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In Mathematics / High School | 2014-03-17

At a speed of 22 revolutions per minute, how long will it take a wheel of radius 10, rolling on its edge, to travel 10 feet?

(Assume [tex]p = \frac{22}{7}[/tex], and express the answer to the nearest 0.1 second.)

Asked by Teresa218

Answer (2)

Well, if the radius is 10, then the circumference is 7 2 ∗ 10 ∗ 22 ​ = 7 440 ​ What's the unit? Either way, 22 rev. per minute means each minute you go by 22 ∗ 7 440 ​ = 7 9680 ​ units per second. Now you got the linear speed, just find out the time by dividing the distance by the speed!
So, what's the unit for the radius?

Answered by Anonymous | 2024-06-10

The time it takes for a wheel with a radius of 10 feet, rolling at 22 revolutions per minute, to travel 10 feet is approximately 0.4 seconds. This is calculated by first determining the wheel's circumference and speed, then using the speed to find the travel time. Thus, it demonstrates how linear speed relates to time and distance.
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Answered by Anonymous | 2024-10-15

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