An object is moving in a circular path with a radius of 10 m at a speed of 5 m/s

An object is moving in a circular path with a radius of 10 m at a speed of 5 m/s. What is the period of the motion?

An object is moving in a circular path with a radius of 10 m at a speed of 5 m/s. What is the period of the motion?

Step 1: Identify the radius of the circular path. In this case, the radius (r) is 10 meters.
Step 2: Identify the speed of the object. Here, the speed (v) is 5 meters per second.
Step 3: Use the formula for the period (T) of circular motion, which is T = 2πr/v.
Step 4: Substitute the values into the formula: T = 2π(10)/5.
Step 5: Calculate the numerator: 2π(10) = 20π.
Step 6: Divide the result by the speed: 20π/5 = 4π.
Step 7: The period of the motion is 4π seconds.

Circular Motion – The motion of an object in a circular path, where the period is the time taken to complete one full revolution.
Period of Motion – The time it takes for one complete cycle of motion, calculated using the formula T = 2πr/v.