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A street that is 226m long is covered in snow. City workers are using a snowplow to clear the street. The snowplow has tires that are 1.9m in diameter. How many times does a tire have to turn in traveling the length of the street?

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Answer:

The number of times the tire have to turn is approximately 37.86 times

Explanation:

The given length of the street, l = 226 m

The diameter of the snowplow tires, D = 1.9 m

The distance the snowplow travels for each turn of the tires, d = The circumference of the tires, C

C = π × D

∴ C = 1.9·π m

The distance the snowplow travels for each turn of the tires, d = C = 1.9·π m

The number of times the tire have to turn, 'n', in traveling the length of the street, l is n = l/d

∴ n = 226 m/(1.9·π m) ≈ 37.86.

The number of times the tire have to turn in traveling the length of the street, n ≈ 37.86.

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