An electric motor rotating a workshop grinding wheel at a rate of 151 rev/min is switched off. Assume constant angular deceleration of magnitude 2.23 rad/s 2. Through how many revolutions does the wheel turn before it finally comes to rest

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Physics

30 July, 15:20

An electric motor rotating a workshop grinding wheel at a rate of 151 rev/min is switched off. Assume constant angular deceleration of magnitude 2.23 rad/s 2. Through how many revolutions does the wheel turn before it finally comes to rest

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Marlene · Answer 1

Initial angular velocity ω₀ = 151 x 2π / 60

= 15.8 rad / s

final velocity = 0

Angular deceleration α = 2.23 rad / s

ω² = ω₀² - 2 α θ

0 = 15.8² - 2 x 2.23 θ

= 55.99 rad

one revolution = 2π radian

55.99 radian = 55.99 / 2 π no of terns

= 9 approx.