Question

- A merry-go-round with diameter of 50 feet travels 1 revolution

every 2 minutes. What is its speed and how far will
you travel in 5 minutes?

Answer 1

Given:

Diameter of the wheel = 50 feet

Time taken for one revolution = 2 minutes

To Find:

speed and how far will you travel in 5 minutes

Solution:

The distance travelled in 1 revolution = circumference of the circle

The distance travelled in 1 revolution =
`2 \pi r`

The Distance travelled in 1 revolution =
`2 (\pi) (50)` =
`100 \pi` = 314.15 feet

Speed =
`(distance)/(time)` =
`(314.15)/(2)` = 157.0 feet/minute

In 2 minutes the wheel will travel = 314.15 feet

So in one minutes the wheel travel =
`(314.15)/(2)`

In one minutes the wheel travel = 157.0 feet

In 5 minutes, the wheel will travel =
`157.0 * 5` = 785.39 feet/minute