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A small wheel of radius 1.4cm drives a large wheel of radius 15cm by having their circumferences pressed together. If the small wheel turns at 407 rad/s, how fast does the larger one turn? Answer in rad/s

This is what I was thinking...

radius of smaller wheel = .014m

radius of larger wheel = .15m

circumference of smaller wheel = 2*pi*r = 2*3.14*.014 = .08792

angular velocity of smaller wheel (given) = 407 rad/s

angular velocity = circumference/time

time = circumference/angular velocity

=.08792/407 = .000216s

circumference of larger wheel = 2*pi*r = 2*3.14*.15 = .942

angular velocity = circumference/time

=.942/.000216 =4361.11 rad/s

Does this approach look right?

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# Homework Help: Circular motion question

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