physics

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, 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(subW) = 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, alpha, of the wheel is constant for this configuration.

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

Express the angular velocity, omega, of the wheel in terms of the displacement, d, the magnitude of the applied force, F, and the moment of inertia of the wheel, I(subW).

asked by Gabe
  1. I will be happy to critique your thinking. Post some thinking,please.

    posted by bobpursley
  2. I was finally able to figure it out. Thank you, though.

    posted by Gabe

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    In the figure below, a wheel of radius 0.275 m is mounted on a frictionless horizontal axle. A massless cord is wrapped around the wheel and attached to a 1.95 kg box that slides on a frictionless surface inclined at angle θ
  2. physics

    A disk with a mass of 29 kg and a radius of 31 cm is mounted on a frictionless horizontal axle. A string is wound many times around the disk and then attached to a 70-kg block, as shown in the figure. Find the acceleration of the
  3. physics

    A disk with a mass of 16 kg and a radius of 41 cm is mounted on a frictionless horizontal axle. A string is wound many times around the disk and then attached to a 70-kg block, as shown in the figure. Find the acceleration of the
  4. College Physics

    A wheel of radius 0.398 m is mounted on a frictionless horizontal axis. The rotational inertia of the wheel about the axis is 0.0576 kg·m2. A massless cord wrapped around the wheel is attached to a 0.790 kg block that slides on a
  5. Physics

    A yo-yo with an axle diameter of 2.00cm has a 80.0cm length of string wrapped around it many times in such a way that the string completely covers the surface of its axle, but there are no double layers of string. The outermost
  6. physics

    a wheel radius 0.25 m is mounted on a frictionless horizontal axle. the moment of inertia of the wheel about the axis is 0.040. a light cord wrapped around the wheel supports the 0.50 kg of box. the wheel is released from the
  7. physics

    Acceleration of a Mass in a Pulley System Block 1 of mass m1 slides on a frictionless plane inclined at angle θ with respect to the horizontal. One end of a massless inextensible string is attached to block 1. The string is wound
  8. physics

    A wheel is mounted on a frictionless axle. A cord is wrapped around the wheel and a mass, m= 10kg, is attached at the end of the cord.
  9. physics

    A flywheel with an axle 1.0cm in diameter is mounted in frictionless bearings and set in motion by applying a steady tension of 2N to a thin thread wound tightly round the axle. The moment of inertia of the system about its axis
  10. PHYSICS

    A string is wrapped around the rim of a flywheel 0.400 m in radius, and a steady pull of 50.0 N is exerted on the cord. The wheel is mounted in frictionless bearings on a horizontal shaft through it's center. The moment of inertia

More Similar Questions