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A particle of mass m is moving in a circular path of radius r with a constant sp

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Question: A particle of mass m is moving in a circular path of radius r with a constant speed v. What is the angular momentum of the particle about the center of the circle?

Options:

  1. mv
  2. mvr
  3. mr^2
  4. mv^2

Correct Answer: mvr

Solution: 

Angular momentum L = mvr, where v is the linear speed and r is the radius.

A particle of mass m is moving in a circular path of radius r with a constant sp

Practice Questions

Q1
A particle of mass m is moving in a circular path of radius r with a constant speed v. What is the angular momentum of the particle about the center of the circle?
  1. mv
  2. mvr
  3. mr^2
  4. mv^2

Questions & Step-by-Step Solutions

A particle of mass m is moving in a circular path of radius r with a constant speed v. What is the angular momentum of the particle about the center of the circle?
Correct Answer: mvr
  • Step 1: Understand that angular momentum is a measure of how much motion an object has around a point, in this case, the center of the circle.
  • Step 2: Identify the variables: mass (m), radius (r), and linear speed (v) of the particle.
  • Step 3: Recall the formula for angular momentum (L) in circular motion, which is L = mvr.
  • Step 4: Recognize that 'm' is the mass of the particle, 'v' is the constant speed, and 'r' is the radius of the circular path.
  • Step 5: Plug in the values of m, v, and r into the formula to calculate the angular momentum.
  • Angular Momentum – Angular momentum is a measure of the rotational motion of an object and is calculated as the product of the mass, linear velocity, and radius from the axis of rotation.
  • Circular Motion – In circular motion, an object moves along a circular path, and its angular momentum can be derived from its linear momentum and the radius of the circle.
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