A street that is 227ft long is covered in snow. City workers are using a snowplow to clear the street. The snowplow has tires that are in 2.5ft diameter. How many times does a tire have to turn in traveling the length of the street? Use the value 3.14 for . Round your answer to the nearest tenth. Do not round any intermediate steps.

Question

A street that is 227ft long is covered in snow. City workers are using a snowplow to clear the street. The snowplow has tires that are in 2.5ft diameter. How many times does a tire have to turn in traveling the length of the street? Use the value 3.14 for . Round your answer to the nearest tenth. Do not round any intermediate steps.

Answer 1

To find out how many times a tire has to turn in traveling the length of the street, we need to calculate the distance the tire travels in one complete turn.

The circumference of a circle can be calculated using the formula:

C = πd

where C is the circumference and d is the diameter.

Given the diameter of the tire is 2.5ft, we can substitute it into the formula:

C = 3.14 * 2.5
C ≈ 7.85ft

So, the tire travels approximately 7.85ft in one complete turn.

To find out how many times the tire has to turn in traveling the length of the street, we divide the length of the street by the distance traveled in one complete turn:

Number of turns = Length of street / Distance traveled in one turn

Number of turns = 227ft / 7.85ft

Number of turns ≈ 28.92

Therefore, a tire has to turn approximately 28.92 times in traveling the length of the street.

Answer 2

To find out how many times a tire has to turn in traveling the length of the street, we need to determine the circumference of the tire first.

The circumference of a circle can be calculated using the formula: circumference = π * diameter.

Given that the diameter of the tire is 2.5ft, we can calculate the circumference as follows:
circumference = 3.14 * 2.5 = 7.85 ft.

Now, to find out how many times the tire has to turn in traveling the length of the street, we need to divide the length of the street by the circumference of the tire.

Number of turns = length of street / circumference of tire.

Number of turns = 227 ft / 7.85 ft ≈ 28.92 turns.

Rounded to the nearest tenth, the tire would have to turn approximately 28.9 times in traveling the length of the street.

Answer 3

each turn of the wheel covers pi*2.5 = 7.85 ft

so now you can figure how many turns the wheel has to make.