Project 19 –

A car tire stands about 23 inches tall.

a. What is the diameter of this tire?

b. How far will the tire move if the tire rolls one complete revolution?

c. If you drive on this tire 10,000 miles during a year, about how many complete revolutions does the tire roll? (Hint: Convert the units so that they are all the same.)

Hints:

Circumference = or Circumference =

Area of a circle =

5,280 feet = 1 mile

Respuesta :

a. The diameter of the tire is 23 inches.

b. The distance moved in 1 revolution is 72.26 in

c. The number of revolutions in 10,000 miles is 8768337 revolutions

a. Diameter of tire

The diameter of the tire is 23 inches.

Since tire stand 23 inches tall, and its height is its diameter. Then,its diameter is 23 inches.

The diameter of the tire is 23 inches.

b. Distance moved in 1 revolution

The distance moved in 1 revolution is 72.26 in

Since 1 revolution = circumference = πD where d = diameter of tire = 23 inches.

So, the distance moved in 1 revolution = πD

= π × 23 in

= 72.26 in

So, the distance moved in 1 revolution is 72.26 in

c. The number of revolutions in 10000 miles

The number of revolutions in 10,000 miles is 8768337 revolutions

Since we require the number of revolutions in 10,000 miles, we convert this to inches.

So, 10000 miles × 5280 ft/mile × 12 in/1 ft = 633600000 in

Since 1 revolution = 72.26 in, the number of revolution in 633600000 in =  633600000 in ÷ 72.26 in/rev

= 8768336.56

≅ 8768337 revolutions

So, the number of revolutions in 10,000 miles is 8768337 revolutions

Learn more about diameter of tire here:

https://brainly.com/question/25669299

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE