How do you calculate the enrgy required to maintain a given thrust?

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Homework Help Overview

The original poster seeks to calculate the energy required to maintain a rocket at zero velocity while hovering at sea level. The context involves understanding the relationship between thrust, energy, and power in a hovering scenario.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the need for additional details about the engine to determine energy consumption. The original poster contemplates the energy consumption in kW.Hrs based on mass and energy efficiency, raising questions about the relationship between mass flow rate and acceleration.

Discussion Status

Participants are exploring various aspects of the problem, including the forces acting on the rocket and the potential energy involved. Some guidance has been offered regarding the inclusion of potential energy in calculations, but explicit consensus on the energy equation has not been reached.

Contextual Notes

The discussion includes considerations of continuous power supply and mass flow rate, as well as references to external examples of similar craft, indicating a desire for practical application of theoretical concepts.

kitna paisa
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Homework Statement


I would like to be able to calculate the energy use per second, to maintain a rocket of given mass, at zero velocity, i.e. hovering, at, say, sea level.


Homework Equations


I have Thrust = Force times velocity, but can't work out the energy due to the velocity of the rocket equaling zero, leading to zero work, and apparently zero energy, whilst obviously there is considerable use of energy, and thus power.


The Attempt at a Solution

 
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You would need to know more details about the engine to figure it out.
 
Thanks. What I intended was to make a craft like a rocket, but which could hover. The motor could be any power plant, capable of powering a jet of water.
The water would be supplied to the craft on a continuous basis, so the craft would remain at constant mass. The power would also be provided to the craft on a continuous basis, and would most likely be electrical.
How would I work out what the energy consumption would be be in kW.Hrs for any given mass, at (craft) zero velocity, with en energy-efficiency of x%? I suspect that the result would depend on the m(dot).a configuration.
Thanks. kitna
 
There are two forces acting on the rocket , by engine and by gravity.
The energy given by gravity is potential energy.

So W=dKE+dPE.

If you calculate work done by non conservative forces which does not include gravity then you must include the PE term.
 
Thanks I can imagine the forces involved- no problem there. To get to the question though, what is the energy equation? There is a fine example of what I am talking about in this video. It shows just such a craft as envisaged, producing thrust to raise a mass, but how was the energy calculation made?
see http://www.break.com/index/amazing-new-water-powered-jet-pack.html
Cheers
kitna
 
OK, the link that I gave in the previous post wasn't very good, so here is the original link for this crazy vehicle: http://jetlev.com/ !
 
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