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