A carousel’s angular velocity is 0.31 rad/s. What is the tangential velocity of

Question

A carousel’s angular velocity is 0.31 rad/s. What is the tangential velocity of a rider sitting on a horse 4.3 m from the carousel’s axis?
_____m/s

A point on the edge of a rotating CD (radius 6.0 cm) has a tangential velocity of 9.2 m/s. Find the CD’s angular velocity.
____rad/s

A carousel’s angular velocity is 0.31 rad/s. What is the tangential velocity of a rider sitting on a horse 4.3 m from the carousel’s axis?
_____m/s

A point on the edge of a rotating CD (radius 6.0 cm) has a tangential velocity of 9.2 m/s. Find the CD’s angular velocity.
____rad/s

An airplane moving at 43 m/s makes a turn along a circular arc. The plane’s angular velocity during the turn is 0.15 rad/s. What is the turn radius?
_____ m

Explanation / Answer

v =rw

v = tangential velocity

w = angular velocity

r = radius

part a )

w = 0.31 rad/s , r = 4.3 m v = ?

v = 0.31 x 4.3 = 1.33 m/s

part b )

v = 9.2 m/s

w = ?

r = 6 cm = 6 x 10^-2 m

w = v/r = 153.33 rad/s

part c )

v = 43 m/s

w = 0.15 rad /s

r = ?

r = v/w = 286.67 m

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