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1 May, 23:35

A flywheel of mass 192 kg has an effective radius of 0.620 m (assume that the mass is concentrated along a circumference located at the effective radius of the flywheel). What constant torque is required to bring the wheel from rest to an angular speed of 131 rev/min in a time interval of 30.0 s? 30.92 N⋅m

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  1. 1 May, 23:38
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    30.85 N-m

    Explanation:

    we can use the work energy theorem

    that ΔK = 1/2Iω_f^2 - 1/2Iω_i^2

    = 1/2mR_eff^2*ω_f^2-0

    = 0.5*192*0.62^2*2π*120/60

    =0.463

    b) If the torque is constant then so is the angular acceleration. Hence, ω_f = ω_i+αt

    now α = 4π/30 = 0.4180

    then we use the relationship τ = Iα = to calculate the torque

    τ = mr^2 (α)

    τ = 192*0.62^2*0.4180

    = 30.85 N-m
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