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Mila
1 month ago
11

A car tire with a radius of 16inches is turning at a rate of 120 revolutions per minute. Find the exact linear speed of the tire

in feet per minute.
Mathematics
1 answer:
babunello [11.8K]1 month ago
4 0

Answer:

The car's tire moves at a speed of 1002.24 feet per minute.

Step-by-step explanation:

Given:

The radius of the car tire is r = 16 inches

Since 12 inches equals 1 foot,

16 inches converts to \frac{1}{12}×16 = 1.33 feet

The wheel completes 120 revolutions every minute.

Let the speed of the tire be s feet per minute.

The wheel's circumference is calculated as 2 × \pi × radius.

Here, \pi equals 3.14.

Thus, circumference = 2 × 3.14 × 1.33.

Therefore, Circumference = 8.352 feet.

Now, Speed = circumference of the wheel × revolutions per minute.

Thus, Speed = 8.352 feet × 120 revolutions per minute.

∴ Speed = 1002.24 feet per minute.

Thus, the car's tire speed is 1002.24 feet per minute. Answer

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