If a cyclist completes 4 rounds in 16 minutes around a circular track with uniform speed of 6.28 m/s, then the radius of that track is
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Given : a cyclist completes 4 rounds in 16 minutes around a circular track with uniform speed of 6.28 m/s,
To Find : the radius of that track
A)120m
B)180m
C)210 m
D)240m
Solution:
Distance covered in one round = circumference = 2π(radius)
π = 3.14 , radius = r m
Hence Distance covered in one round = 6.28r m
Distance covered in 4 rounds = 4 * 6.28r m
Speed = 6.28 m/s
Time = 16 mins = 16 * 60 = 960 sec
Distance = Speed * Time
=> 4 * 6.28r = 6.28 * 960
=> 4r = 960
=> r = 240 m
radius of that track is 240 m
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