Question

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

Answer 1

Correct Answer - 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"`