Step-by-step Answer
PAGE: 362SET: ExercisesPROBLEM: 110
Please look in your text book for this problem Statement

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.


"I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!"

June Barnett

"Your site is amazing! It helped me get through Algebra."


"My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful."

Dan Pease

Simply chose a support option

My status

JOIN US ON:     
mathskey.com is not affiliated with any Publisher, Book cover, Title, Author names appear for reference only