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?
mv
mvr
mr^2
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.
