An athlete completes one round of a circular track of diameter 200m in 40 s. what will the distance covered and the displacement at the end of 2 m 20 s.
Answers
Answer:
Explanation:
Diameter = 200m
Radius = 100m
Time of one rotation = 40s
Time after 2m 20 s = 140 s
Displacement after 2 m 20 s i.e. in 140 s
Since,rotatin in 40 s = 1
Therefore, rotation in 1 s = 1/ 40
∴ rotation in 140 s = 1/ 40 × 140
= 3.5
Distance covered in 2 m 20 s = circumference of circle × no of rotations
= 2πr × 3.5
= 2 × 3.14×100×3.5
= 2198m
Therefore, in 3.5 rotations athlete will be just at the opposite side of the circular track, i.e. at a distance equal to the diameter of the circular track which is equal to 200 m.
hence, displacement after 2 m 20 s = 200m
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length AB=200m=2R
time taken to complete one round=40 sec
let the starting point be A
in 140 sec or 2 min 20 sec number of rounds completed=14040=3.5
distance traveled=3.5 * (2*π*R)=3.5*2*π*100 m=2200 m (approx)
displacement refers to change in position from the starting point.the final point is B
as after 3.5 revolutions(starting from A) the athlete will be at B.
displacement=200m