a car's wheels are 28 in. in diameter. how far (in miles) will the car travel if its wheels revolve 10,000 times without slipping
a car's wheels are 28 in. in diameter. how far (in miles) will the car travel if its wheels revolve 10,000 times without slipping?
If the wheels turn 10,000 times, the car will travel 10,000 times the circumference of the wheel. This is because it does not slip- you can see how this affects the movement just by rolling around anything round.
The circumference of a circle is pi*diameter, which in this case is pi*28" = 87.9646 inches. Multiplying by 10,000, we get 879,646 inches. Now we just have to convert to miles.
879,646 inches *(1 foot/12 inches)= 73,303.83 feet
73,303 feet* (1 mile/5280 feet)= 13.88 miles
The distance traveled, denoted by S, is the total number of wheels revolutions (10,000) times the circonference of the wheel (pi. D = pi x 28") = 10,000 x pi x 28" .To convert this distance in miles, remember that there are 1760 yards in a mile, 3 feet in a yard and 12" in a foot.Thus to find the total distance in miles you have to divide the total distance in inches by how many inches in a mile.
Thus, S = 10,000 x pi x 28 / (1760 x 3 x 12) = 13.88 miles