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A cyclist moving on a circular track of radius 40m completes half a revolution in 40s. Its average velocity is
- a)zero
- b)4 πms−1
- c)2 ms−1
- d)8 πms−1
Correct answer is option 'C'. Can you explain this answer?
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B) 4 m/s
Average velocity is defined as the total displacement divided by the total time taken.
In half a revolution, the cyclist travels a distance equal to the circumference of the circle, which is 2πr = 2π(40) = 80π meters.
Since the average velocity is only concerned with the displacement, we can ignore the fact that the cyclist went around in a circle and just consider the distance he traveled.
Therefore, average velocity = displacement ÷ time taken = (80π meters) ÷ (40 seconds) ≈ 6.28 m/s
However, since the question is asking for the average velocity and not the average speed, we need to take into account the direction of motion.
The cyclist moves halfway around the circle in 40 seconds, which means he is moving in the opposite direction to his original position. Therefore, the average velocity is negative.
Hence, the answer is 4 m/s (approximate value since we rounded π to 3.14).
Average velocity is defined as the total displacement divided by the total time taken.
In half a revolution, the cyclist travels a distance equal to the circumference of the circle, which is 2πr = 2π(40) = 80π meters.
Since the average velocity is only concerned with the displacement, we can ignore the fact that the cyclist went around in a circle and just consider the distance he traveled.
Therefore, average velocity = displacement ÷ time taken = (80π meters) ÷ (40 seconds) ≈ 6.28 m/s
However, since the question is asking for the average velocity and not the average speed, we need to take into account the direction of motion.
The cyclist moves halfway around the circle in 40 seconds, which means he is moving in the opposite direction to his original position. Therefore, the average velocity is negative.
Hence, the answer is 4 m/s (approximate value since we rounded π to 3.14).
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A cyclist moving on a circular track of radius 40m completes half a revolution in 40s. Its average velocity isa)zerob)4 πms−1c)2 ms−1d)8 πms−1Correct answer is option 'C'. Can you explain this answer?
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