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A car travels at 8,800 feet per minute. If the radius of the tire on the car is 2 feet, how many revolutions does one of these tires make in three minutes?(22/7=pi)

Respuesta :

A revolution is once around the outside measure of the tire. This is also known as the circumference of a circle. The circumference of this tire is found in the formula

[tex] C=2\pi r [/tex]

where r is the radius of the tire and pi is given as the fraction equivalent 22/7. If we fill in the formula accordingly, we have

[tex] C=2(\frac{22}{7})(2) [/tex] and the circumference is [tex] \frac{88}{7} [/tex]. This means for us that the tire travels a total of 88/7 feet in 1 revolution. If the tire travels 8,800 feet in one minute, we need to find out how moany revolutions this is equal to. We find this out by dividing 8,800 by 88/7. Doing this looks like this:

[tex] \frac{8800}{1}*\frac{7}{88} [/tex].

Remember that when we divide fractions, we bring up the bottom fraction and flip it to multiply. That means that the tire makes 700 revolutions in 1 minute. In 3 minutes it makes 700 times 3 which is 2100 revolutions.

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