How long does it take a plane, traveling at a speed of 170 m/s, to fly once around a circle whose radius is 2900 m?
(distance it flies)/speed
= (2 pi R)/V
= ?
Thank you drwls!
To find the time it takes for a plane to fly once around a circle, we need to calculate the circumference of the circle and then divide it by the plane's speed.
Step 1: Calculate the circumference of the circle.
The circumference of a circle can be found using the formula C = 2πr, where C is the circumference and r is the radius.
C = 2π(2900 m)
C ≈ 2π(2900)
C ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900)
C ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900)
C ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900)
C ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900)
C ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900)
C ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900)
C ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900)
C ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900)
C ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900)
C ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900) ≈ 2π(2900)
C ≈ 18,188.79 m (rounded to two decimal places)
Step 2: Calculate the time it takes for the plane to fly once around the circle.
We can use the formula t = d/v, where t is the time, d is the distance, and v is the speed.
t = (18,188.79 m) / (170 m/s)
t ≈ 107.02 seconds (rounded to two decimal places)
Therefore, it takes approximately 107.02 seconds for the plane to fly once around a circle with a radius of 2900 m at a speed of 170 m/s.
To find the time it takes for the plane to fly once around the circle, we need to divide the circumference of the circle by the speed of the plane.
The formula for the circumference of a circle is given by:
C = 2πr
where C is the circumference and r is the radius of the circle.
Plugging in the given radius value of 2900 m into the formula, we get:
C = 2π(2900)
C ≈ 2π(2900)
C ≈ 2π(2900)
C ≈ 2 * 3.14 * 2900
C ≈ 18236 m
Now, let's calculate the time it takes for the plane to travel this distance. We divide the circumference by the speed of the plane:
Time = Distance / Speed
Plugging in the values, we have:
Time = 18236 m / 170 m/s
Time ≈ 107.27 seconds
Therefore, it would take approximately 107.27 seconds for the plane, traveling at a speed of 170 m/s, to fly once around a circle with a radius of 2900 m.