, control rods are used because reactions that occur in a nuclear reactor are highly exothermic in nature.
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Answer:
TRUE ( T )
Explanation:
Just took the test on edge