Speed, energy, power and air resistance

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Doubling speed increases aerodynamic drag by four times, necessitating approximately eight times more power output from the engine due to the relationship between power, drag, and speed. While energy consumption for a fixed distance would only double, the power required to overcome drag is significantly higher. This relationship stems from the fact that drag force is proportional to the square of speed, complicating intuitive understanding of energy dynamics. Additionally, rolling resistance may also factor into total power requirements. Understanding these principles is crucial for accurately calculating energy consumption and performance in vehicles.
Patrick Pihl
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What is wrong here. If I double speed drag will be 4 times higher. The engine needs to put out approximately 4 times more power. Energy consumption will be 4 time higher for a specific time period. However if it is a fixed distance I will arrive in half the time an the energy consumption will therefore only double. Now if I look on the formula E=FxS (energy=Force x Distance) the force will be 4 times higher and therefore also the total energy needed. //Thanks
 
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Patrick Pihl said:
What is wrong here. If I double speed draft will be 4 times higher. The engine needs to put out approximately 4 times more power. Energy consumption will be 4 time higher for a specific time period.
No, power (energy over a specific time) is 8x higher. Drag is 4x higher, and speed is 2x higher (or time is 1/2 as long).
 
russ_watters said:
No, power (energy over a specific time) is 8x higher. Drag is 4x higher, and speed is 2x higher (or time is 1/2 as long).

Well, then it make sense. Not very intuitive (to me) that power increase that way in relation to drag.
 
the aerodynamic drag force is proportional to the square of the speed
power required is : ( aerodynamic drag force overcome (+ rolling resistance if you want) ) * speed

if fuel consumption is energy consumed, is this power * time ?
 
dean barry said:
the aerodynamic drag force is proportional to the square of the speed
power required is : ( aerodynamic drag force overcome (+ rolling resistance if you want) ) * speed

if fuel consumption is energy consumed, is this power * time ?
That's correct...if you also include engine efficiency.
 
It may be shown from the equations of electromagnetism, by James Clerk Maxwell in the 1860’s, that the speed of light in the vacuum of free space is related to electric permittivity (ϵ) and magnetic permeability (μ) by the equation: c=1/√( μ ϵ ) . This value is a constant for the vacuum of free space and is independent of the motion of the observer. It was this fact, in part, that led Albert Einstein to Special Relativity.

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