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| PAGE: 362 | SET: Exercises | PROBLEM: 110 |
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.
Diameter of the wheel is 
inches.
Radius of the wheel is 
inches.
Conversion :
1 mile = 63360 inches.
1 hour = 60 minutes.
1 minute = 60 seconds.
Convert units from inches to miles :
Number of revolutions 
.
Convert minutes into hours :
.
Angular speed of a wheel : 
.
.
Consider 
.
Substitute he values of 
and 
in above formula.
Thus, the speed of the road is 37.13 mile/hour.
Find how many revolutions per minute should the balancer be set to test a road speed of 80 miles per hour.
.
The speed of the road is 37.13 mile/hour.
The number of revolutions per minute should be 1034.3.
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