Question 445877: Determine the linear velocity of a point rotating at an angular velocity of 8pie radians per second at a distance of 3 meters from the center of a rotating object
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Determine the linear velocity of a point rotating at an angular velocity of 8pie radians per second at a distance of 3 meters from the center of a rotating object
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Using dimensional analysis to solve,
knowing the angular speed, radians covered by 1 revolution, distance traveled by 1 revolution=circumference 3 meters from center, and making sure the units cancel out properly.
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(8π radians/sec)*(1 revolution/2π radians)*(2π*3 meters/1 revolution)
cancelling out radians and revolution
=(8π/sec)(1/2π)(6π meters)
=24π meters/sec (ans)
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