How do you find the number of revolutions a wheel with a diameter of 40 cm makes when traveling a distance of 176 m?

Question

High School

Answer :

suparnakse26 suparnakse26 · Answer 1 · 2025-01-30T11:02:25-05:00

The wheel makes approximately 140.8 revolutions in traveling a distance of 176 m.

To find the number of revolutions a wheel makes, we can use the formula:

Number of revolutions = Distance traveled / Circumference of the wheel

First, we need to calculate the circumference of the wheel using the formula:

Circumference = π * Diameter

Given that the diameter of the wheel is 40 cm, we can substitute this value into the formula:

Circumference = π * 40 cm

Next, we need to convert the distance traveled from meters to centimeters, as the circumference is in centimeters:

Distance traveled = 176 m * 100 cm/m

Now, we can substitute the values into the formula for the number of revolutions:

Number of revolutions = (176 m * 100 cm/m) / (π * 40 cm)

Simplifying the expression, we get:

Number of revolutions ≈ 140.8

Therefore, the wheel makes approximately 140.8 revolutions in traveling a distance of 176 m.

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