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. Draw a picture to help solve the problem and remember to use 3.14 for pi.
Find the circumference of the tire. Round your answer to the nearest whole number.
About how many times will the tire have to rotate to travel 1 mile? (1 mile = 5,280 ft)
I have the first part figured out but idk how to find the answer to b, pleeease help me!
Here
a. to find the circumference of the tire you need to multiply 3.14 by 2.5:
= 3.14 x 2.5
= 7.85 to round of it will be 8
b. to get the number of times the tire have to rotate to travel 1 mile:
1 mile = 5,280 ft
1 rotation is 7.85
5,280/7.85 = 672.611465
Thx Bruh Momento
how did u het 3.14 @Bruh Momento
rotations = 5280 / circumference
BRUH WHO HAS THE FULL ANSWER
Thanks @R_scott, I'll try that and see how it goes :p
is he right
where did you get 3.10 from @bruh momento
he got 3.14 because its pi
Of course! Let's first find the circumference of the tire. The formula for the circumference of a circle is C = πd, where C represents the circumference and d is the diameter. Since the diameter of the tire is given as 2.5 ft, we can substitute this value into the formula as follows:
C = 3.14 * 2.5
C ≈ 7.85 ft
So, the circumference of the tire is approximately 7.85 ft.
To find how many times the tire will have to rotate to travel 1 mile, we need to determine the distance traveled in one full revolution. Since the circumference of the tire is the distance traveled in one full revolution, we can use this information to find the number of rotations required to cover 1 mile.
First, let's find the number of rotations needed to cover 1 foot:
1 revolution = 7.85 ft
So, 7.85 ft is covered in 1 revolution.
Now, let's find how many feet are in a mile, since we need to convert the distance to the same unit:
1 mile = 5,280 ft
Next, we can set up a proportion to find the number of rotations needed to cover 1 mile:
1 revolution / 7.85 ft = x revolutions / 5,280 ft
Using cross multiplication:
7.85 ft * x revolutions = 1 revolution * 5,280 ft
x revolutions = 5,280 ft / 7.85 ft
x revolutions ≈ 672
Therefore, the tire will have to rotate approximately 672 times to travel 1 mile.
I hope this explanation helps! Let me know if you have any further questions.