Answer :

Final answer:

The speed of the wheel is found by calculating the circumference (using the formula π times diameter), converting revolutions per minute to revolutions per second, and then multiplying these two values together. The calculated speed of the wheel is approximately 21.98 meters per second.

Explanation:

The speed of a rotating wheel can be calculated by multiplying the circumference of the wheel by the number of revolutions per unit time. First, to find the circumference, you use the formula πd (π times the diameter), so the circumference of the wheel is 14cm times π, which is approximately 43.96cm. To convert this to meters, divide by 100, which results in approximately 0.4396m.

Next, convert the number of revolutions per minute to revolutions per second by dividing by 60. This results in 50 revolutions per second.

Then, multiply the circumference by the number of revolutions per second to find the speed. So, 0.4396m times 50 gives you a speed of approximately 21.98 meters per second.

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