Question

A wheel free to rotate about its axis that is not frictionless is initially at rest. A constant external torque of +56 N·m is applied to the wheel for 20 s, giving the wheel an angular velocity of +610 rev/min. The external torque is then removed, and the wheel comes to rest 120 s later. (Include the sign in your answers.) (a) Find the moment of inertia of the wheel. kg·m^2 (b) Find the frictional torque, which is assumed to be constant. N·m

          A wheel free to rotate about its axis that is not frictionless is initially at rest. A constant external torque of +56 N·m is applied to the wheel for 20 s, giving the wheel an angular velocity of +610 rev/min. The external torque is then removed, and the wheel comes to rest 120 s later. (Include the sign in your answers.)
(a) Find the moment of inertia of the wheel.
kg·m^2
(b) Find the frictional torque, which is assumed to be constant.
N·m

A wheel free to rotate about its axis that is not frictionless is initially at rest. A constant external torque of +56 N·m is applied to the wheel for 20 s, giving the wheel an angular velocity of +610 rev/min. The external torque is then removed, and the wheel comes to rest 120 s later. (Include the sign in your answers.)
(a) Find the moment of inertia of the wheel.
kg·m^2
(b) Find the frictional torque, which is assumed to be constant.
N·m

Added by Juan H.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Paul Gabriel

04/13/2022

Step 1

Given: Initial angular velocity, ωi = 0 rev/min Final angular velocity, ωf = 610 rev/min = 610 * 2π rad/min Time, t = 20.5 s Convert final angular velocity to rad/s: ωf = 610 * 2π * (1/60) = 64.05 rad/s Angular acceleration, α = (ωf - ωi) / t α = (64.05 - 0) / Show more…

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A wheel free to rotate about its axis that is not frictionless is initially at rest. A constant external torque of +56 N·m is applied to the wheel for 20 s, giving the wheel an angular velocity of +610 rev/min. The external torque is then removed, and the wheel comes to rest 120 s later. (Include the sign in your answers.) (a) Find the moment of inertia of the wheel. kg·m^2 (b) Find the frictional torque, which is assumed to be constant. N·m