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A bicycle wheel is mounted on a fixed, frictionless axle, with alight string wound around its rim. The wheel has a moment of inertia I = kmr2, where m  is its mass,  r  is its radius, and k  is a dimensionless constant between zero and one. The wheel is rotating counterclockwise with angular velocity   , when at time t  someone starts pulling the string with a force of magnitude F. Assume that the string does not slip on the wheel.



MRB_ke_3_wheel.jpg

What is the instantaneous power P delivered to the wheel via the force F_vec at time t = 0
Express the power in terms of some of the variables given in the problem introduction.

 

 

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B. Haranadh Kumar
B. Haranadh KumarLv10
17 Oct 2020

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

A Bicycle wheel is mounted on a fixed, frictionless axle. A light string is wound around the wheel's rim, and a weight is attached to the strings at its free end. the diagrams below depict the situation at three different instances:

At
t=t0, the weight is released from rest.


At t=t1, the weight is falling and the string is still partially wound around the wheel.


At t=t2, the weight and string have both reached the ground.

1. What is the direction of the angular velocity of the wheel at each time shown? If angular velocity is zero at any time, state that explicitly. Explain.
2. What is the direction of the wheel's angular acceleration at each time shown? If the angular acceleration is zero at any time, stat that explicitly. Explain.

 

A cord is wrapped around the rim of a solid uniform wheel 0.250 m in radius and of mass 9.20 kg. A steady horizontal pull of 40.0 N to the right is exerted on the cord, pulling it off tangentially from the wheel. The wheel is mounted on frictionless bearings on a horizontal axle through its center. (a) Compute the angular acceleration of the wheel and the acceleration of the part of the cord that has already been pulled off the wheel. (b) Find the magnitude and direction of the force that the axle exerts on the wheel. (c) Which of the answers in parts (a) and (b) would change if the pull wefre upward instead of horizontal?

A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. A constant tangential force of 250 N applied to the edge causes the wheel to have an angular acceleration of 0.940 rad/s^2. (a) What is the moment of inertia of the wheel? (b) What is the mass of the wheel? (c) If the wheel starts from rest, what is its angular velocity after 5.00 s have elapsed, assuming the force is acting during that time?

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