Question

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

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

$c = 3.14 \times 56 = 175.84$

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

$\rightarrow 100 \times 175.84 = 17584$

Thus the car has moved 17584 cm in 100 revolutions