The diameter of the wheels on your car is 25 inches. You are going to drive 458 miles today. Each of your wheels is going to tur

Question

3 years ago

8

n by an angle of ___ degrees.
Hint: a mile has 5280 feet. A foot has 12 inches, and the circumference of a circle with a diameter of d equals (pi)d

1 answer:

Kipish [7] · Answer 1 · 2022-10-13T15:59:58+03:00

d = Diameter of wheels = 25 inches

s = Distance to be traveled by the wheels = 458 miles

Converting the miles to inches

$s=458\times 5280\times 12=29018880\ \text{inches}$

The distance traveled by the wheels in rotation is the circumference

$D=\pi d\\\Rightarrow D=\pi\times 25$

The number of rotations required to cover the distance would be

$\dfrac{s}{D}\\ =\dfrac{29018880}{\pi\times 25}\\ =369479.855599$

$1$ rotation is $360^{\circ}$ so

$369479.855599\times 360=133012748.016^{\circ}$

The number of rotations to cover the required distance is $133012748.016^{\circ}$

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