A cyclist is moving around a circular track of radius 100 m. If he completes one

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Question: A cyclist is moving around a circular track of radius 100 m. If he completes one lap in 40 seconds, what is his average speed?

Options:

Correct Answer: 10 m/s

Solution:

Circumference = 2πr = 2π(100 m). Average speed = distance/time = (2π(100 m))/40 s ≈ 15.7 m/s.

A cyclist is moving around a circular track of radius 100 m. If he completes one lap in 40 seconds, what is his average speed?

A cyclist is moving around a circular track of radius 100 m. If he completes one lap in 40 seconds, what is his average speed?

Correct Answer: 15.7 m/s

Step 1: Identify the radius of the circular track, which is given as 100 meters.
Step 2: Use the formula for the circumference of a circle, which is Circumference = 2πr.
Step 3: Substitute the radius into the formula: Circumference = 2π(100 m).
Step 4: Calculate the circumference: Circumference = 200π m (approximately 628.32 m).
Step 5: Note that the cyclist completes one lap around the track, which means he travels the circumference distance.
Step 6: Identify the time taken to complete one lap, which is given as 40 seconds.
Step 7: Use the formula for average speed, which is Average Speed = Distance / Time.
Step 8: Substitute the values into the formula: Average Speed = (200π m) / (40 s).
Step 9: Simplify the calculation: Average Speed = 5π m/s (approximately 15.7 m/s).

Circular Motion – Understanding the relationship between distance traveled in a circular path and the time taken to complete that distance.
Average Speed Calculation – Calculating average speed using the formula: average speed = total distance / total time.
Circumference of a Circle – Using the formula for the circumference of a circle (C = 2πr) to determine the distance traveled in one complete lap.