Average Velocity and Speed in Circular Motion – Rankers Physics
Topic: Kinematics
Subtopic: Calculus Based Questions

Average Velocity and Speed in Circular Motion

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:

(2006)

0, 0
0, 10 m/s
10 m/s, 20 m/s
20 m/s, 0

Solution:

Concept: Average velocity is total displacement over total time. For a complete circular lap, displacement is zero, so average velocity is \( 0 \). Average speed is total distance over total time. Total distance is circumference \( 2\pi R = 2 \times 3.14 \times 100 = 628 \text{ m} \). Total time is \( 62.8 \text{ s} \). Average speed \( = 628/62.8 = 10 \text{ m/s} \).

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