First slide
General Planar motion
Question

The angular velocity of a rotating disc decreases linearly with angular displacement from 60 revolutions per minute to zero during 10 revolutions as shown. The angular velocity of the disc 3 seconds after it begins to slow down is

Moderate
Solution

 As ω2ω02=2αθ022π×60602=2×α×2π×10α=π/10 radian /sec2Now,  ω=ω0+αt=2π×6060π10×3=17π10rad/sec2

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