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a point on the rim of a wheel moves with a velocity of 80 feet per second. What is the angular velocity of the point if the diameter of the wheel is 10 feet

User Mr Pang
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1 Answer

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The angular velocity is 16 radians per second

Solution:

The angular velocity of point is given by formula:


w = (v)/(r)

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


radius=(diameter)/(2)


radius = (10)/(2)=5

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:


w = (80)/(5) = 16

Thus angular velocity is 16 radians per second

User Fed
by
7.5k points

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