How long does it take a plane, traveling at a constant speed of 166 m/s, to fly once around a circle whose radius is 4000 m?
t=2πR/v
To find the time it takes for the plane to fly once around the circle, we can use the formula:
Time = Distance / Speed
First, we need to calculate the distance the plane needs to travel around the circle. The distance around a circle is given by the formula:
Distance = 2 * π * radius
Given that the radius is 4000 m, we can substitute this value into the formula:
Distance = 2 * π * 4000 m
Next, we can calculate the distance:
Distance = 2 * 3.14 * 4000 m
Distance = 25120 m
Now that we have the distance, we can substitute it into the formula for time:
Time = Distance / Speed
Time = 25120 m / 166 m/s
To find the value of the time, we need to perform the division:
Time ≈ 151.51 seconds
Therefore, it will take approximately 151.51 seconds for the plane to fly once around the circle of radius 4000 m at a constant speed of 166 m/s.