Question

Aliaa is skating down a ramp. The wheels on her skateboard have diameters of 60 \text{ mm}60 mm60, start a text, space, m, m, end text.

What is the distance Aliaa travels when her skateboard wheels make 202020 revolutions

Answer 1

The distance Aliaa travels when her skate board wheels make 20 revolutions is, 3768 mm

Answer 2

The distance Aliaa travels when her skate board wheels make 20 revolutions is 3,768 mm.

Explanation:

Given : Aliaa is skating down a ramp. The wheels on her skateboard have diameters of 60 mm.

To find : What is the distance Aliaa travels when her skateboard wheels make 20 revolutions?

Solution :

Diameter of wheel d= 60 mm

The distance around the circle is the circumference.

The number of revolutions(n) completed by rotating a wheel is given by,

`n= \frac{\text{Distance covered}}{\text{Circumference of wheel}}`

`\text{Circumference of wheel}=\pi d=60\pi`

Number of revolutions n=20.

Substitute in the formula,

`20=\frac{\text{Distance covered}}{60\pi}`

`\text{Distance covered}=20* 60\pi`

`\text{Distance covered}=20 \cdot 60 \cdot 3.14`

`\text{Distance covered}=3768`

Therefore, the distance Aliaa travels when her skate board wheels make 20 revolutions is 3,768 mm.