Angular Speed Problem?
A screw with 25 threads per centimeter is driven 1.21 cm into its fixture in 13.0 s with a cordless electric screwdriver. What is the average angular speed of the screwdriver? Give your answer in radians per second ( rad/s)
What is the answer in rotations per minute (rpm but enter no unit).
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Each centimeter contains 25 threads , so it takes 25 complete revolutions to cause the screw to move 1 cm . The screw is driven 1.21 cm , so no. of revolutions = 1.21 * 25 = 30.25 revolutions
And since each revolution = 2 pi radians, so the angular speed of the electric screwdriver is
30.25 * 2* pi / 13.0 = 60.5 pi / 13 = 14.62 rad/sec
In rotations (i.e revolutions) per minute = 30.25 / (13/60) = 139.6