When conservation does not apply

In summary, conservation of angular momentum states that initial angular momentum is equal to final angular momentum if there is no net torque. However, if there is a net torque, angular momentum can change and this change can be calculated by considering the torque applied over a certain amount of time. This concept is similar to the conservation of linear momentum and how external forces can affect it. It's important to note that conservation laws only apply to isolated systems, so if there is an external force or torque, conservation of angular momentum does not hold. To calculate the change in angular momentum in the presence of an external torque, the time over which the torque was applied is needed.
  • #1
pakmingki
93
1
im just talking in general about conservation of linear momentum, angular momentum, mechanical energy, etc.

So, for angular momentum, if angular momentum is constant, then initial angular momentum = final angular momentum.

But, what if there is a net torque? How do you take that into account when calculating the final angular momentum?
 
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  • #2
It's quite analogous to linear momentum and linear force. When a torque is applied over a certain amount of time, it adds angular momentum. For example, imagine pedaling a bicycle. The motion of the wheels remains mostly constant, then once you start pedaling it speeds up, increasing angular momentum.

In general, torque can be thought of as a rate of change in angular momentum.
 
  • #3
Conservation laws only work for isolated systems. If there is an external force or torque for example, conservation of momentum does not apply.

For the case where there is an external torque, then;

Initial L + delta L = Final (L)

To find delta L (change in angular momentum) you need to know the time over which the torque was applied.

Claude.
 

FAQ: When conservation does not apply

Why does conservation not always apply in scientific research?

Conservation is a fundamental principle in science that states matter and energy cannot be created or destroyed, only transformed. However, there are instances where this principle may not apply, such as in the study of quantum mechanics or in certain chemical reactions where matter is created or destroyed.

How do scientists determine when conservation does not apply?

Scientists use various methods, such as mathematical models and experimental data, to determine when conservation does not apply in their research. They may also consult with other experts in their field to ensure their findings are accurate.

Can conservation laws be broken in nature?

No, conservation laws cannot be broken in nature. These laws are fundamental principles that govern the behavior of matter and energy in the universe and have been verified through numerous experiments. However, there are instances where conservation laws may not appear to apply due to limitations in our understanding or measurement capabilities.

What are some examples of when conservation does not apply?

Some examples of when conservation does not apply include nuclear reactions, where matter is converted into energy, and pair production in quantum mechanics, where matter can spontaneously appear out of energy. Chemical reactions involving radioactive elements and certain astrophysical phenomena also demonstrate violations of conservation laws.

How does the concept of conservation impact scientific research?

The concept of conservation is crucial in scientific research as it provides a framework for understanding and predicting the behavior of matter and energy. It allows scientists to make accurate predictions and develop theories that can be tested and verified through experiments. Additionally, the violation of conservation laws can lead to new discoveries and advancements in our understanding of the natural world.

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