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Question for the Experts - Guest - 12.10.2010

How would I work out an Objects projected top speed?

Just give me an example if you can such as the Size/Surfuce of the object, the weight, the thrust, lift and the drag. Then what is the mathematical formula or whatever for working out the objects top speed and acceleration.

Sorry if it's a hard question but some of you guys in the community being either experts or pilot I thought you might be able to explain it to me.


Re: Question for the Experts - J99Eingehirner - 12.10.2010

That is a very difficult question to answer in general. It depends strongly on the shape of the object, the propelling force, air temperature+pressure, if you go uphill/downhill etc. For a sphere, you have a friction coefficient of 0.47 while for seemingly similar shapes it's different:
http://en.wikipedia.org/wiki/Drag_coefficient
The force and, hence, the maximum speed can then be calculated using the drag equation,
http://en.wikipedia.org/wiki/Drag_equation
This, however, is only true if you have the case of laminar airflow where drag grows with the square of the speed. If it becomes turbulent (as in the case of a wing ripped off), the force increases drastically, proportional to higher orders of the speed and, therefore, the maximum airspeed is lowered.
So, you see, while it's quite easy to predict the maximum speed of a sphere in laminar airflow, it becomes very difficult if you look at, e.g., a human being or even a "well-behaved" plane shape.


Re: Question for the Experts - caldrail - 17.10.2010

WW2 aircraft designers sometimes got it wrong too. If you look, there's a fair few projects that never cut the mustard for that very reason.


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RE: Question for the Experts - miarose7878 - 12.06.2023

To determine an object's projected top speed, you would need to consider factors such as its size, weight, thrust, lift, and drag. The specific mathematical formula or approach to calculating the object's top speed and acceleration depends on the characteristics of the object and the context in which it operates.

For example, in the case of an aircraft, you would need to take into account of cheap assignment helper its aerodynamic properties, engine power, wing area, air density, and other relevant variables. By using principles from aerodynamics and physics, you can employ equations such as the lift equation, drag equation, and equations of motion to estimate the object's top speed and acceleration.