A constant given torque T of 0.073 Newton-meters is applied to a free-spinning bicycle wheel of mass m 4.3 kg, radius R of 0.27 meters as shown. The rotational inertia of the wheel is given by the expression: I = mR. a) What is the angular acceleration of the wheel? (Hint: Use the rotational analog of Newton's 2nd Law). b) Assuming the wheel starts at rest, how much time will it take for the wheel to be spun to a final rotational velocity of w= 22.2 radians/second? (Hint: This is analogous to translational motion with constant acceleration). %3! c) A small piece of mud is stuck to the outside edge of of the wheel. What is the centripetal accel- eration on the piece of mud after time T 5.0 seconds of torque have been applied? (Hint: find the angular velocity, and then consider the piece of mud as instantaneously moving with Uniform Circular Motion). %3D

A constant given torque T of 0.073 Newton-meters is applied to a free-spinning bicycle wheel of mass m 4.3 kg, radius R of 0.27 meters as shown. The rotational inertia of the wheel is given by the expression: I = mR. a) What is the angular acceleration of the wheel? (Hint: Use the rotational analog of Newton's 2nd Law). b) Assuming the wheel starts at rest, how much time will it take for the wheel to be spun to a final rotational velocity of w= 22.2 radians/second? (Hint: This is analogous to translational motion with constant acceleration). %3! c) A small piece of mud is stuck to the outside edge of of the wheel. What is the centripetal accel- eration on the piece of mud after time T 5.0 seconds of torque have been applied? (Hint: find the angular velocity, and then consider the piece of mud as instantaneously moving with Uniform Circular Motion). %3D

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter12: Rotation I: Kinematics And Dynamics

Section: Chapter Questions

Problem 12PQ

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