Question

A car wheel is 56 cm in diameter. A. How far does the car go in one revolution of the wheel?

B. How far does it go in 100 revolutions?

Answer 1

The car moved 175.84 cm in one revolution

The car has moved 17584 cm in 100 revolutions

Solution:

Given that car wheel is 56 cm in diameter

diameter = 56 cm

To find: distance traveled in one revolution of wheel

Usually wheel is of circular shape

one revolution of wheel = circumference of circle

The circumference of circle is given as:

`c = 2 \pi r`

We know that,

diameter = 2(radius)

`d = 2r`

So the circumference becomes:

`c = \pi d`

substitute
`\pi` = 3.14 and d = 56 cm

`c = 3.14 * 56 = 175.84`

Thus the car moved 175.84 cm in one revolution

B. How far does it go in 100 revolutions

Distance covered in 100 revolutions = 100 x Distance covered in 1 revolution

`\rightarrow 100 * 175.84 = 17584`

Thus the car has moved 17584 cm in 100 revolutions