A cyclist is moving in a circular track of radius 30 m. If the cyclist completes

A cyclist is moving in a circular track of radius 30 m. If the cyclist completes one round in 12 seconds, what is the average speed of the cyclist?

A cyclist is moving in a circular track of radius 30 m. If the cyclist completes one round in 12 seconds, what is the average speed of the cyclist?

Step 1: Identify the radius of the circular track, which is given as 30 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(30 m).
Step 4: Calculate the circumference: Circumference = 60π meters (approximately 188.4 meters).
Step 5: Note the time taken to complete one round, which is given as 12 seconds.
Step 6: Use the formula for average speed, which is Average Speed = Distance / Time.
Step 7: Substitute the values into the formula: Average Speed = (60π m) / (12 s).
Step 8: 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 round.