Angular Momentum: Equations for Angular Velocity & Point Mass

In summary, Angular momentum is a measure of the rotational motion of an object and is defined as the product of the moment of inertia and the angular velocity of an object. The equations for angular velocity are ω = Δθ/Δt and ω = 2πf. Angular momentum is conserved in a closed system and is calculated using the equation L = Iω for a point mass. It is directly related to rotational motion, with objects possessing higher angular momentum rotating at a faster rate and vice versa.
  • #1
mogley76
19
0

Homework Statement



give equations for angular momentum in terms of :
1. angular velocity
2. a point mass moving along the circumfrence of a circle with a tangential (linear) speed v.

Homework Equations



none

The Attempt at a Solution



1. is L= I w...angular vel = moment of inertia X angular velocity

2. I = mr^2im not too sure about the second one? can someone help??
 
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  • #2
The second one is moment of inertia, not angular momentum. For the second one, just go back to the definition of angular momentum.
 

1. What is angular momentum?

Angular momentum is a measure of the rotational motion of an object. It is defined as the product of the moment of inertia and the angular velocity of an object.

2. What are the equations for angular velocity?

The equation for angular velocity is ω = Δθ/Δt, where ω represents angular velocity, Δθ represents change in angle, and Δt represents change in time. Another equation for angular velocity is ω = 2πf, where f represents frequency.

3. How is angular momentum conserved?

Angular momentum is conserved in a closed system, meaning that the total angular momentum of the system remains constant. This means that as one object gains angular momentum, another object in the system must lose an equal amount of angular momentum.

4. How is angular momentum calculated for a point mass?

The equation for calculating angular momentum for a point mass is L = Iω, where L represents angular momentum, I represents moment of inertia, and ω represents angular velocity.

5. How is angular momentum related to rotational motion?

Angular momentum is directly related to rotational motion, as it measures the amount of rotational motion an object possesses. An object with a higher angular momentum will have a greater tendency to continue rotating, while an object with a lower angular momentum will rotate at a slower rate.

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