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A computerized spin balance machine rotates a 25-inch-diameter tire at 430 revolutions per minute.
(a) Find the road speed (in miles per hour) at which the tire is being balanced. (Round your answer to two decimal places.)


Sagot :

Diameter D = 25 inch

Radius r= D/2 = 25/2 = 12.5 inch

"1 ft = 12 inch and 1 mile = 5280 feet". R = 12.5×(1/12)×(1/5280) mile

Revolution n =430 rev./minute , n=430 × 60 rev./hour

Angular speed=2 × pi × n  =2 × pi × n radian per hour  =2 × pi × 430 × 60

a)  Road speed = r × angular speed  

Road speed = 12.5 × (1/12) × (1/5280) × (2 × pi × 430 × 60)

Road speed = 31.98 miles per hour

What is a revolution?

A revolution is a radical transfer in the founded order, often the founded government and social institutions.

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