Question

A plane is traveling in a circle at a constant speed of 100 m/s. How long (in seconds) does it take the plane to fly once around the circle if its radius is 2000 m.

Answer 1

To determine the time it takes for an airplane to complete one circular path, we calculate the circumference of the circle and divide it by the constant speed of the plane. The time is 40π seconds.

Step-by-step explanation:

The subject of this question pertains to the concept of circular motion in Physics, specifically calculating the time it takes for an airplane to complete one circle.

To find the time (t) it takes for the plane to fly once around the circle, we can use the formula for the circumference of a circle (C = 2πr), where r is the radius of the circle. Since the speed (v) of the plane is constant, we can find the time by dividing the circumference by the speed: t = C/v.

Given the radius (r) is 2000 meters, we have:

C = 2π(2000 m) = 4000π m

With a speed of 100 m/s:

t = (4000π m) / (100 m/s) = 40π s

Therefore, the time it takes for the plane to complete one circle is 40π seconds.