Respuesta :
Answer:
The car is travelling at [tex]\frac{125\pi }{11}[/tex], or about 35.7 mph.
Explanation:
First, we need to know the circumference. The equation to find it is [tex]c = 2\pi r[/tex] or [tex]c = \pi d[/tex]. We know the diamtere is 2 feet, so [tex]c = 2\pi[/tex].
The wheels turning 500 times a minute means that the car is traveling [tex]500*2\pi =1000\pi[/tex] feet a minute.
There are 60 minutes in an hour and there are 5280 feet in a mile, so we need to multiply the answer by 60 and divide it by 5280:
[tex]\frac{1000\pi feet}{minute}*\frac{60 minutes}{1 hour}*\frac{1 mile}{5280 feet} = \frac{125\pi}{11}[/tex]
The car is travelling at [tex]\frac{125\pi }{11}[/tex], or about 35.7 mph.
