contestada

A ball with a radius of 6 in is spinning on the table. If the ball spins around 340 revolutions per minute, about how far in inches would the golf ball travel in 20 seconds

Respuesta :

Answer:

the golf ball travels 4,295.52 inches in 20 seconds

Step-by-step explanation:

the ball spins around 340 revolutions per minute

340 revolutions per 60 seconds

60 seconds = 340 revolutions

1 seconds = [tex]\frac{340}{60} = 5.667[/tex]

so its around 5.7 revolutions in 1 second

1 second = 5.7 revolutions

 20 seconds = 5.7 * 20 = 114 revolutions

In 20 second ball spins 114 revolutions

To find distance traveled in 1 revolution we find the circumference of circle

circumference of circle = 2* 3.14 * r

r is the radius = 6 in

circumference of circle = 2* 3.14 * 6= 37.68 inches

In 1 revolution ball travels 37.68 inches

In 114 revolution ball travels 37.68 * 114 = 4295.52 inches

the golf ball travels 4,295.52 inches in 20 seconds