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

Respuesta :

Answer:

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

Step-by-step 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,

[tex]n= \frac{\text{Distance covered}}{\text{Circumference of wheel}}[/tex]

[tex]\text{Circumference of wheel}=\pi d=60\pi[/tex]

Number of revolutions n=20.

Substitute in the formula,

[tex]20=\frac{\text{Distance covered}}{60\pi}[/tex]

[tex]\text{Distance covered}=20\times 60\pi[/tex]

[tex]\text{Distance covered}=20 \cdot 60 \cdot 3.14[/tex]

[tex]\text{Distance covered}=3768[/tex]

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

Answer:

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