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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
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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