a large wheel has a diameter of 303030 inches, and a small wheel has a diameter of 202020 inches. how many revolutions does the small wheel need to make to travel the same distance that the large wheel travels in 240240240 revolutions?

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20-12-2022
Mathematics

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a large wheel has a diameter of 303030 inches, and a small wheel has a diameter of 202020 inches. how many revolutions does the small wheel need to make to travel the same distance that the large wheel travels in 240240240 revolutions?

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abhinavjh321 abhinavjh321 · Answer 1 · 2022-12-26T05:37:40-05:00

The small wheel need 16161616 revolutions to make to travel the same distance that the large wheel.

The formula for calculating the number of revolutions required for a wheel to travel a certain distance is revolutions = distance / (π x diameter). Therefore, the number of revolutions the small wheel needs to make to travel the same distance as the large wheel in 240240240 revolutions is equal to 240240240 x (π x 202020) / (π x 303030). This simplifies to 16161616 revolutions

To break this down further, the large wheel needs to make 240240240 revolutions to travel a certain distance. The diameter of the large wheel is 303030 inches, so its circumference is 303030π inches. This means that the large wheel needs to travel 240240240 x 303030π inches to travel the same distance.

The small wheel has a diameter of 202020 inches, so its circumference is 202020π inches. To travel the same distance as the large wheel, the small wheel needs to travel 240240240 x 303030π inches / 202020π revolutions. This simplifies to 16161616 revolutions for the small wheel.

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