A fan is switched on and undergoes an angular acceleration of 150 rad/s^2 from rest. How long does it take to reach its maximum angular velocity of 50 rad/s?
A0.3 s
B3.0 s
C30 s
D300 s
Answer & Solution
Correct answer: A. 0.3 s
1. t = omega / alpha, starting from rest.
2. t = 50 rad/s / 150 rad/s^2.
3. t = 0.33 s, which rounds to 0.3 s.
_Source: OpenStax Physics (CC BY 4.0), Ch 6 "Circular and Rotational Motion", section 6.3 Rotational Motion_
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