A point on the rim of a wheel moves with a velocity of 100 feet per second. Find the angular velocity of the point if the diameter of the wheel is 8 feet.25 rad/sec12.5 rad/sec400 rad/sec800 rad/secNEXT QUESTION
Question
A point on the rim of a wheel moves with a velocity of 100 feet per second. Find the angular velocity of the point if the diameter of the wheel is 8 feet.25 rad/sec12.5 rad/sec400 rad/sec800 rad/secNEXT QUESTION
Solution
To find the angular velocity of a point on the rim of a wheel, we can use the formula:
Angular velocity = Linear velocity / Radius
Given that the linear velocity is 100 feet per second and the diameter of the wheel is 8 feet, we need to find the radius of the wheel.
The radius of the wheel is half of the diameter, so the radius is 8 feet / 2 = 4 feet.
Now we can calculate the angular velocity:
Angular velocity = 100 feet per second / 4 feet
Angular velocity = 25 rad/sec
Therefore, the angular velocity of the point on the rim of the wheel is 25 rad/sec.
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