An athlete runs on a circular track 7m.calculate the distance and displacement covered by him after 3 rotations?
To calculate the distance covered by the athlete after 3 rotations, we need to find the circumference of the circular track and then multiply it by the number of rotations.
The formula to calculate the circumference of a circle is C = 2πr, where C is the circumference and r is the radius of the circle.
Given that the radius of the circular track is 7m, we can substitute this value into the formula:
C = 2π * 7 = 14π
Now, to find the distance covered after 3 rotations, we need to multiply the circumference by the number of rotations:
Distance = 3 * 14π = 42π meters
Therefore, the distance covered by the athlete after 3 rotations is 42π meters.
Now, let's calculate the displacement. Displacement refers to the shortest distance between the initial and final positions. In this case, since the athlete returns to the starting point after each rotation, the displacement is zero.
Therefore, the displacement covered by the athlete after 3 rotations is 0 meters.
To calculate the distance covered by the athlete after 3 rotations on a circular track, we need to determine the circumference of the track first. The circumference of a circle can be calculated using the formula:
Circumference = 2πr
where r is the radius of the circle. In this case, the radius is 7m.
Circumference = 2π * 7 = 14π ≈ 43.98m
So, the distance covered by the athlete after one rotation is approximately 43.98m.
To find the distance covered after 3 rotations, we multiply the distance of one rotation by 3:
Distance covered = 43.98m/rotation * 3 rotations = 131.94m
Therefore, the athlete covers a distance of approximately 131.94m after 3 rotations.
Now let's calculate the displacement. Displacement refers to the change in position or the straight line distance from the initial position to the final position.
Since the athlete completes 3 full rotations, the starting and ending points will be the same, which means the displacement will be zero.
Therefore, the displacement covered by the athlete after 3 rotations is 0m.