How do I figure this out
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The angular velocity is 16 radians per second
<u>Solution:</u>
The angular velocity of point is given by formula:
Where,
w is the angular velocity in radians
v is the linear velocity
r is the radius
Given that diameter of wheel is 10 feet
Thus radius is 5 feet
A point on the rim of a wheel moves with a velocity of 80 feet per second
Linear velocity = v = 80 feet per second
Therefore, angular velocity is given as:
Thus angular velocity is 16 radians per second