a) To find the circumference of the tire, we use the formula:
Circumference = π x diameter
where π is a constant equal to approximately 3.14.
Substituting the given diameter of 2.5 ft, we get:
Circumference = π x 2.5 ft
Circumference = 7.85 ft (rounded to two decimal places)
Therefore, the circumference of the tire is approximately 7.85 ft.
b) To find how many times the tire will have to rotate to travel 1 mile, we need to first find how many times it will rotate to travel 1 ft (since 1 mile = 5,280 ft).
The distance traveled by one rotation of the tire is equal to its circumference. From part a, we know that the circumference is 7.85 ft.
Therefore, the number of times the tire will rotate to travel 1 ft is:
1 ft ÷ 7.85 ft/rotation ≈ 0.127 rotations
(Note: We rounded to three decimal places.)
To find how many times it will rotate to travel 1 mile, we multiply by the number of feet in a mile:
0.127 rotations/ft x 5,280 ft/mile ≈ 670 rotations
Therefore, the tire will have to rotate approximately 670 times to travel 1 mile.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
The diameter of a tire is 2.5 ft. Use this measurement to answer parts a and b. Show all work to receive full credit.
Find the circumference of the tire.
About how many times will the tire have to rotate to travel 1 mile? (1 mile = 5,280 ft)
please show me how to put all the work necessary if not my teacher will give me a bad grade!!
3 answers
thx
You're welcome! Don't hesitate to ask if you have any other questions.
52 answers