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Linear Momentum vs. Angular Momentum — What's the Difference?

By Tayyaba Rehman — Published on October 15, 2023
Linear Momentum pertains to motion in a straight line and is the product of mass and velocity, while Angular Momentum relates to rotational motion and is the product of moment of inertia and angular velocity.

Difference Between Linear Momentum and Angular Momentum

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Key Differences

Linear Momentum and Angular Momentum are foundational concepts in the realm of physics. Linear Momentum, often simply referred to as momentum, is a measure of an object's motion in a straight line. It is quantified as the product of the object's mass and its linear velocity. Angular Momentum, conversely, relates to the rotation of an object around a point or an axis. This is described as the product of the object's moment of inertia and its angular velocity.
Tayyaba Rehman
Oct 15, 2023
In practical terms, Linear Momentum can be visualized when a hockey player shoots a puck; the puck's motion on the ice represents its linear momentum. In contrast, Angular Momentum can be seen in a figure skater's spin; as the skater pulls in their arms, their spin becomes faster due to the conservation of angular momentum.
Tayyaba Rehman
Oct 15, 2023
While both Linear Momentum and Angular Momentum are conserved quantities in physics, their implications differ. The conservation of Linear Momentum is evident in collisions when the total momentum before the collision equals the total momentum after. Angular Momentum conservation is showcased when a rotating object continues to rotate until an external torque acts on it.
Tayyaba Rehman
Oct 15, 2023
It's crucial to distinguish between these types of momentum in different scenarios. For instance, in space, a planet orbits a star not because of its linear momentum but due to its angular momentum, which remains constant in the absence of external torques. Simultaneously, Linear Momentum is often a consideration in ground-based scenarios, like car crashes or sports.
Tayyaba Rehman
Oct 15, 2023

Comparison Chart

Definition

Product of mass and linear velocity
Product of moment of inertia and angular velocity
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Oct 15, 2023
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Relates to

Straight-line motion
Rotational motion
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Conservation in

Collisions
Absence of external torque
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Oct 15, 2023

Example

Hockey puck's motion on ice
Figure skater's spin
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Associated with

Mass
Moment of inertia
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Oct 15, 2023

Definitions

Linear Momentum

Linear Momentum can change with force.
By applying a force, she changed the linear momentum of the sled.
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Angular Momentum

Angular Momentum changes with external torques.
The gymnast used her arms to change her angular momentum during the flip.
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Oct 03, 2023

Linear Momentum

Conservation of Linear Momentum occurs in collisions.
The cars exchanged linear momentum during the crash.
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Oct 03, 2023

Angular Momentum

Angular Momentum has a directional component.
The wheel's angular momentum was oriented around its central axis.
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Oct 03, 2023

Linear Momentum

Linear Momentum has direction and magnitude.
The linear momentum of the arrow pointed directly at the target.
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Angular Momentum

Angular Momentum is tied to moment of inertia.
The dancer's angular momentum increased as she reduced her moment of inertia by pulling her arms in.
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Oct 03, 2023

Linear Momentum

Linear Momentum is mass in motion.
The football, when kicked, gained significant linear momentum.
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Angular Momentum

Conservation of Angular Momentum explains consistent rotation.
The spinning top preserved its angular momentum until it was disturbed.
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Oct 03, 2023

Linear Momentum

Linear Momentum is the product of mass and velocity.
A truck moving at a high speed has greater linear momentum than a bicycle at the same speed.
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Oct 03, 2023

Angular Momentum

Angular Momentum concerns rotational motion.
Earth maintains its orbit due to its angular momentum.
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Oct 03, 2023

FAQs

How is Linear Momentum calculated?

Linear Momentum is calculated as the product of mass and linear velocity.
Tayyaba Rehman
Oct 15, 2023

Is Linear Momentum always conserved?

In the absence of external forces, Linear Momentum is conserved.
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Oct 15, 2023

Do Linear Momentum and Angular Momentum measure the same thing?

No, Linear Momentum measures straight-line motion, while Angular Momentum measures rotational motion.
Tayyaba Rehman
Oct 15, 2023

How does the conservation of Angular Momentum apply to figure skaters?

Skaters spin faster when they reduce their moment of inertia by pulling in their arms, conserving Angular Momentum.
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Oct 15, 2023

How does force relate to Linear Momentum?

A force can change an object's Linear Momentum.
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Oct 15, 2023

Why is Angular Momentum crucial for celestial bodies?

Celestial bodies like planets maintain their orbits due to the conservation of Angular Momentum.
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Oct 15, 2023

What factors affect Angular Momentum?

Angular Momentum is influenced by the moment of inertia and angular velocity.
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Oct 15, 2023

What units are used for Linear Momentum?

Linear Momentum is measured in kilogram-meters per second (kg.m/s).
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Oct 15, 2023

Can an object have both Linear Momentum and Angular Momentum simultaneously?

Yes, an object can possess both types of momentum, like a rolling ball.
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Oct 15, 2023

How does torque relate to Angular Momentum?

A torque can change an object's Angular Momentum.
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Oct 15, 2023

Author Spotlight

Written by
Tayyaba Rehman
Tayyaba Rehman is a distinguished writer, currently serving as a primary contributor to askdifference.com. As a researcher in semantics and etymology, Tayyaba's passion for the complexity of languages and their distinctions has found a perfect home on the platform. Tayyaba delves into the intricacies of language, distinguishing between commonly confused words and phrases, thereby providing clarity for readers worldwide.

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