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A cyclist moving on a circular track of radius 100m completes one revolution in 2 mins . What is the avg. speed of cyclist?
(A)314m/min
(B) 200m/min
(C)300m/min
(D)900m/min?
(A)314m/min
(B) 200m/min
(C)300m/min
(D)900m/min?
Verified Answer
A cyclist moving on a circular track of radius 100m completes one revo...
Distance covered in one complete revolution
= 2πr
= 2 x 100 x 22 / 7
≈ 628m
Average speed = 628/2 = 314m/min
= 2πr
= 2 x 100 x 22 / 7
≈ 628m
Average speed = 628/2 = 314m/min
This question is part of UPSC exam. View all CAT courses
Most Upvoted Answer
A cyclist moving on a circular track of radius 100m completes one revo...
Given information:
- Radius of the circular track = 100m
- Time taken to complete one revolution = 2 minutes
Formula:
The average speed of an object can be calculated using the formula:
Average Speed = Total Distance / Total Time
Calculation:
- Distance covered in one revolution = Circumference of the circle
- Circumference of a circle = 2πr, where r is the radius
- Circumference of the circular track = 2π(100m) = 200π m
- Total Time taken to complete one revolution = 2 minutes
- Average Speed = Total Distance / Total Time
- Average Speed = (200π m) / (2 minutes)
Conversion:
To convert the speed from meters per minute to meters per second, we need to divide the value by 60.
- Average Speed = (200π m) / (2 minutes) * (1 minute / 60 seconds)
- Average Speed = (200π m) / (2 * 60 seconds)
- Average Speed = (200π m) / (120 seconds)
Simplification:
- Average Speed = (100π m) / (60 seconds)
- Average Speed = (5π / 3) m/s
Approximation:
Since the value of π is approximately 3.14, we can approximate the average speed as follows:
- Average Speed ≈ (5 * 3.14 / 3) m/s
- Average Speed ≈ 5.24 m/s
Conversion:
To convert the speed from meters per second to meters per minute, we need to multiply the value by 60.
- Average Speed ≈ 5.24 m/s * 60 seconds
- Average Speed ≈ 314.4 m/min
Answer:
The average speed of the cyclist is approximately 314 m/min. Therefore, the correct option is (A) 314 m/min.
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A cyclist moving on a circular track of radius 100m completes one revolution in 2 mins . What is the avg. speed of cyclist? (A)314m/min (B) 200m/min (C)300m/min (D)900m/min? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A cyclist moving on a circular track of radius 100m completes one revolution in 2 mins . What is the avg. speed of cyclist? (A)314m/min (B) 200m/min (C)300m/min (D)900m/min? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cyclist moving on a circular track of radius 100m completes one revolution in 2 mins . What is the avg. speed of cyclist? (A)314m/min (B) 200m/min (C)300m/min (D)900m/min?.
A cyclist moving on a circular track of radius 100m completes one revolution in 2 mins . What is the avg. speed of cyclist? (A)314m/min (B) 200m/min (C)300m/min (D)900m/min? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A cyclist moving on a circular track of radius 100m completes one revolution in 2 mins . What is the avg. speed of cyclist? (A)314m/min (B) 200m/min (C)300m/min (D)900m/min? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cyclist moving on a circular track of radius 100m completes one revolution in 2 mins . What is the avg. speed of cyclist? (A)314m/min (B) 200m/min (C)300m/min (D)900m/min?.
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