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A particle is moving in a circle of radius r with a constant speed v. What is th
A particle is moving in a circle of radius r with a constant speed v. What is the angular velocity? (2022)
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Q1
A particle is moving in a circle of radius r with a constant speed v. What is the angular velocity? (2022)
v/r
r/v
vr
v²/r
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Angular velocity ω = v/r.
Questions & Step-by-step Solutions
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Q
Q: A particle is moving in a circle of radius r with a constant speed v. What is the angular velocity? (2022)
Solution:
Angular velocity ω = v/r.
Steps: 5
Show Steps
Step 1: Understand that angular velocity (ω) measures how fast something is rotating around a circle.
Step 2: Know that the speed (v) of the particle is how fast it is moving along the circular path.
Step 3: Recognize that the radius (r) is the distance from the center of the circle to the particle.
Step 4: Use the formula for angular velocity, which is ω = v/r.
Step 5: Plug in the values of speed (v) and radius (r) into the formula to find the angular velocity.
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