Question

How long does it take a plane, traveling at a speed of 110 m/s, to fly once around a circle whose radius is 2850 m?

Answer 1

V=110, s= 2×π×r (circumference of a circle)
t=s/v=110/2×π×2850

Answer 2

It takes to the plane
`162.792` seconds to fly once around a circle whose radius is 2850 m at a speed of
`(110)(m)/(s)`

Explanation:

The first step in this exercise is to find the total distance that the plane will fly.

This distance is equal to the perimeter of a circle whose radius is 2850 m.

Given a circle of radius R, the perimeter ''P'' can be calculated as :

`P=\pi .d=\pi  .2.R`

Where ''d'' is the diameter of the circle that is equal to 2.R

The distance that the plane will fly in the exercise is :

`P=\pi .2.R=\pi .2.(2850m)=17907.078m`

Now, the speed is equal to distance divided by time.

`speed=(distance)/(time)`

We have the speed of the plane and the distance (that is the perimeter ''P'' of the circle). We only need to replace this values in the equation and find the time variable.

`(110)(m)/(s)=((17907.078)m)/(t)`

`t=((17907.078)m)/((110)(m)/(s))=(162.792)s`

`t=(162.792)s`

We find that the time is
`162.792` seconds.