Class 9 Exam > Class 9 Questions > An athlete completes one round of a circular ...
Start Learning for Free
An athlete completes one round of a circular track of diameter 200m in 40 seconds what will be the distance covered and the displacement at the end of 2 min ans 20 secs?
Most Upvoted Answer
An athlete completes one round of a circular track of diameter 200m in...
**Distance Covered:**
To find the distance covered by the athlete, we need to calculate the circumference of the circular track.
- The diameter of the track is given as 200m.
- The formula to calculate the circumference of a circle is C = 2πr, where C is the circumference and r is the radius.
- Since the diameter is given, we can calculate the radius by dividing it by 2. Therefore, the radius is 100m.
- Now, we can calculate the circumference using the formula: C = 2π(100) = 200π meters.
The athlete completes one round of the track in 40 seconds. Let's calculate the distance covered by the athlete in 2 minutes and 20 seconds.
- 2 minutes is equal to 120 seconds.
- 20 seconds is added to that, making a total of 140 seconds.
- To find the number of rounds completed in 140 seconds, we divide 140 by 40 (the time taken for one round).
- 140 / 40 = 3.5 rounds completed.
Since the athlete completes 3.5 rounds, we can calculate the total distance covered by multiplying the circumference by the number of rounds.
- Distance covered = 3.5 x 200π = 700π meters.
Therefore, the distance covered by the athlete in 2 minutes and 20 seconds is 700π meters.
**Displacement:**
The displacement of an object is the straight-line distance between its initial and final positions, regardless of the path taken.
In this case, since the athlete starts and ends at the same point (completes one round), the displacement will be zero. This is because the athlete returns to the same position, resulting in no net change in the position.
Therefore, the displacement at the end of 2 minutes and 20 seconds is zero.
To find the distance covered by the athlete, we need to calculate the circumference of the circular track.
- The diameter of the track is given as 200m.
- The formula to calculate the circumference of a circle is C = 2πr, where C is the circumference and r is the radius.
- Since the diameter is given, we can calculate the radius by dividing it by 2. Therefore, the radius is 100m.
- Now, we can calculate the circumference using the formula: C = 2π(100) = 200π meters.
The athlete completes one round of the track in 40 seconds. Let's calculate the distance covered by the athlete in 2 minutes and 20 seconds.
- 2 minutes is equal to 120 seconds.
- 20 seconds is added to that, making a total of 140 seconds.
- To find the number of rounds completed in 140 seconds, we divide 140 by 40 (the time taken for one round).
- 140 / 40 = 3.5 rounds completed.
Since the athlete completes 3.5 rounds, we can calculate the total distance covered by multiplying the circumference by the number of rounds.
- Distance covered = 3.5 x 200π = 700π meters.
Therefore, the distance covered by the athlete in 2 minutes and 20 seconds is 700π meters.
**Displacement:**
The displacement of an object is the straight-line distance between its initial and final positions, regardless of the path taken.
In this case, since the athlete starts and ends at the same point (completes one round), the displacement will be zero. This is because the athlete returns to the same position, resulting in no net change in the position.
Therefore, the displacement at the end of 2 minutes and 20 seconds is zero.
Community Answer
An athlete completes one round of a circular track of diameter 200m in...
Diameter =200m
r = 100m
time for one round of the track = 40 second in two minutes 20 second =140 the athlete will complete 140 /40 is equal to 3.5 rounds of the track.
distance covered in one round is equal to circumference
= 2πr
distance covered in 3.5 rounds 2*22/7*100*3.5
=2200m
displacement after 3.5 rounds the athlete will be in the diametrically opposite position.
displacement = diameter of the track
= 200m
distance covered = 2200m
displacement = 200m
r = 100m
time for one round of the track = 40 second in two minutes 20 second =140 the athlete will complete 140 /40 is equal to 3.5 rounds of the track.
distance covered in one round is equal to circumference
= 2πr
distance covered in 3.5 rounds 2*22/7*100*3.5
=2200m
displacement after 3.5 rounds the athlete will be in the diametrically opposite position.
displacement = diameter of the track
= 200m
distance covered = 2200m
displacement = 200m
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
|
Explore Courses for Class 9 exam
|
|
Similar Class 9 Doubts
Top Courses for Class 9View all
An athlete completes one round of a circular track of diameter 200m in 40 seconds what will be the distance covered and the displacement at the end of 2 min ans 20 secs?
Question Description
An athlete completes one round of a circular track of diameter 200m in 40 seconds what will be the distance covered and the displacement at the end of 2 min ans 20 secs? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about An athlete completes one round of a circular track of diameter 200m in 40 seconds what will be the distance covered and the displacement at the end of 2 min ans 20 secs? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An athlete completes one round of a circular track of diameter 200m in 40 seconds what will be the distance covered and the displacement at the end of 2 min ans 20 secs?.
An athlete completes one round of a circular track of diameter 200m in 40 seconds what will be the distance covered and the displacement at the end of 2 min ans 20 secs? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about An athlete completes one round of a circular track of diameter 200m in 40 seconds what will be the distance covered and the displacement at the end of 2 min ans 20 secs? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An athlete completes one round of a circular track of diameter 200m in 40 seconds what will be the distance covered and the displacement at the end of 2 min ans 20 secs?.
Solutions for An athlete completes one round of a circular track of diameter 200m in 40 seconds what will be the distance covered and the displacement at the end of 2 min ans 20 secs? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of An athlete completes one round of a circular track of diameter 200m in 40 seconds what will be the distance covered and the displacement at the end of 2 min ans 20 secs? defined & explained in the simplest way possible. Besides giving the explanation of
An athlete completes one round of a circular track of diameter 200m in 40 seconds what will be the distance covered and the displacement at the end of 2 min ans 20 secs?, a detailed solution for An athlete completes one round of a circular track of diameter 200m in 40 seconds what will be the distance covered and the displacement at the end of 2 min ans 20 secs? has been provided alongside types of An athlete completes one round of a circular track of diameter 200m in 40 seconds what will be the distance covered and the displacement at the end of 2 min ans 20 secs? theory, EduRev gives you an
ample number of questions to practice An athlete completes one round of a circular track of diameter 200m in 40 seconds what will be the distance covered and the displacement at the end of 2 min ans 20 secs? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup