A particle moves in a circular path with a radius of 10 m and completes one revolution in 5 seconds. What is the linear speed of the particle?

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Q: A particle moves in a circular path with a radius of 10 m and completes one revolution in 5 seconds. What is the linear speed of the particle?

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

Steps: 8

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 = 2 * π * radius.
Step 3: Substitute the radius into the formula: Circumference = 2 * π * 10 m.
Step 4: Calculate the circumference: Circumference = 20π meters.
Step 5: Identify the time taken for one complete 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 m) / (5 s).
Step 8: Simplify the equation: v = 4π m/s.