A particle moves in a circular path with a radius of 10 m at a constant speed of 5 m/s. What is the period of the motion?
Correct Answer: 4π seconds
- Step 1: Identify the radius of the circular path, which is given as 10 m.
- 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(10 m) = 20π m.
- Step 4: Identify the constant speed of the particle, which is given as 5 m/s.
- Step 5: Use the formula for time, which is Time = Distance / Speed.
- Step 6: Substitute the values into the formula: Time = (20π m) / (5 m/s).
- Step 7: Simplify the equation: Time = 4π s.
- Circular Motion – Understanding the relationship between radius, speed, and period in uniform circular motion.
- Circumference Calculation – Calculating the circumference of a circle using the formula 2πr.
- Speed and Time Relationship – Using the formula time = distance/speed to find the period of motion.
