A bicycle wheel has an initial angular velocity of 1.50 rad/s.
A bicycle wheel has an initial angular velocity of 1.50 rad/s.
a) If its angular acceleration is constant and equal to 0.300 rad/s², what will its angular velocity be at t = 2.50 s?
b) What angle has the wheel turned through between t = 0 and t = 2.50 s?
2 Answers
a) The new angular velocity will be given by
1.5 + 0.3 * 2.5 = 2.25 rad/sec
b) The total number of radians turned will be the average angular velocity multiplied by the total duration (2.5 seconds).
Since this is simple constant acceleration, the angular velocity is linear, so we can just take the average of the starting and stopping points:
average angular velocity = (1.5 + 2.25)/2 = 1.875 rad/sec
multiplied by the time interval:
1.875 * 2.5 = 4.6875 radians
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