angular and linear speeds

label Calculus
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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

Nov 24th, 2014

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


Nov 24th, 2014

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Nov 24th, 2014
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Nov 24th, 2014
Oct 19th, 2017
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