4. A wheel having a diameter of 3 m starts from rest
and accelerates uniformly to an angular velocity of
210 cp.m. in 5 s. Angular acceleration of the wheel is
(A) 1.47 rad's
(B) 3.37 rad s
(C) 2.2 rad
(D) 1.1 rad's
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Explanation:
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Answer:
Explanation:
Average Angular Acceleration = Change in Angular Velocity / Change is Time
Average Angular Acceleration = Δω/Δt
Initial angular velocity = 0 rad/second (∵ it is at rest)
Final angular velocity = 210 rotation per minute
rad/second
= 7 rad/second
Change in Angular Velocity = Δω = 7 rad/second - 0
= 7 rad/second
Change in Time = 5 - 0 = 5 seconds
Now,
Average Angular Acceleration = Δω/Δt
= 7 / 5 rad/second²
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