an athlete completes one round of a circular tack of diameter 200m in 40s. what will be the distance covered and the displacement at the end of 2 min. 20sec.
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The diameter of the circular track is given as 200 m. That is, 2r=200 m.
From this radius is calculated as Radius, r = 100 m.
In 40 sec the athlete complete one round. So, in 2 mins and 20 secs, that is, 140 sec the athlete will complete = 140 / 40 = 3.5 (three and a half) rounds.
One round is considered as the circumference of the circular track.
The distance covered in 140 sec = 2πr×3.5=2×3.14×100×3.5=2200 m.
For each complete round the displacement is zero. Therefore for 3 complete rounds, the displacement will be zero.
At the end of his motion, the athlete will be in the diametrically opposite position. That is, displacement = diameter = 200 m.
Hence, the distance covered is 2200 m and the displacement is 200 m.
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Answer:
diameter of circular track=200m
radius of circular track,r=200/2=100m
distance covered in a round of track=2πr=2*3.14*100=628m
time taken=40s
time final=2min20sec=2*60+20=120+20=140s
distance covered in 1s=628/40=15.7m
distance covered in 140s=15.7*140=2198m
round completed=2198/628=3.5
therefore, displacement=200m
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