A wheel with rotational inertia i is mounted on a fixed, frictionless axle. the angular speed ω of the wheel is increased from zero to ωf in a time interval t. what is the average net torque τ on the wheel during this time interval?

Question

Cherish Oneill

Physics

8 March, 15:32

A wheel with rotational inertia i is mounted on a fixed, frictionless axle. the angular speed ω of the wheel is increased from zero to ωf in a time interval t. what is the average net torque τ on the wheel during this time interval?

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Ashly · Answer 1

According to Newton's second law:

τ = Iα, where I is the moment of inertia and α is the angular acceleration.

Angular acceleration can be written as:

α = (ωf - ωi) / t

α = ωf/t

Substituting into the second law:

τ = Iωf/t