A cyclist goes around a circular track once every 4 minute if the radius of the circular track is 200 meters . calculate his speed
Answers
Answer:
A cyclist goes around a circular track once every 4 minutes and radius of the circular track is 210 m.
Firstly convert minutes into seconds.
1 min = 60 sec
4 min = 240 sec
Distance is defined as the total path covered by the body. Whereas displacement is defined as the shortest path covered by the body between initial and final points.
Assume that the cyclist starts from point A to point B, here the he covers the half of the revolution. If it returns back to point A again then it completes the one complete revolution.
Distance covered by the cyclist=
Circumference of circle = 2mr
Substitute the known values,
→ 2 × 22/7 x 210
→ 1320 m
Therefore, the distance covered by the cyclist
is 1320 m.
Also,
Time Distance/Speed
Substitute the known values in the above formula,
→ 240 1320/Speed
Speed = 1320/240
Speed = 5.5
Therefore, the speed of the motorcyclist is 5.5 m/s.
