Question

The carousel at a local theme park has a diameter of 32 feet. each ride last three minutes and the speed of the carousel is 4.3 revolutions per minute. what is the maximum distance riders travel in one full ride? round to the nearest hundredth.

Answer 1

Answer:

1297.37 feet.

Step-by-step explanation:

Given:

The carousel at a local theme park has a diameter of 32 feet.

Each ride last three minutes and the speed of the carousel is 4.3 revolutions per minute.

Question asked:

What is the maximum distance riders travel in one full ride? Round to the nearest hundredth.

Solution:

First of all we will find the radius of the carousel:-

Diameter = 32 feet

Radius, r = $\frac{Diameter}{2} =\frac{32}{2} =16\ feet$

Now, we will find distance covered by the carousel in one ride that means its circumference;

$Circumference\ of \ the \ circle=2\pi r$

                                               $=2\times\frac{22}{7} \times16\\ \\ =\frac{704}{7} \\ \\ =100.571\ feet$

In 1 minute, number of revolution taken by carousel = 4.3

As each ride last for 3 minutes:-

In 3 minutes, number of revolution taken by carousel = 3 $\times$ 4.3 = 12.9

In 1 revolution, distance covered by carousel = 100.571 feet

In 12.9 revolution, distance covered by carousel = 100.571  $\times$ 12.9

                                                                                 = 1297.365 feet

Thus, the maximum distance riders travel in one full ride is 1297.37 feet.