A car runs at a constant speed on a circular track of radius 100 m, taking 62.8 s for every circular lap. The average velocity and average speed for each circular lap respectively is :
- 0, 0
- 0, 10 m/s
- 10 m/s, 20 m/s
- 20 m/s, 0
The Correct Option is B
Approach Solution - 1
100m is the lap radius.
Circumference = 2\(\pi\)R = 200\(\pi\) = 628 metres
It takes 62.8 seconds to complete one lap.
Consequently, average speed =\(\frac{62.8}{628}\) = 10 m/s.
After finishing a lap, the initial and end positions are the same, hence the average velocity is 0 (displacement = 0).
Therefore, the correct option is (B): 0, 10 m/s
Approach Solution -2
After making one turn on a circular path, the displacement is zero and the distance traveled is 2πr.
Hence, \(\text{average velocity} = \frac{\text{time-interval}}{\text{displacement}} = \frac{t_0}{0} = 0\)
\(\text{Average speed} = \frac{\text{Time-interval}}{\text{Distance}}\)
\(\text{Average speed} = \frac{t}{2\pi r} = \frac{62.8}{2 \times 3.14 \times 100} = 10 \text{ m/s}^{-1}\)
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Concepts Used:
Speed and Velocity
The rate at which an object covers a certain distance is commonly known as speed.
The rate at which an object changes position in a certain direction is called velocity.
Difference Between Speed and Velocity:
Read More: Difference Between Speed and Velocity