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A flywheel at rest is to reach an angu...

A flywheel at rest is to reach an angular velocity of 24 rad/s in 8 second with constant angular acceleration. The total angle turned through during this interval is

A

24 rad

B

48 rad

C

72 rad

D

96 rad

Text Solution

Verified by Experts

The correct Answer is:
D
`omega_(0)=0, omega=24rad//s, t=8 s`
`therefore alpha=(omega-omega_(0))/(8)=3rad//s^(2)`
`theta=omega_(0)t+1/2alphat^(2)`
`=0+1/2xx3xx(8)^(2)`
`=(3xx64)/(2)=96"rad"`
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