Questions

The angular speed of the wheel of a vehicle is increased from 360 rpm to 1200 rpm in 14 s. Its angular acceleration is [NEET 2020]

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a

2πrad/s2

b

28πrad/s2

c

120πrad/s2

d

1 rad/s2

detailed solution

Correct option is A

Initial angular speed of wheel,ω0=2πf0=2π×36060rad/s=12πrad/sFinal angular speed of wheel,ω=2πf=2π×120060rad/s=40πrad/st = 14 sFrom the equation of rotational motion, ω=ω0+αt⇒ α=ω-ω0t=40π-12π14=28π14=2πrad/s2

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A stationary wheel starts rotating about its own axis at uniform angular acceleration 8rad/s^{2}. The time taken by it to complete 77 rotations is

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