Description
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
Explanation & Answer
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
When RPM=500
Linear speed =314.15*(12/2)=1884.9cm/ sec
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