A force of 16.88 n is applied tangentially to a wheel of radius 0.340 m and causes an angular acceleration of 1.20 rad/s2. What is the moment of inertia of the wheel?

Question

Lawson Price

Physics

25 July, 10:33

A force of 16.88 n is applied tangentially to a wheel of radius 0.340 m and causes an angular acceleration of 1.20 rad/s2. What is the moment of inertia of the wheel?

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Answers (1)

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Nakita · Answer 1

4.78 kg/m^2.

Explanation:

τ = Iα

Where,

τ = torque, around a defined axis (N∙m)

I = moment of inertia (kg∙m2)

α = angular acceleration

= 1.2 rad/s^2

τ = F * r

= 16.88 * 0.34

= 5.74 N. m

Therefore, I = 5.74/1.2

= 4.78 kg/m2