Translational energy vs. kinetic energy

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Translational energy is a component of kinetic energy, specifically related to the motion of a body’s center of mass. Kinetic energy encompasses not only translational motion but also rotational and vibrational energy. The term "translational kinetic energy" is used to distinguish this specific type of energy from others. To calculate translational kinetic energy, the formula used is m v^2/2, where m is mass and v is velocity. Understanding these distinctions is crucial for studying the dynamics of extended bodies.
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Homework Statement


Is translational energy the same thing as kinetic energy?

The Attempt at a Solution


In a sense, I feel like it is, since they both deal with energy of motion, but then again, isn't kinetic energy the sum of translational, rotational, AND vibrational motion?
 
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physgirl said:

Homework Statement


Is translational energy the same thing as kinetic energy?


The Attempt at a Solution


In a sense, I feel like it is, since they both deal with energy of motion, but then again, isn't kinetic energy the sum of translational, rotational, AND vibrational motion?
Correct. Translational energy is only one aspect of a body's kinetic energy. A three dimensional body has the ability to rotate about its centre of mass. Rotational energy is independent of translational motion of the center of mass. If the body is not rigid, there is additional energy of compression/expansion (vibration).

AM
 
So then given mass and velocity of a particle, how would you find the translational energy of a particle...?
 
it's not actually called "translational energy" it's called "translational kinetic energy." Use the usual formula for kinetic energy m v^2/2. We have introduced the new adjective "translational" because we will soon be studying extended bodies (or, apparently, you will) which have in addition to "translational kinetic energy" also "rotational kinetic energy."
 
If have close pipe system with water inside pressurized at P1= 200 000Pa absolute, density 1000kg/m3, wider pipe diameter=2cm, contraction pipe diameter=1.49cm, that is contraction area ratio A1/A2=1.8 a) If water is stationary(pump OFF) and if I drill a hole anywhere at pipe, water will leak out, because pressure(200kPa) inside is higher than atmospheric pressure (101 325Pa). b)If I turn on pump and water start flowing with with v1=10m/s in A1 wider section, from Bernoulli equation I...

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