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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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  1. 25 July, 10:36
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    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
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