An athlete complete one round of a circular track of Diameter200 m in 40s what will be the distance covered and the displacement at the end of 20min20sec
Answers
Distance covered by athlete in 20 min 20 seconds is 19.1662 km.
Explanation:
First of all, Let's see what is difference between Distance and Displacement.
Distance is the total distance covered by an object from initial point to final point. While displacement is the minimum distance between two different points.
So in this question, The athlete is in circular position. And hence, The athlete do displacement. Because, The initial and final point is constant.
As we know that,
Distance covered in one round = Circumference of ground
Circumference of circle = 2πr
Given that,
Diameter = 200 m
∴ Radius = 200/2 = 100 m.
Circumference of ground = 2 × 22/7 × 100
= 628.57 m.
Therefore, Distance covered in one round of 40 seconds is 628.57 meters.
Distance covered in 1 second = 628.57 / 40
= 15.71 meters.
According to question, We have to find the distance covered and displacement at the end of 20 min 20 sec.
20 min 20 seconds = 1220 seconds
Distance covered in 1220 seconds = 15.71 × 1220
= 19166.2 m.
In kilometers, 19166.2/1000 = 19.1662 km.
Hence, Distance covered by athlete in 20 min 20 seconds is 19.1662 km.
Answer:
Distance = 19,154 metres
Displacement = 628 metres
Explanation:
Given:
Diameter of the track = 200m
Time taken to complete one round = 40 seconds
To find:
Distance and the Displacement at the end of 20 minutes 20 seconds
Radius of the track = diameter of the track/2
Radius of the track = 200/2
Radius of the track = 100m
Circumference of the track = 2×pi×r
20 minutes 20 seconds = 1220 seconds
No. Of rounds completed = 1220/40
No.of rounds completed = 30.5 rounds
Distance = 628×30.5
Distance = 19,154 metres
Displacement will be equal to diameter as he completed 30.5 rounds
Displacement will be 628
Displacement = 628 metres
The distance is 19,154 metres
The Displacement is 628 metres