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A belt runs a pulley of radius 6 cm at 80 rpm a what is the angular velocity of the pulley in radians per second b what is the linear velocity of the blt in centimeters per second?
Margaret05
-- 80 rpm = 160 pi per minute = (160 pi / 60) = (8/3 pi) radians per second.
-- Circumference = 2 pi R = 12 pi centimeters.
Linear velocity = (circumference x RPM) or (radius x angular velocity).
Let's use the second one, since we already calculated the angular velocity, and it's in seconds.
Linear velocity = (radius) x (angular velocity) = (6 x 8/3 pi) = 16 pi = 50.27 cm/sec (rounded)
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