SOLUTION: The wheel of a truck is turning at 6 revolutions per second. The wheel is 4 feet in diameter.
A. Find the angular velocity of the wheel in radians per second.
B. Find the linea
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Question 156584: The wheel of a truck is turning at 6 revolutions per second. The wheel is 4 feet in diameter.
A. Find the angular velocity of the wheel in radians per second.
B. Find the linear velocity in feet per second of a point on the rim of the wheel.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The wheel of a truck is turning at 6 revolutions per second. The wheel is 4 feet in diameter.
A. Find the angular velocity of the wheel in radians per second.
B. Find the linear velocity in feet per second of a point on the rim of the wheel.
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A. 6 rev/sec = 6*2PI radians/sec
= 37.699 rad/sec
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B. C = 2PIr (circumference)
Each rev moves the truck that far, so it's C*rev/sec
= 2PIr*6
= 2PI*2*6
= 24PI feet/sec
= 75.398 ft/sec
Note that the linear speed is the radians/sec time the radius.
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