- 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?

Respuesta :

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 = [tex]2 \pi r[/tex]

The Distance travelled in 1 revolution =[tex]2 (\pi) (50)[/tex] = [tex]100 \pi[/tex] =  314.15 feet

Speed  =[tex]\frac{distance}{time}[/tex] = [tex]\frac{314.15}{2}[/tex] = 157.0 feet/minute

In 2 minutes the wheel will travel =   314.15 feet

So in one minutes the wheel travel =[tex]\frac{314.15}{2}[/tex]

In one minutes the wheel travel =  157.0 feet

In 5 minutes, the wheel will travel = [tex]157.0 \times 5[/tex] =   785.39 feet/minute

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