How long does it take a plane, traveling at a constant speed of 160 m/s, to fly once around a circle whose radius is 3450 m?
time=2PI*r/velocity
To find the time it takes for a plane to fly once around a circle, you need to use the formula:
Time = Distance ÷ Speed
The distance the plane needs to cover is the circumference of the circle, which can be found using the formula:
Circumference = 2π × Radius
In this case, the radius of the circle is given as 3450 m. Substituting the value into the formula:
Circumference = 2π × 3450 m
To find the time it takes for the plane to fly around the circle, divide the circumference by the speed of the plane:
Time = (2π × 3450 m) ÷ 160 m/s
Now we can solve this equation.
First, calculate the circumference of the circle:
Circumference = 2π × 3450 m
Circumference ≈ 2π × 3450 m
Circumference ≈ 21690π m
Now, substitute the value of the circumference and the speed into the formula for time:
Time = (21690π m) ÷ (160 m/s)
Now, divide the value of the circumference by the speed:
Time ≈ 135.5625π s
Therefore, it takes approximately 135.5625π seconds to fly once around a circle with a radius of 3450 m, when traveling at a constant speed of 160 m/s.