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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