In: Physics
A bicycle wheel is rotating at 41 rpm when the cyclist begins to pedal harder, giving the wheel a constant angular acceleration of 0.50 rad/s2
What is the wheel's angular velocity, in rpm, 9.0 s later?
1 revolution = 2
radians
1 minute = 60 seconds
Initial angular speed of the bicycle wheel =
1 = 41 rpm
Converting the initial angular speed from rpm to rad/s
1
= 4.294 rad/s
Angular acceleration of the wheel =
= 0.5 rad/s2
Angular velocity f the wheel after 9 sec =
2
Time period = T = 9 sec
2
=
1 +
T
2
= 4.294 + (0.5)(9)
2
= 8.794 rad/s
Converting from rad/s to rpm,
2
= 83.97 rpm
Angular velocity of the wheel after 9 sec = 83.97 rpm