• anonymous
Diameter=2ft, The warranty of the tires is 60,000mi. How do you determine the angle in radians that will rotate during the warranty? How many revolutions are there of the tire?
  • Stacey Warren - Expert
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  • chestercat
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  • anonymous
Well we know that 1 revolution per minute = 360 degrees = 2*pi in radians right? Now if you had to travel for 60,000 miles then you would divide that by the number by the circumference of the circle. imagine tearing a tire from one point and then laying it out flat. you will see that the circumference of the tire equals the distance travelled. Using this fact we get, 60000 miles / 2*pi * (2ft/2) = 4774.789. This means you will need to rotate your tire 4774.789 times to travel 60000 miles. In other words, you will your revolutions = 4774.789. Now to find the degrees that you will rotate your tire, simply multiply the revolutions * 2pi and that will be the total number of angle in radians that you will rotate your tire.

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