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Q6.1-3PE

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College Physics (Urone)
Found in: Page 221

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Short Answer

An automobile with 0.260 m radius tires travels 80,000 km before wearing them out. How many revolutions do the tires make, neglecting any backing up and any change in radius due to wear?

The answer is 5×107 revolutions.

See the step by step solution

Step by Step Solution

Step 1: Concept and calculation of the number of revolutions of the tires

  • The radius of each of the tires is 0.260 m.
  • The distance traveled is 80,000 km.

The distance covered in one revolution of the tires will be their circumference, i.e., 2πr.

Putting the value in the expression, we get :

d=2×(3.14)×(0.260)d=1.6328  m

Step 2: Calculation of the number of revolutions of the tires

n=(80,000 km)×1000 m1 km1.6328 m= 4.9×107 5×107revolutions

Hence, the automobile’s tires complete about 5×107revolutions to travel the total distance of 80,000 km.

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