Pre-Calculus, 9th edition
110

 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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