a circular track is made on which an athlete has to cover three rounds to complete a 1000m run.during the run find the distance and magnitude of displacement of the athlete
distance= 3000m
displacement=0
The distance around a circular track us 2 km . If a runner complete 3 rounds. What is the magnetude of displacement.
To find the distance covered by the athlete, we need to calculate the circumference of the circular track.
The formula to calculate the circumference (C) of a circle is:
C = 2 * π * r
Given that the athlete covers three rounds, we can calculate the total distance (D) covered by the athlete using the formula:
D = C * 3
To find the magnitude of the displacement, we need to calculate the straight-line distance from the starting point to the final position of the athlete. Since the athlete completes three rounds, the starting and ending points will be the same.
Therefore, the magnitude of the displacement will be equal to 0.
In summary:
- Distance covered by the athlete = C * 3, where C is the circumference of the circular track.
- Magnitude of displacement = 0.
To find the distance covered by the athlete, we can simply multiply the length of the circular track by the number of rounds completed. We are given that the athlete completes three rounds on the track, and the length of the track is not given. Let's assume the length of the track is 'L' meters.
Therefore, the distance covered by the athlete = 3 rounds × Length of the track (L) = 3L meters.
However, to determine the magnitude of displacement, we need to consider the initial and final positions of the athlete. As the athlete starts and ends at the same point, the displacement will be zero.
Hence, the distance covered by the athlete is 3L meters, and the magnitude of displacement is zero.