Formula for translational angular momentum

In summary, the formula for translational angular momentum is L = mvr, and it is a fundamental concept in physics that describes the rotational motion of an object. It is different from linear momentum, which only takes into account an object's linear motion. Translational angular momentum is closely related to torque and has various real-world applications, including calculating the angular momentum of rotating objects and designing machines and structures that utilize rotational motion.
  • #1
ohheytai
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0
high this isn't really a homework question, but can someone tell me how to Calculate the translational angular momentum i forgot. thanks
 
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  • #2
Of a rolling disc? Or a rolling sphere? Its different for every geometric object. The formula is [tex] L = I \omega[/tex]

And for future reference, anything to do with angular dynamics equation can be easily found by using various substiution:

mass = moment of inertia
v = omega
Force = Torque
Distance = Theta
acceleration = angular acceleration

So F = ma, in rotational dynamics is Torque = Moment of inertia * Angular Acceleration.

Just replace all the terms.
 

1. What is the formula for translational angular momentum?

The formula for translational angular momentum is L = mvr, where L represents angular momentum, m represents mass, v represents velocity, and r represents the distance from the axis of rotation.

2. What is the significance of translational angular momentum in physics?

Translational angular momentum is a fundamental concept in physics that describes the rotational motion of an object. It is used to calculate the amount of angular momentum an object has and is important in understanding the laws of motion and the conservation of energy.

3. How is translational angular momentum different from linear momentum?

Translational angular momentum and linear momentum are both measures of an object's motion, but they describe different aspects of it. Linear momentum only takes into account an object's linear motion, while translational angular momentum also considers the object's rotation around an axis.

4. What is the relationship between translational angular momentum and torque?

Translational angular momentum is closely related to torque, which is the force that causes an object to rotate around an axis. In fact, the formula for translational angular momentum can be rewritten as L = Iω, where I represents the moment of inertia and ω represents the angular velocity. This shows that torque and angular momentum are directly proportional.

5. What are some real-world applications of the formula for translational angular momentum?

The formula for translational angular momentum is used in many real-world applications, such as calculating the angular momentum of rotating objects like wheels, propellers, and turbines. It is also used in fields such as engineering, astronomy, and mechanics to understand the behavior of rotating systems and to design machines and structures that utilize rotational motion.

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