alleryStart learning →A fishing reel starts from rest and is given an angular acceleration of 110 rad/s^2 held for 2.00 s. What is its final angular velocity?
A55.0 rad/s
B110 rad/s
C220 rad/s
D440 rad/s
Answer & Solution
Correct answer: C. 220 rad/s
1. Use omega = omega_0 + alpha t, since alpha and t are given and omega is wanted.
2. Starting from rest means omega_0 = 0.
3. So omega = 0 + (110 rad/s^2)(2.00 s).
4. That gives omega = 220 rad/s.
5. Dividing rather than multiplying by the time gives 55.0 rad/s and the wrong units.
_Source: OpenStax College Physics (CC BY 4.0), Ch 10 "Rotational Motion and Angular Momentum", section 10.2 Kinematics of Rotational Motion_
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