The radius of driving wheel of an engine is 1.5 metre. How many revolutions will it make in travelling 22 metre?

Question

22-10-2024
Mathematics

High School

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The radius of driving wheel of an engine is 1.5 metre. How many revolutions will it make in travelling 22 metre?

Answer :

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sandeepskp456 sandeepskp456 · Answer 1 · 2023-12-26T07:02:23-05:00

Final answer:

To find the number of revolutions the driving wheel will make while traveling 22 meters, calculate the circumference using the formula 2πr, then divide the distance traveled by this circumference. Using the given radius of 1.5 meters, the number of revolutions is approximately 22 / (3π).

Explanation:

Finding the Number of Revolutions of a Driving Wheel

To find how many revolutions the driving wheel of an engine will make when travelling a certain distance, we can use the formula for the circumference of a circle (C=2πr), which represents the distance covered in one revolution.

The radius (r) of the driving wheel is given as 1.5 metres, so the circumference (C) is:

C = 2π(1.5 m) = 3π m

The total distance traveled is 22 meters. To find the number of revolutions (N), divide the total distance by the circumference:

N = Total distance / Circumference
N = 22 m / 3π m

Now, calculate N by simplifying:

N ≈ 22 / (3π)

Therefore, the driving wheel will make approximately 22 / (3π) revolutions in traveling 22 meters.

Using this method, we can solve a variety of problems involving the calculation of the number of revolutions that a wheel will make given its radius and the distance traveled.