An athlete completes one round of a circular track of diameter 50 m in 30 s. find distance travelled and displacement of the athlete at the end of 30 s.
Answers
Answer:
ANSWER
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.
Explanation:
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Answer:
Distance = 157 m
Displacement = 0 m
Explanation:
Given:
- Diameter of the circular track = 50 metres
- Time taken to cover one round of the circular track = 30 seconds
To find:
- Distance at end of 30 seconds
- Displacement at end of 30 seconds
Distance:
As 1 round takes 30 seconds and we have to find distanec at the end of 1 seconds, the circumference of the circle is equal to distance
Circumference of circle =
Radius =
Radius = 25 m
Circumference =
Circumference =
Circumference = 157 metres
The distance travelled by the athlete at the end of 30 seconds is 157 metres
Displacement:
At the end of 30 seconds the athlete will reach back to the initial position, so the displacement will be equal to 0