1.

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 isA. 24 radB. 48 radC. 72 radD. 96 rad

Answer» Correct Answer - D
Given, `omega_(0) = 0, omega = 24` rad/s, `f = 8s`
From the relation , `omega = omega_(0) + alphat`
`rArr alpha = (omega - omega_(0))/(t)`
Subsituting the given values, we get
`alpha = 28//8 = 3 "rad"//s^(2)`
Also, `theta = omega_(0)t + 1/2 alphat^(2) = 0 +1/2 xx 3 xx (8)^(2)`
`= (3 xx 64)/(2) = 96` rad


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