Question

A wheel has a radius of 28cm how many revolution will it make to travel 704m​

Answer 1

Answer:

$\red\star$ The Number of revolutions made by a wheel of radius of 28cm to travel 704 m = 400.

SOLUTION

Radius of the wheel = 28cm.

One Revolution of the Wheel = Circumference of the wheel

Circumference of the Wheel = 2πr

Let us Put ,

r = 28 and π = 22/7

Then,

$\sf Circumference \: of \: the \: Wheel = 2 * \dfrac{22}{7} * 28$

$\implies$

Circumference of the Wheel = 2 × 22 × 4

∴ The Circumference of the Wheel = 176 cm.

$\sf Number \: of \: revolutions \; made \; by \; the \; wheel = \dfrac{Total \: Distance \:Covered }{Circumference \: of \: the \: wheel}$

Here,

Circumference of the Wheel = 176 cm.

Total Distance Covered = 704 m = 704 × 100 = 70400 cm.

$\sf Number \: of \: revolutions \; made \; by \; the \; wheel = \dfrac{70400 }{176}$

∴ The Number of revolutions made by the wheel = 400.