SOLUTION: Story Problem A special vehicle for traveling on glacial ice has tires that are 4.8 ft in diameter. If the vehicle travels at 3.5 mi/h, what is the angular velocity (in r/min) o

Algebra ->  Trigonometry-basics -> SOLUTION: Story Problem A special vehicle for traveling on glacial ice has tires that are 4.8 ft in diameter. If the vehicle travels at 3.5 mi/h, what is the angular velocity (in r/min) o      Log On


   



Question 456959: Story Problem
A special vehicle for traveling on glacial ice has tires that are 4.8 ft in diameter. If the vehicle travels at 3.5 mi/h, what is the angular velocity (in r/min) of the tire?

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Linear velocity v and angular velocity w are related by the formula v = r*w, where r is the radius of the circle. The radius of the tire is 4.8/2 = 2.4 ft = 0.000454 mi.
Hence, w+=+v%2Fr+=+3.5%2F0.000454+=+7709.25 radians per hour, or 128.49 radians per minute, is the angular velocity.