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A particle moves in a circular path of radius r with a constant angular speed ω.
A particle moves in a circular path of radius r with a constant angular speed ω. What is the time period of the motion?
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Practice Questions
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Q1
A particle moves in a circular path of radius r with a constant angular speed ω. What is the time period of the motion?
T = 2πr/ω
T = ω/2πr
T = 2π/ω
T = r/ω
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The time period T = 2π/ω for uniform circular motion.
Questions & Step-by-step Solutions
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Q
Q: A particle moves in a circular path of radius r with a constant angular speed ω. What is the time period of the motion?
Solution:
The time period T = 2π/ω for uniform circular motion.
Steps: 5
Show Steps
Step 1: Understand that the particle is moving in a circle with a constant speed.
Step 2: Know that the angular speed (ω) tells us how fast the particle is moving around the circle.
Step 3: Remember that the time period (T) is the time it takes for the particle to make one complete circle.
Step 4: Use the formula for the time period in uniform circular motion, which is T = 2π/ω.
Step 5: Recognize that 2π represents the full circle (360 degrees) and ω is the angular speed.
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