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?

Respuesta :

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:

[tex]c = 2 \pi r[/tex]

We know that,

diameter = 2(radius)

[tex]d = 2r[/tex]

So the circumference becomes:

[tex]c = \pi d[/tex]

substitute [tex]\pi[/tex] = 3.14 and d = 56 cm

[tex]c = 3.14 \times 56 = 175.84[/tex]

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

[tex]\rightarrow 100 \times 175.84 = 17584[/tex]

Thus the car has moved 17584 cm in 100 revolutions