MATH SOLVE

4 months ago

Q:
# The tires on your bicycle have a radius of 8 inches. How many rotations does each tire make when you travel 700 feet? Round your answer to the nearest whole number. Please help me

Accepted Solution

A:

"One rotation" would be the circumference of the wheel, which is

C = 2*pi*r, or (here) C = 2*pi*(8 inches) = 16*pi inches.

1 ft

Convert this to feet: 16*pi inches times ---------------

12 inches

Here "inches" cancels out and you are left with (4/3)pi ft.

So, one rotation of the wheel moves you and your bike forward (4/3)pi ft.

Divide this into 700 feet:

700 ft 2100

------------- = --------- rotations = 525 rotations (answer)

(4/3) pi ft 4

C = 2*pi*r, or (here) C = 2*pi*(8 inches) = 16*pi inches.

1 ft

Convert this to feet: 16*pi inches times ---------------

12 inches

Here "inches" cancels out and you are left with (4/3)pi ft.

So, one rotation of the wheel moves you and your bike forward (4/3)pi ft.

Divide this into 700 feet:

700 ft 2100

------------- = --------- rotations = 525 rotations (answer)

(4/3) pi ft 4