An electric motor turns a flywheel through a drive belt that joins a pulley on the motor and a pulley that is rigidly attached to the flywheel. The flywheel is a solid disk with a mass of 70.5 kg and a diameter of 1.25 m. It turns on a frictionless axle. Its pulley has much smaller mass and a radius of 0.230 m. If the tension in the upper (taut) segment of the belt is 165 N, and the flywheel has a clockwise angular acceleration of 1.67 rad/s2, find the tension in the lower (slack) segment of the belt.

Answers

Answer 1

Answer:

The tension on the slack segment of the belt is 65 N

Explanation:

The given parameters are;

The mass of the solid disk = 70.5 kg

The diameter of the flywheel disk, D = 1.25 m

The radius of the pulley = 0.230 m

If the tension in the upper segment of the belt = 165 N

The angular acceleration of the flywheel = 1.67 rad/s²

The moment of inertia of a circular disc, I = 1/2·M·r²

The radius of the flywheel, r = D/2 = (1.25 m)/2 = 0.625 m

The moment of inertia of the flywheel, I = 1/2 × 70.5 kg × (0.625 m)² = 13.7695312 m²·kg

The moment of inertia, I = 13.7695312 m²·kg

Torque, τ = Moment of Inertia, I × Angular acceleration, α

Torque, τ = I × α

τ = 13.7695312 m²·kg × 1.67 rad/s² = 22.9951171 N·m ≈ 23 N·m

The torque applied from the pulley side is given as follows;

Let [tex]T_{slk}[/tex] represent the tension on the slack segment of the belts, we have;

23 N·m = (165 N - [tex]T_{slk}[/tex]) × 0.230 m

∴ 165 N - [tex]T_{slk}[/tex] = 23 N·m/0.230 m = 100 N

[tex]T_{slk}[/tex] = 165 N - 100 N = 65 N

The tension on the slack segment of the belt, [tex]T_{slk}[/tex] = 65 N

Answer 2

The tension on the slack segment of the belt is 65 N

What is flywheel?

flywheel, heavy wheel attached to a rotating shaft so as to smooth out delivery of power from a motor to a machine. The inertia of the flywheel opposes and moderates fluctuations in the speed of the engine and stores the excess energy for intermittent use.

The given parameters are;

The mass of the solid disk = 70.5 kg

The diameter of the flywheel disk, D = 1.25 m

The radius of the pulley = 0.230 m

If the tension in the upper segment of the belt = 165 N

The angular acceleration of the flywheel = 1.67 rad/s²

The moment of inertia of a circular disc, I = 1/2·M·r²

The radius of the flywheel, r = D/2 = (1.25 m)/2 = 0.625 m

Now we will  calculate tension on the slack side

The moment of inertia of the flywheel,

[tex]I = \dfrac{1}{2} \times 70.5 kg \times (0.625 m)^2 = 13.7695312 \ m^2 \ kg[/tex]

The moment of inertia, I = 13.7695312 m²·kg

Torque, τ = Moment of Inertia, I × Angular acceleration, α

Torque, τ = I × α

τ = [tex]13.7695312 \times 1.67 = 22.9951171 Nm = 23 Nm[/tex]

The torque applied from the pulley side is given as follows;

Let  represent the tension on the slack segment of the belts, we have;

23 N·m = (165 N - ) × 0.230 m

∴ 165 N -  = 23 N·m/0.230 m = 100 N

= 165 N - 100 N = 65 N

The tension on the slack segment of the belt,  = 65 N

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Related Questions

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Answers

Answer:2.7 X 10₁₀W = 27 GW

Explanation:

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1.4 x 10₁₃J/(8.5 mins)(60s/min)=2.7 x10₁₀W=27GW

on
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An individual with a mass of 105 kg moves forward with a momentum of 575 kg-m/s. How fast are they traveling?

Answers

Answer:

5.47 m/s

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mark as brainliest

Observe: Click Reset. Turn on Show velocity vector and Show velocity components. Set vinitial to 50 m/s and set θ to 45.0 degrees. Click Play. Focus on the blue and red arrows that represent the vertical and horizontal components of the golf ball’s velocity. As the ball flies through the air, what do you notice about the blue (vertical) arrow?

Answers

Answer:

v_y = v_{oy} - g t

where the upward direction is positive, so the arrow represents this speed (blue) must decrease, reach zero and grow in a negative direction as time progresses

Explanation:

In this exercise you are asked to observe the change in velocity in a projectile launch.

If we assume that the friction force is small, the velocity in the x-axis must be constant

         vₓ = v₀ₓ

Therefore, the arrow (red) that represents this movement must not change in magnitude.

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Convection currents will transfer heat throughout a gas until what condition arises?

A.
The gas condenses and forms a liquid.

B.
The gas particles stop moving entirely.

C.
The gas has the same temperature throughout.

D.
The gas has no thermal energy in it.

Answers

Answer:

C

Explanation:

pls mark brainlest ty

have a good day

The gas has the same temperature throughout. (C)

Caroline uses 20 N of force to move a box of books 10 m. How much work
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Answers

Work = (force) x (distance)

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Answer:

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If a special type of ice has a specific heat capacity of 2060 J/kg K. How
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A. 140,000 J
B. 290,000 J
C. 56,000 J
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Answers

Answer:

Q = 144612 Joules.

Explanation:

Given the following data;

Mass = 2.6 kg

Initial temperature = -27°C to Kelvin = 273 + (-27) = 246K

Final temperature = 0°C to Kelvin = 273K

Specific heat capacity = 2060 J/kgK.

To find the quantity of heat absorbed;

Heat capacity is given by the formula;

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Q represents the heat capacity or quantity of heat.

m represents the mass of an object.

c represents the specific heat capacity of water.

dt represents the change in temperature.

dt = T2 - T1

dt = 273 - 246

dt = 27 K

Substituting the values into the equation, we have;

[tex] Q = 2.6*2060*27[/tex]

Q = 144612 Joules.

HELP ASAP THANKS

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Answers

Answer:

The law of conservation of mass is a fundamental principle of physics. According to this law, matter can be neither created nor destroyed. In other words, the mass of an object or collection of objects never changes, no matter how the parts are rearranged.

Hope it helps!!!

Answer:

their will be no change in this..

The law of conservation of mass is a fundamental principle of physics. According to this law, matter can be neither created nor destroyed. In other words, the mass of an object or collection of objects never changes, no matter how the parts are rearranged.

oints)
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Answers

Answer:Assuming the two ropes are knotted onto the same point of the wagon, the net force is computed of the sum of the two stated.The westward force is Fw = (-30,0); then the northeastward force is Fne = (50*cos(30°),50*sin(30°)).Adding the two is just adding each part, so the resulting force is Fnet = (-30+50*cos(30°),50*sin(30°)).  

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Answer:

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Explanation:

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Answers

Answer:

Nonrenewable resources are in limited supply.

Once nonrenewable resources run out, they cannot be replaced.

Even though fossil fuels can still form in nature, fossil fuels are considered nonrenewable resources.

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Even though fossil fuels can still form in nature, fossil fuels are considered nonrenewable resources.     Nonrenewable resources are in limited supply.        Once nonrenewable resources run out, they cannot be replaced.

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Answer:

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Answers

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Explanation:

Hope this helps

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Answers

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Answer:

True

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Answers

Answer:

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The definition of force in physics is: The push or pull on a massed object changes its velocity.

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.

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or, ΣF = Δp/Δt.

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Answers

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Explanation:

Explanation:

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I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

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Explanation:

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ON EDG2020

Answer: Its C and D

Explanation:

edge

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Answers

kinetic and potential. hope this helped!
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Answers

Answer:

250,000 im not really sure about this answer but this is what I got

The amount of work required to increase the speed of the car is 275000 J.

To calculate the amount of work required to increase the speed of the car, we use the formula below.

Formula:

W = m(v²-u²)/2................ Equation 1

Where:

W = amount of work needed to increase the speed of the carm = mass of the caru = initial speed of the carv = final speed of the car.

From the question,

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m = 1100 kgu = 20 m/sv = 30 m/s

Substitute these values into equation 1

W = 1100(30²-20²)/2W = 1100(900-400)/2W = 1100(500)/2W = 1100×500/2W = 275000 J

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Answer: The amplitude is 0. (assuming that the amplitude ot both initial waves is the same)

Explanation:

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Answer:

No, the resulting wave in the diagram does not demonstrate destructive interference. The resulting wave in the diagram shows a bigger wave than Wave 1 or Wave 2. If it demonstrated destructive interference, it would be a smaller wave or a horizontal line. With destructive interference, waves break down to form a smaller wave, or cancel each other out, resulting in no wave formation.

Explanation:

edge

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Answers

Answer:

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Explanation:

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Answers

Answer:

450N

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F= 450N

Hence the force is 450N

Which of the following is sensory information received from the middle ear related to movement and balance?

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Answer:

vestibular

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