3. Consider a large windmill 30m in diameter. On a windy day, suppose that the windmill entrains a stream of air at a speed of 40 mph. Downstream of the windmill, the entrained stream exits over a large diameter at a speed of 20 mph. The pressure is 2atm at the inlet and equals atmospheric pressure at the outlet. Find the power (in megawatts) generated by the windmill. Density of air is 1.2 kg/m3

Answers

Answer 1

Answer:

The power generated by the windmill is approximately 1.364 MW

Explanation:

The diameter of the windmill, d = 30 m

The inlet speed of the wind, [tex]V_e[/tex] = 40 mph = 17.88 m/s

The exit stream velocity, [tex]V_i[/tex] = 20 mph = 8.94 m/s

The pressure at the inlet, P₁ = 2 atm

The pressure at the outlet, P₂ = 1 atm

The density of air, ρ = 1.2 kg/m³

The power obtained from the windmill, 'P', is given as follows;

[tex]P =\dfrac{1}{4 \cdot g_c} \cdot \rho \cdot A \cdot (V_i + V_e)\cdot (V_i^2 - V_e^2)[/tex]

Where;

[tex]g_c[/tex] = 1.0 kg/(N·s²)

A = Cross-sectional rea of the the windmill =  π·D²/4 = π×(30 m)²/4 = 706.858347 m²

Plugging in the values, we get;

[tex]P =\dfrac{1}{4 \times 1.0} \times1.2 \times 706.858347 \times (17.88 + 8.94)\cdot (17.88^2 - 8.94^2) = 1363668.19438[/tex]

The power generated by the windmill, P ≈ 1363668.19438 W ≈ 1.364 MW.


Related Questions

Calculate the ratio of the drag force on a passenger jet flying with a speed of 1200 km/h at an altitude of 10 km to the drag force on a prop-driven transport flying at one-fourth the speed and half the altitude of the jet. At 10 km the density of air is 0.38 kg/m3 and at 5.0 km it is 0.67 kg/m3. Assume that the airplanes have the same effective cross-sectional area and the same drag coefficient C. (drag on jet / drag on transport)

Answers

Answer:

[tex]2.267[/tex]

Explanation:

Drag force is given by

[tex]F=\dfrac{1}{2}\rho Av^2C[/tex]

C = Drag coefficient is constant

A = Area is constant

[tex]v_1[/tex] = Velocity of the passenger jet = 1200 km/h = [tex]\dfrac{1200}{3.6}\ \text{m/s}[/tex]

[tex]v_2[/tex] = Velocity of the prop plane = [tex]\dfrac{1}{4}v_1[/tex]

[tex]\rho_1[/tex] = Density of the air where the jet was flying = [tex]0.38\ \text{kg/m}^3[/tex]

[tex]\rho_2[/tex] = Density of the air where the prop plane was flying = [tex]0.67\ \text{kg/m}^3[/tex]

[tex]F\propto \rho v^2[/tex]

[tex]\dfrac{F_1}{F_2}=\dfrac{\rho_1 v_1^2}{\rho_2 v_2^2}\\\Rightarrow \dfrac{F_1}{F_2}=\dfrac{0.38 v_1^2}{0.67 (\dfrac{1}{4}v_1^2)}\\\Rightarrow \dfrac{F_1}{F_2}=2.267[/tex]

The ratio of the drag forces is [tex]2.267[/tex].

What is the acceleration of an object going from O m/s to 25 m/s in 5s?

Answers

Answer:

5m/s^2 is the acceleration.

Answer:

[tex]\boxed {\boxed {\sf a= 5 \ m/s^2}}[/tex]

Explanation:

Acceleration is the change in speed over time.

[tex]a=\frac{ v_f-v_i}{t}[/tex]

The object accelerates from 0 meters per second to 25 meters per second in 5 seconds.

[tex]v_f= 25 \ m/s\\v_i= 0 \ m/s \\t= 5 \ s[/tex]

Substitute the values into the formula.

[tex]a=\frac{ 25 \ m/s -0 m/s }{ 5 \ s}[/tex]

Solve the numerator.

[tex]a=\frac{25 \ m/s}{5 \ s}[/tex]

Divide

[tex]a= 5 \ m/s/s= 5 \ m/s^2[/tex]

The object's acceleration is 5 meters per square second.

Q5. Use Superposition to V. in the circuit below? (5 points)
4 mA
12V
2 ΚΩ
2 mA
1 ΚΩ
2 ΚΩ

Answers

Answer:

4va

12va

2jk

1jk

2jk

You are trying to push a 30 kg canoe across a beach to get it to a lake. Initially, the canoe is
at rest, and you exert a force over a distance of 3 m until it has a speed of 1.2 m/s.

a. How much work was done on the canoe?

b. The coefficient of kinetic friction between the canoe and the beach is 0.2. How much work was done by friction on the canoe?

c. How much work did you perform on the canoe?

d. What force did you apply to the canoe?

Answers

Answer:

m = 30, g = 9.8, coefficient = 0.2, so force due to friction = 30 x 9.8 x 0.2 = 58.8 N, so work done by friction = 58.8 x 1.2 = 70.56 J

Explanation:

Concept Simulation 4.1 reviews the central idea in this problem. A boat has a mass of 4490 kg. Its engines generate a drive force of 4520 N due west, while the wind exerts a force of 890 N due east and the water exerts a resistive force of 1210 N due east. Take west to be the positive direction. What is the boat's acceleration, with correct sign

Answers

Answer:

-0.54m/s²

Explanation:

According to Newton's second law of motion

F = ma

Force = mass * acceleration

Given

Mass m = 4490kg

Take the sum of forces

Sum of force along the east = 890+1210 = 2100N

Sum of forces along the west = -4520N

Net force = -4520+2100

Net force = -2420N

Acceleration = Net force/Mass

Acceleration = -2420/4490

Acceleration = -0.54m/s²

Hence the boat acceleration is -0.54m/s²

what type of reaction is being shown in this energy diagram?

X exothermic, because energy is absorbed from the surroundings

O exothermic, because energy is released into the surrounding

X endothermic, because energy is released into the surrounding

X endothermic, because energy is absorbed from the surroundings​

best of luck nerds

Answers

Answer:

O exothermic, because energy is released into the surrounding

Explanation:

From the diagram the energy of the reactant is higher than the energy of the product, thereby making it exothermic. If you study diagram well, exothermic reaction means that the reactions releases energy into the surroundings.

Dereck is looking at how electrically charged objects can attract other objects without touching. What control would he need to use?

An electrically charged object
An uncharged object
A positively charged object
A negatively charged object

Answers

Answer:

its An uncharged object.

if its not charged the electrically wont go on it

Answer:

uncharged object

Explanation:

help please due today ​

Answers

Answer:

equal and opposite

Explanation:

..........

Which of the following statements is true?
A. Friction primarily affects objects that contain iron.
B. Friction pulls objects toward the center of the Earth
C.
Friction does not affect objects in motion.
D.
Friction slows down or stops objects in motion.

Answers

Answer:

D. Friction slow down or stop objects in motion.

Someone help please

Answers

Answer:

it would be downwards due to gravitational force

How much force is needed to accelerate a Kia Soul with a
mass of 1200 kg to 5 m/s2?

Answers

Answer:

[tex]\boxed {\boxed {\sf 6,000 \ Newtons}}[/tex]

Explanation:

Force is the product of mass and acceleration.

[tex]F=ma[/tex]

The mass of the Kia Soul is 1200 kilograms and its acceleration is 5 meters per square second.

[tex]m= 1200 \ kg \\a= 5 \ m/s^2[/tex]

Substitute the values into the formula.

[tex]F= 1200 \ kg * 5 \ m/s^2[/tex]

Multiply.

[tex]F= 6000 \ kg*m/s^2[/tex]

1 kilgram meter per square second is equal to 1 Newton. Our answer of 6000 kg*m/s² equals 6000 N

[tex]F= 6000 \ N[/tex]

Answer:

Given :-Mass = 1200 kgAcceleration = 5 m/s²To Find :-

Force

Solution :-

We know that

F = ma

F = Force

m = mass

a = acceleration

F = 1200 × 5

F = 6000 N

[tex] \\ [/tex]

2. (9 points) A car starts from 10 mph and accelerates along a level road, i.e., no grade change. At 500 ft from its starting point, a radar gun measures its speed as 50 mph. Assuming the car had a constant rate of acceleration, (a) calculate the time elapsed between when the car started at 10 mph to when its speed was measured and (b) what will the speed of the car be another 500 ft downstream of this point

Answers

Answer:

a) t = 11.2 s

b) v = 70.5 mph

Explanation:

a)

Since we need to find the time, we could use the definition of acceleration (rearranging terms) as follows:

       [tex]t = \frac{v_{f} - v_{o}}{a} (1)[/tex]

where vf = 50 mph, and v₀ = 10 mph.However, we still lack the value of a.Assuming that the acceleration is constant, we can use the following kinematic equation:

       [tex]v_{f} ^{2} - v_{o} ^{2} = 2*a* \Delta x (2)[/tex]

Since we know that Δx = 500 ft, we could solve (2) for a.In order to simplify things, let's first to convert v₀ and vf from mph to m/s, as follows:

       [tex]v_{o} = 10 mph*\frac{1609m}{1mi} *\frac{1h}{3600s} = 4.5 m/s (3)[/tex]

       [tex]v_{f} = 50 mph*\frac{1609m}{1mi} *\frac{1h}{3600s} = 22.5 m/s (4)[/tex]

We can do the same process with Δx, from ft to m, as follows:

       [tex]\Delta x = 500 ft *\frac{0.3048m}{1ft} = 152.4 m (5)[/tex]

Replacing (3), (4), and (5) in (2) and solving for a, we get:

       [tex]a = \frac{v_{f} ^{2} - v_{o}^{2}}{2*\Delta x} = \frac{(22.5m/s) ^{2} - (4.5m/s)^{2}}{2*152.4m} = 1.6 m/s2 (6)[/tex]

Replacing (6) in (1) we finally get the value of the time t:

        [tex]t = \frac{v_{f} - v_{o}}{a} = \frac{(22.5m/s) - (4.5m/s)}{1,6m/s2} = 11.2 s (7)[/tex]

b)

Since the acceleration is constant, as we know the displacement is another 500 ft (152.4m), if we replace in (2) v₀ by the vf we got in a), we can find the new value of vf, as follows:

       [tex]v_{f} = \sqrt{v_{o} ^{2} +( 2*a* \Delta x)} = \sqrt{(22.5m/s)^{2} + (2*1.6m/s2*152.4m)} \\ v_{f} = 31.5 m/s (8)[/tex]

If we convert vf again to mph, we have:

       [tex]v_{f} = 31.5m/s*\frac{1mi}{1609m} *\frac{3600s}{1h} = 70.5 mph (9)[/tex]

pls help me this is a major SOS pls help pls btw this is IXL

Answers

Explanation:

the object with the higher temperature has greater thermal energy

So the answer is

the stick of butter with less thermal energy.

Hope it will help :)

Answer:

The stick of butter with less thermal energy

Explanation:

I am pretty sure

You are driving a car behind a truck. Both your car and the truck are moving at a speed of 80km/hr. If the driver of the truck suddenly slams on the brakes, what minimum distance betweenyour car and the truck is needed so that your car does not crash into the truck’s rear end? (This is called the "​minimum trailing distance​".) To simplify this problem, assume that the truck andthe car have the same braking acceleration.

a. In order to simplify the calculations for this problem, you are told to assume that the braking acceleration of the car and the truck are the same. What other reasonable assumptions do you need to make in order to solve this problem?
b. For both the truck and the car, draw an acceleration- and velocity-versus-time graph.
c. Find an expression for the minimum trailing distance. (Your expression should only contain symbols of physical quantities. No numbers are needed here.)
d. Find the numerical value for the minimum trailing distance (Plug the values of physical quantities into your expression from part A (do not forget units!))

Answers

Answer:

Explanation:

Let the velocity of car and truck be u and breaking acceleration be a .

We shall have to assume the reflex time of the driver of the car . By the time he applies brake , his car will cover some distance . There will be some time tag between the time the truck starts decelerating and the driver of the car responding to that . During this period the car will not start decelerating . It will keep on moving with uniform velocity of u .

Let this time lag be t .

b )

For answer see the attached file

c )

The minimum trailing distance will be the distance covered by car before it starts decelerating in response to truck's deceleration .

minimum trailing distance d = u x t

d )  u = 80 km / h = 22.22 m /s

reflex action time t = 0.1 s  ( assumed time )

d = 22.22 x .1

= 2.2 m

Suppose one Sherpa uses a force of 980 N to move a load of equipment to a height of 20 meters in 25 seconds. How much power is used?

Answers

F = 980 N

h = 20 m

t = 25 s

P=? (power)

W=F*h   (work)

P=W*t  

P=F*h*t

P=980*20*25 =490000 W = 490 kW = 0.49 MW

Which of the following describes the products of a chemical reaction?
A. The original materials
B. The substances that are changed
C. The chemicals on the left side of a chemical equation
Ο Ο
D. The chemicals on the right side of a chemical equation

Answers

Answer:

D The chemicals on the right side of a chamical equation

If you stand on a trampoline, it depresses under your weight. When you stand on a hard stone floor, __________. If you stand on a trampoline, it depresses under your weight. When you stand on a hard stone floor, __________. the floor deforms very slightly under your weight only if you are heavy enough does the floor deform at all under your weight the floor does not deform at all under your weight

Answers

Answer:

the floor deforms very slightly under your weight

Explanation:

A trampoline is made up of a large piece of strong cloth held by springs on which you jump up and down as a sport. So, If you stand on a trampoline, it depresses under your weight.  However, the floor does not deform under your weight as it is too stiff.

Therefore,

when you stand on a hard stone floor, the floor deforms very slightly under your weight.

Explain the difference in the function of plant and animal cell organelles, including cell membrane, cell wall, nucleus, cytoplasm, mitochondria, chloroplast, and vacuole

Answers

Answer:

Plant cell Animal cell

2. Have a cell membrane. 2. Have no chloroplasts.

3. Have cytoplasm. 3. Have only small vacuoles.

4. Have a nucleus. 4. Often irregular in shape.

5. Often have chloroplasts

containing chlorophyll. 5. Do not contain plastids.

A motorcycle and rider have a total mass equal to 300 kg. The rider applies the brakes, causing the motorcycle to decelerate at a rate of -5 m/s^2. What is the net force on the motorcycle?

Answers

Answer:

Net force = - 1500 N

Explanation:

We calculate the net force acting using Newton's second Law:

[tex]F_{net}=m*a\\F_{net}=(300 \,kg)*(-5\,m/s^2)\\F_{net}=-1500\,N[/tex]

2) The track for a racing event was designed so that riders jump off the slope at 37 degrees from a height of 1 m. During a race it was observed that the rider remained in mid air for 1.5 seconds. Determine the speed at which he was traveling off the slope, the horizontal distance he travels before striking the ground and the maximum height he attains. Neglect the size of the bike and rider.

Answers

Answer:

3.277 m

Explanation:

Given :

Maximum Height (Hmax) = (u²sin²θ) / 2g

Xv = Xh + Uv * t + 0.5gt²

Xv and Xh are vertical and horizontal distances

-1 = 0 + sin37 * 1.5 Uv + 0.5*-9.8*1.5^2

-1 = 0 + 0.903Uv - 11.025

-1 + 11.025 = 0.903Uv

10.025 = 0.903Uv

Uv = 10.025 / 0.903

Uv = 11.10 m/s

Hmax = 1 + (u²sin²θ) / 2g

= (11.10^2 * (sin37)^2) / 2*9.8

= 44.624360 / 19.6

= 2.277

Hmax = 1 + 2.277

Hmax = 3.277 m

g Since astronauts in orbit are apparently weightless, a clever method of measuring their masses is needed to monitor their mass gains or losses to adjust diets. One way to do this is to exert a known force on an astronaut and measure the acceleration produced. Suppose a net external force of magnitude 46.0 N is exerted and the magnitude of the astronaut's acceleration is measured to be 0.834 m/s2. Calculate her mass.

Answers

Newton’s second law is F = mass times acceleration.

F divided by acceleration equals her mass.

46/0.834 = 55.156 kg

A vertical wire carries a current straight up in a region of the magnetic field directed north. What is the direction of the magnetic force on the current due to the magnetic field

Answers

Answer:

The direction of the force on the vertical wire is towards the East or right.

Explanation:

Using Fleming's right hand rule, the current is the middle finger pointing straight up, the magnetic field is the fore-finger pointing Northwards and then the thumb is the direction of the force on the vertical wire.

Following these conventions, the thumb points towards the East. So, the direction of the force on the vertical wire is towards the East or right.

A boat is moving in a river with a current that has speed vW with respect to the shore. The boat first moves downstream (i.e. in the direction of the current) at a constant speed, vB , with respect to the water. The boat travels a distance D in a time tOut . The boat then changes direction to move upstream (i.e. against the direction of the current) at a constant speed, vB , with respect to the water, and returns to its original starting point (located a distance D from the turn-around point) in a time tIn .
1) What is tOut in terms of vW, vB, and D, as needed?
2) What is tIn in terms of vW, vB, and D, as needed?
3) Assuming D = 120 m, tIn = 170 s, and vW = 0.3 m/s, what is vB, the speed of the boat with respect to the water?
4) Once again, assuming D = 120 m, tIn = 170 s, and vW = 0.3 m/s, what is tOut, the time it takes the boat to move a distance D downstream?

Answers

Answer:

Explanation:

Current  has speed vW with respect to the shore and boat has speed vB with respect to water or current so speed of boat  with respect to shore

vW + vB .

Distance travelled with respect to shore by boat = D

time ( tout ) = distance / speed with respect to shore

tOut = D / ( vW + vB )

When the boat travels upstream , its velocity with respect to shore

= ( vB - vW ) , vB must be higher .

tin = D /  ( vB - vW )

3 ) tin = D /  ( vB - vW )

170 = 120 / (vB - 0.3 )

(vB - 0.3 ) = 12 / 17 = .706

vB = 1.006 m / s

4 )

tOut = D / ( vW + vB )

= 120 / ( .3 + 1.006 )

= 92.26 s

Time taken by a body is ratio of the distance traveled by it to the speed.

1)The expression for [tex]t{out}[/tex] is,

          [tex]t_{out}=\dfrac{D}{v_B+v_W}[/tex]

2)The expression for [tex]t{in}[/tex] is,

           [tex]t_{in}=\dfrac{D}{v_B-v_W}[/tex]

3) The speed of the boat with respect to the water is 1.006 m/s. 4) The time it takes the boat to move a distance D downstream is 91.9 seconds.

What is upstream and downstream speed?

The net speed of the boat is upstream speed. The difference of the speed of the boat is downstream speed.

Given information-

The speed of the boat with respect to shore is [tex]v_w[/tex].

The speed of the boat in downstream with respect to water is [tex]v_B[/tex].

The distance traveled by the boat is [tex]D[/tex] in time [tex]t_{out}[/tex].

Time taken by a body is ratio of the distance traveled by it to the speed.

1) The net speed of the boat is upstream speed.As the distance traveled by the boat is [tex]D[/tex] in time [tex]t_{out}[/tex]. Thus,

        [tex]t_{out}=\dfrac{D}{v_B+v_W}[/tex]

2) The difference of the speed of the boat is downstream speed.As the distance traveled by the boat is [tex]D[/tex] in time [tex]t_{in}[/tex]. Thus,

        [tex]t_{in}=\dfrac{D}{v_B-v_W}[/tex]

Now the distance is 120 m, the value of [tex]t_{in}[/tex] is 170 s and [tex]v_W[/tex] 0.3 m/s. Thus,

3) The speed of the boat with respect to the water-Put the values in the formula obtains from the 2nd part of the problem,

         [tex]170=\dfrac{120}{v_B-0.3}\\v_B-0.3=\dfrac{120}{160} \\v_B=0.706+0.3\\v_B=1.006[/tex]

Hence the speed of the boat with respect to the water is 1.006 m/s.

4) The time it takes the boat to move a distance D downstream-Put the values in the formula obtains from the 1st part of the problem,

          [tex]t_{out}=\dfrac{120}{1.006+0.3}\\t{out}=\dfrac{120}{1.306} \\t{out}=91.9[/tex]

Hence the time it takes the boat to move a distance D downstream is 91.9 seconds.

Thus,

1)The expression for [tex]t{out}[/tex] is,

          [tex]t_{out}=\dfrac{D}{v_B+v_W}[/tex]

2)The expression for [tex]t{in}[/tex] is,

           [tex]t_{in}=\dfrac{D}{v_B-v_W}[/tex]

3) The speed of the boat with respect to the water is 1.006 m/s. 4) The time it takes the boat to move a distance D downstream is 91.9 seconds.

Learn more about the upstream and downstream speed here;

https://brainly.com/question/800251

How long will it take an object traveling at 90 kilometers per hour to travel 910 kilometers?

Answers

Explanation:

time = distance / velocity

We know that distance = 910 km and velocity = 90 km/h.

t = d / v

t = 910 km / 90 km/h

t = 10.11 hrs

The object traveled for 10.11 hours long. Hope this helps, thank you !!

Bartender slides a beer mug at 1.1 m/s towards a customer at the end of the bar which is 1.8 m tall. The customer makes a grab for the mug and misses and mug sails at the end of the bar. a) How far away from the end of the bar does the mug hit the floor

Answers

Answer:

Δx = 0.7 m

Explanation:

Once the mug is moving in the horizontal direction, it keeps moving at the same speed of 1.1 m/s, due to no other force acts on it in this direction.Since the horizontal and vertical movements are independent each other (due to they are mutually perpendicular), in the vertical direction, the initial speed is just zero.In the vertical direction, the mug is accelerated by the force of gravity at all times, with a constant value of 9.8 m/s2, aimed downward.So, we can use the following kinematic equation in order to get the time passed from the instant that the mug left the bar, until it hit the floor, as follows:[tex]\Delta y = \frac{1}{2} * g* t^{2} = (1)[/tex]where  Δy = 0-1.8m = -1.8m, g= -9.8m/s2.Replacing these values in (1) and solving for t, we get:

       [tex]t = \sqrt{\frac{2*1.8m}{ 9.8m/s2} } = 0.6 s (2)[/tex]

Now, since the mug obviously finishes its horizontal trip at this same time (hitting ground), we can find the horizontal distance traveled, just applying the definition of average speed, as follows:

       [tex]\Delta x = v_{o} * t = 1.1 m/s* 0.6 s = 0.7 m (3)[/tex]

Displacement vector A points due east and has a magnitude of 1.9 km. Displacement vector B points due north and has a magnitude of 2.08 km. Displacement vector C points due west and has a magnitude of 2.4 km. Displacement vector D points due south and has a magnitude of 2.8 km. Find the magnitude and direction (relative to due east) of the resultant vector A + B + C + D

Answers

Answer:

Explanation:

We shall represent all the four displacement in vector form  in terms of unit vector i and j where i represents unit vector towards east , j represents unit vector towards north .

Displacement of A

D₁ = 1.9 i

Displacement of B

D₂ = 2.08 j

Displacement of C

D₃ = - 2.4 i

Displacement of D

D₄ = -2.8 j

Resultant displacement

= 1.9 i + 2.08 j - 2.4 i - 2.8 j

= - 0.5 i - 0.72 j

magnitude of resultant vector

= √ ( .5² + .72² )

=√ ( .25 + .5184 )

= √ .7684

= .876 km

Both i and j are negative of resultant displacement

hence its direction is towards south of west . Angle with west is Ф .

TanФ = .5184 / .25 = 2.0736

Ф = 64.25° .

From east direction is  = 180 + 64.25 = 244.25° .

How can you drop two eggs the fewest amount of times, without them breaking?

Answers

Because the shell didn’t crack.

I hope this helps.

Answer:

get 2 jugs of water put an egg in each one drop the jugs with parachutes on them in long grass on a sunny non windy day

Explanation:

egg+ground=broken

egg-ground= egg+air

egg+air=unbroken

egg+water= egg+wet

egg+water= unbroken

egg+egg= 2 egg

egg+egg+air= egg+egg+unbroken+unbroken

egg+egg+unbroken+unbroken=(egg+unbroken)2

longgrass+egg= 40%unbroken+60broken+egg

longgrass+egg+egg=20%unbroken+80%broken+2egg

ground+water=mud

mud+egg=unbroken+egg+muddy

air+water=raining

egg+raining+air=wet+egg+slip+50%broken+50%unbroken

ask if need more proof

Name the state of matter that diffusion happens the fastest in.

Answers

Answer:

Liquids

Explanation:

Diffusion occurs fastest in liquids.

Which of the following does NOT have a positive impact on your position on the
health continuum?
avoiding risk behaviors
having a positive social environment
eating nutritious foods
O having a chronic disease

Answers

Answer:

Having a chronic disease

Explanation:

Mischievous Joey likes to play with his family's lazy susan (this drives Mom crazy because it is an antique). He puts the salt shaker near the edge and tries to spin the tray at a speed so that the shaker just barely goes around without slipping off. Joey finds that the shaker just barely stays on when the turntable is making one complete turn every two seconds. Joey's older sister measures the mass of the shaker to be 79 grams. She also measures the radius of the turntable to be 0.23 m, and she is able to calculate that the speed of the shaker as it successfully goes around in a circle is 0.7222 m/s.

Required:
What is the magnitude of the horizontal part of the contact force on the shaker by the turntable?

Answers

Answer:

0.179 N

Explanation:

What is the magnitude of the horizontal part of the contact force on the shaker by the turntable?

The horizontal part of the constant force of the turntable on the shaker is the centripetal force of the turntable on the shaker, F.

So, F = mv²/r where m  = mass of shaker = 79 g = 0.079 kg, v = speed of shaker = 0.7222 m/s and r = radius of turntable = 0.23 m

So, substituting the values of the variables into the equation, we have

F = mv²/r

F = 0.079 kg (0.7222 m/s)²/0.23 m

F = 0.0412 kgm/s² ÷ 0.23 m

F = 0.179 kgm/s²

F = 0.179 N

Other Questions
the management information systems department and the technology department in a company are engaged in a conflict because they have overlapping responsibilities. this is an example of conflict based on: group of answer choices jurisdictional ambiguity interdependence status inconsistencies common resources specialization This Treaty in 1918 gave substantial Russian territory to the Central Powers but became void due to the Treaty of Versailles.a. Treaty of Svresb. Treaty of Brest-Litovskc. Treaty of Parisd. Treaty of Moscow The function f(x) =501170(0. 98)^x gives the population of a Texas city `x` years after 1995. What was the population in 1985? (the initial population for this situation) Analyzing Purpose and Audience for Presentations. As the president of the student environmental action association at your college, you are scheduled to speak at a series of events. For each of the following, identify your purpose, analyze your audience and relationship to it, your approach and tone, and how you would present content (with or without the benefit of visual aids).a) an assembly for incoming Year 1 students introducing them to your student group, among othersb) a half-day outdoor rally bringing together environmental activists from your communityc) a national conference on climate change where you are delivering a keynote presentation. in the cycle of violence that is involved with battering, contrite phase is what stage follows the acute battering incident. T/F T/F: African American, single-parent families are heavily overrepresented among the persistently poor in the United States. We will use this assignment multiple times, as we write our position paper. The final score is out of 150, as each of the three paragraphs is worth 50pts. Therefore, after paragraph 1, your score will be out of 50; with paragraph 2, out of 100, etc. PARAGRAPH 1: Informational paragraph about immigration to the United States Using the sources below and MLA in-text citations, write an informational paragraph about immigration to the United States. The goal is to write a concise paragraph that will give someone an overview of immigration in the US, which may include: The history of immigration USKey events that have impacted immigration in the USRecent statistics on immigration in the USKey laws (policy) on immigration in the US Why people move to the United StatesWhat awaits people when they move to the United StatesAfter reading your paragraph, I should walk away with a decent understanding of immigration in the U.S. The half life of indium-111, a radioisotope used in studying the distribution of white blood cells is t1/2 = 2.805 days. What is the decay constant of 111In?Please explain in a step by step method if possible. if a current of 110 aa is passed through the leg of a patient, how many chloride ions pass a cross section of the leg per second? by what factor does an object's momentum change if you double its speed when its original speed is 30 m/s ? so that clients do not call at the last minute to let you know they will not be able to make a session, the personal trainer-client agreement must include clear language with respect to the: The base of a solid is the circle x2 + y2 = 25. Find the volume of the solid given that the cross sections perpendicular to the x-axis are squares. a) 2012 3 2000 b) 3 1997 3 2006 3 2006 2009 e) 2009 3 Match each of the following definitions associated with heart disease and heart failure to the term that it defines:A. A left ventricular dysfunction resulting from aging, hypertension, atherosclerosis or muscle damage from an AMI or repeated AMIs.B. An area of tissue death that occurs due to lack of oxygen.C. An inadequate blood supply that decreases availability of oxygen.D. Chest pain caused by inadequate supply of oxygen to heart myocardium. x=11+t , y=7tet. express in the form y=f(x) by eliminating the parameter. (use symbolic notation and fractions where needed.) discuss the importance of monitoring work areas, record keeping and processes within the central service department 1. Assume the following sales data for a company:2020 $1,050,0002019 950,0002018 800,0002017 650,000If 2017 is the base year, what is the percentage increase in sales from 2017 to 2019?a. 100%b. 61.5%c. 46.2%d. 68.4% An apartment building casts a shadow that is 40 feet long at the same time one of the tenants casts a shadow 8 feet long. If the tenant is 5.5 feet tall, how tall is the apartment building? B-oxidation and fatty acid biosynthesis are conserved pathways among many organisms. How have these organisms evolved to ensure both pathways do not occur at the same time? a. B-oxidation occurs in the cytosol and fatty acid biosynthesis occurs in the mitochondria. This compartmentalization prevents activation of both pathways simultaneously. b. Both pathways occur in the cytosol. The cell can therefore recognize activation of enzymes specific to each pathway and can prevent the activation of the opposing pathway. c. Rapid energy depletion promotes B-oxidation in the cytosol. If there is not sufficient energy stored at that time, fatty acid biosynthesis will be promoted in the mitochondria. This compartmentalization allows activation of both pathways during such extreme circumstances. d. Both pathways occur in the mitochondria. The cell can therefore utilize energy from the Krebs cycle to inhibit the opposing pathway. e. B-oxidation occurs in the mitochondria and fatty acid biosynthesis occurs in the cytosol. This compartmentalization prevents activation of both pathways simultaneously. whether a movement of people is an example of immigration or emigration depends on whether given two nonnegative numbers x and y such that x y=7, what is the difference between the maximum and minimum of the quantity x2y249?