Question

The wheels on a bike have a diameter of 26 inches. How many full revolutions will the wheels need to make to travel 100 feet?

Answer 1

Answer:

one revolution will be the circumference of the tire, so multiply pi (3.1416) times the diameter (26 in.), to get 81.68 in.

Step-by-step explanation:

Answer 2

$14.69$ full revolutions will the wheels need to make to travel $100$ feet.

So, at first, we will calculate the circumference of the wheel:

                ∴ $C=2r$π

                ⇒$C=2*\frac{d}{2}*3.14$ [since, $radius=\frac{diameter}{2}$]

The circumference is given as π times diameter.

                ⇒$C=26*3.14=81.64 inches$.

Now, In one revolution the distance by which the bicycle moves is equal to the circumference of its wheel.

Let n revolution be required for traveling $100$ feet.

Since, $1 feet=12 inches$, we have;

                      $n*81.64=100*12$

                   ⇒$n=\frac{1200}{81.64}$

                   ⇒$n=14.69$

$14.69$ revolutions of the wheel are required to move a distance of $100$ feet.

This means that $14$ complete revolution and one $\frac{69}{100}$th revolution are required to travel $100$ feet.

How to calculate the revolution of a wheel?

use the formula: revolutions per minute = speed in meters per minute / circumference in meters. Following the example, the number of revolutions per minute is equal to: 1,877 / 1.89 = 993 revolutions per minute.

What is the formula for a revolution?

find the volume of a solid of revolution obtained from a simple function y = f(x) where the limits are obtained from the geometry of the solid. Suppose we have a curve, y = f(x). Imagine that the part of the curve between the ordinates x = a and x = b is rotated about the x-axis through 360◦.

To learn more about revolution of wheel, refer

https://brainly.com/question/16272235

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