A dvd is 12 centimeters in diameter. the drive motor of the dvd player rotates betwe 200 and 500 revolut per minute, depending on what track is being read.

a) find an interval for the angular speed

b) find an interval for the linear speed

a) angular speed=RPM*2πrrad/min

=RPM*2πr/60 rad/sec

=RPM*2π(12/2)/60 rad/ sec

=RPM*π/5 rad/sec

Whem RPM=200

Angular speed=200*π/5=40π=125.6 rad/sec

When RPM=500

Angular speed=500*π/5=100π=314.15 rad/sec

b) linear speed=radius* angular speed

=RPM*π/5*(12/2)

=RPM*π6/6 cm/sec

When RPM=200

Linear speed =125.6*(12/2)=753.6cmsec

Linear speed =314.15*(12/2)=1884.9cm/ sec

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