Civil Engineering MCQAE Level Civil Engineering

A flywheel starts from rest and accelerates uniformly to 300 rpm in 10 seconds. The angular acceleration is:

Engineering MechanicsRotation KinematicsMEDIUM

Choose the correct answer

A

30 rad/s^2

B

pi rad/s^2

C

3.14 rad/s^2

D

30 rpm/s

Correct Answer

B. pi rad/s^2

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omega_f = 300 rpm = 300 x 2pi/60 = 10pi rad/s. omega_i = 0. alpha = (omega_f - omega_i)/t = 10pi/10 = pi rad/s^2 = 3.14 rad/s^2. Kinematic analogies: alpha = domega/dt (vs a = dv/dt); theta = omega_i t + 0.5 alpha t^2 (vs s = v0 t + 0.5 at^2); omega_f^2 = omega_i^2 + 2 alpha theta.

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