an athlete complete one round of a circular track of diameter 200m in 20s . calculate. (1)distance travelled by the athlete
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Answer: Distance covered in 140 sec = 15.71 × 140 = 2199.4 m
Explanation: Displacement is the shortest distance possible between initial and final position.
As the athlete is in circular motion , displacement is zero. [ THis is because , the initial and final position is the same ]
Distance covered in 1 round = Circumference of the circle
Circumference of the circle = 2πr
Diameter = 200 m
Radius = 100 m
Distance covered in 1 round[ 40 sec ] = 2 × 22/7 × 100 = 628.57 m
Distance covered in 1 sec = 628.57 ÷ 40 = 15.71 m
2min 20 sec = 140 sec
Distance covered in 140 sec = 15.71 × 140 = 2199.4 m
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