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| PAGE: 363 | SET: Exercises | PROBLEM: 117 |
Length of the arc is 
, where 
is the radius of the circle and 
is the central angle.
Relation between linear speed 
of an object and angular speed 
of the object is 
, where is the radius of the circular motion and is measured in radians per unit time.
Angular speed 
, where 
is the angle generated by the object and 
is elapsed time.
Radius of the first pulley is 
.
Angular speed of first pulley is 
rpm.
Arc length of the first pully is 
.
Apply derivative on each side with respect to time
.
= constant.
Radius of the second pulley is 
.
Angular speed of second pulley is 
rpm.
Arc length of the first pully is 
.
Apply derivative on each side with respect to time
.
= constant.
Since the two pulleys have constant linear speed, equate the velocities.
.
.
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