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PhysicsQ&A LibraryA bicycle wheel is mounted on a fixed, frictionless axle. A massless string is wound around the wheel's rim, and a constant horizontal force F of magnitude F starts pulling the string from the top of the wheel starting at time t=0 when the wheel is not rotating. Suppose that at some later time t the string has been pulled through a distance d. The wheel has moment of inertia I=kmr2, where k is a dimensionless number less than 1, m is the wheel's mass, and r is its radius. Assume that the string does not slip on the wheel.The force F pulling the string is constant; therefore the magnitude of the angular acceleration α of the wheel is constant for this configuration.Find the magnitude of the angular velocity ω of the wheel when the string has been pulled a distance d.Express the angular velocity ω of the wheel in terms of the displacement d, the magnitude F of the applied force, and the moment of inertia of the wheel Iw.Question

Asked Oct 5, 2019

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A bicycle wheel is mounted on a fixed, frictionless axle. A massless string is wound around the wheel's rim, and a constant horizontal force F of magnitude F starts pulling the string from the top of the wheel starting at time t=0 when the wheel is not rotating. Suppose that at some later time t the string has been pulled through a distance d. The wheel has moment of inertia I=kmr^{2}, where k is a dimensionless number less than 1, m is the wheel's mass, and r is its radius. Assume that the string does *not* slip on the wheel.

The force F pulling the string is constant; therefore the magnitude of the angular acceleration α of the wheel is constant for this configuration.

Find the magnitude of the angular velocity ω of the wheel when the string has been pulled a distance d.

Express the angular velocity ω of the wheel in terms of the displacement d, the magnitude F of the applied force, and the moment of inertia of the wheel I_{w}.

2 Ratings

Step 1

Given that the magnitude of angular acceleration is constant .

Write the expression for ang...

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