A particle moves in a circular path of radius 10 m with a speed of 5 m/s. What i

A particle moves in a circular path of radius 10 m with a speed of 5 m/s. What is the period of the motion?

A particle moves in a circular path of radius 10 m with a speed of 5 m/s. What is the period of the motion?

Step 1: Understand the problem. We have a particle moving in a circle with a radius of 10 meters and a speed of 5 meters per second.
Step 2: Recall the formula for the period (T) of circular motion: T = (2πr) / v, where r is the radius and v is the speed.
Step 3: Plug in the values into the formula. Here, r = 10 m and v = 5 m/s.
Step 4: Calculate the circumference of the circle using the formula 2πr. So, 2π * 10 = 20π meters.
Step 5: Now, divide the circumference by the speed to find the period: T = (20π) / 5.
Step 6: Simplify the calculation: 20π / 5 = 4π seconds.
Step 7: Conclude that the period of the motion is 4π seconds.

Circular Motion – The motion of a particle in a circular path, where the period is calculated using the radius and speed.
Period of Motion – The time taken to complete one full revolution in circular motion, calculated as T = (2πr)/v.