Table of Contents
Does angular momentum depend on mass?
Angular momentum is proportional to the moment of inertia, which depends on not just the mass of a spinning object, but also on how that mass is distributed relative to the axis of rotation. When the arms are pulled in close to the body, the skater spins faster because of conservation of angular momentum.
What factors affect angular momentum?
Definition in classical mechanics angular momentum L is proportional to moment of inertia I and angular speed ω measured in radians per second. Unlike mass, which depends only on amount of matter, moment of inertia is also dependent on the position of the axis of rotation and the shape of the matter.
How does mass relate to angular velocity?
The simplest definition of angular momentum follows from considering an object with mass m that moves in a circle with radius r and with a tangential velocity v. Its angular momentum L is given by L = rmv. Angular velocity is just the angle the mass rotates in an interval of time.
Why does mass affect angular acceleration?
The greater the force, the greater the angular acceleration produced. The more massive the wheel, the smaller the angular acceleration. If you push on a spoke closer to the axle, the angular acceleration will be smaller.
What happens to angular momentum of mass doubles?
When mass is doubled, angular momentum doubles, so precession frequency decreases. B) If you increase radius, you increase angular momentum, and thus decrease the precession frequency.
How do you find angular momentum with mass?
Linear momentum (p) is defined as the mass (m) of an object multiplied by the velocity (v) of that object: p = m*v. With a bit of a simplification, angular momentum (L) is defined as the distance of the object from a rotation axis multiplied by the linear momentum: L = r*p or L = mvr.
How does distribution of mass affect angular velocity?
The distribution of mass affects the angular momentum through the moment of inertia (usually I). The angular momentum is given by: →L=I→ω where →ω is the angular velocity. Let’s assume we’re talking about a rigid body spinning around a single axis.
How does mass affect linear momentum?
In symbols, linear momentum is expressed as p = mv. Momentum is directly proportional to the object’s mass and also its velocity. Thus the greater an object’s mass or the greater its velocity, the greater its momentum.
Does mass matter in angular velocity?
Yes. The greater the mass, the greater the angular momentum.
How does mass length or gravity affects the relationship between angular acceleration?
Question: How do mass, length, or gravity affect the relationship between angular acceleration and angle? Answer: From equation (1) we see that: Mass doesn’t affect the motion at all. The amplitude of the sine relationship is proportional to gravity.