A wheel accelerates with a constant angular acceleration of 5 rad/s^2 from an in

Question

A wheel accelerates with a constant angular acceleration of 5 rad/s^2 from an initial angular speed of 2.0 rad/s. A. Through what angle does the wheel turn in the first 3.0 s
B. What is its angular speed at that time? A wheel accelerates with a constant angular acceleration of 5 rad/s^2 from an initial angular speed of 2.0 rad/s. A. Through what angle does the wheel turn in the first 3.0 s
B. What is its angular speed at that time? A. Through what angle does the wheel turn in the first 3.0 s
B. What is its angular speed at that time?

Explanation / Answer

A = 5 rad/sec² constant angular acceleration

Wf = (A*t) + Wø --------initial angular velocity = Wø = 2 rad/sec
W = (5)(2) + 2 --------after 2 seconds
W = 12 rad/sec^2 -------final angular velocity

Wav = (W + Wø) 2
Wav = (12 + 2) 2
Wav = 7 rad/sec

Total Angular Displacement = oa = (Wav)*t
= (7)(2)
= 14 radians

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