Wilbur Wrong is flying his remote-control plane inn a circle with the radius 28 meters. He is holding the wire so that it is level with the ground. His brother, Orville Wrong, clocks
the plane at 16 seconds per revolution. What is the speed of their plane? Express your
answer in meters per second.
C = pi*D = 3.14(2*28 = 175.8m = circumference.
V = d/t = 175.8m / 16s = 11m/s.
553m/sec
To find the speed of the plane, we need to determine the distance the plane covers in one revolution and then divide it by the time taken for that revolution.
Step 1: Find the circumference of the circle:
The circumference of a circle can be calculated using the formula C = 2πr, where r is the radius of the circle.
In this case, the radius is 28 meters. So, the circumference is:
C = 2 * π * 28 = 56π meters.
Step 2: Find the distance covered by the plane in one revolution:
Since the circumference of the circle is the distance covered by the plane in one revolution, the distance is 56π meters.
Step 3: Calculate the speed of the plane:
The speed of the plane can be found by dividing the distance covered in one revolution by the time taken for that revolution.
The time taken is given as 16 seconds per revolution.
So, the speed is:
Speed = Distance / Time
= (56π meters) / (16 seconds)
= 3.5π meters per second.
Therefore, the speed of their plane is approximately 3.5π meters per second.
To find the speed of the plane, we need to relate the given information to the formula for linear speed.
The formula for linear speed (v) is given by v = 2πr/t, where r is the radius and t is the time taken.
In this case, the radius (r) of the circle is given as 28 meters, and the time taken (t) for one revolution is given as 16 seconds.
Now, we can substitute these values into the formula to find the speed (v):
v = 2πr / t
= 2 * 3.14 * 28 / 16
≈ 6.28 * 28 / 16
≈ 10.99 meters per second
Therefore, the speed of the plane is approximately 10.99 meters per second.