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A wheel rotating with uniform angular ac...

A wheel rotating with uniform angular acceleration covers 50 revolutions in the first five seconds after the start. Find the angular acceleration and the angular velocity at the end of five seconds.

Text Solution

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`theta=(1)/(2)alphat^(2)`
`thereforealpha=(2theta)/(t^(2))=(2(50)(2pi))/((5)^(2))`
`=(8pi)rad//s^(2)`
`=25.14rad//s^(2)`
`omega=(alpha,t)`
`=(8pi)(5)`
`=(40pi)rad//s`
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Knowledge Check

  • A body rotating with uniform angular acceleration covers 100 pi (radian) in the first 5 s after the start. Its angular speed at the end of 5 s (in rad/s) is

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