A body is moving in a circular path with a radius of 10 m and completes one revo

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Question: A body is moving in a circular path with a radius of 10 m and completes one revolution in 5 seconds. What is its linear speed?

Options:

Correct Answer: 2π m/s

Solution:

Linear speed (v) = Circumference / Time = (2π(10)) / 5 = 4π m/s.

A body is moving in a circular path with a radius of 10 m and completes one revolution in 5 seconds. What is its linear speed?

A body is moving in a circular path with a radius of 10 m and completes one revolution in 5 seconds. What is its linear speed?

Correct Answer: 4π m/s

Step 1: Identify the radius of the circular path, which is given as 10 meters.
Step 2: Calculate the circumference of the circle using the formula: Circumference = 2π * radius.
Step 3: Substitute the radius into the formula: Circumference = 2π * 10.
Step 4: Calculate the circumference: Circumference = 20π meters.
Step 5: Identify the time taken to complete one revolution, which is given as 5 seconds.
Step 6: Use the formula for linear speed: Linear speed (v) = Circumference / Time.
Step 7: Substitute the values into the formula: v = (20π) / 5.
Step 8: Simplify the equation: v = 4π meters per second.

Circular Motion – Understanding the relationship between linear speed, circumference, and time in circular motion.
Linear Speed Calculation – Calculating linear speed using the formula v = Circumference / Time.