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Faster than sound at low altitude


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I'm going to be the nitpicky pilot in this thread. Can't help myself. ;) For the record though, I haven't even gotten close to these speeds close to the surface.

The speed of sound is not an absolute. It is dependent on temperature. The formula on Earth for the local speed of sound in knots is 38.94 times the square root of the absolute temperature (temperature in degrees Kelvin). Thus in a standard atmosphere on Earth (15 degrees C at sea level), the speed of sound is 661 knots at sea level (340 m/s).

In a standard atmosphere, temperature decreases by 1.98C/1000ft, and it follows that local speed of sound thus decreases with altitude. Of course in a real atmosphere the lapse rate (change of temperature with increasing altitude) is not constant, so the local speed of sound varies not only due to altitude. Then again Kerbin does not have weather so we can consider it an actual standard atmosphere.

Using the standard lapse rate, at 500m the temperature is 11.75C (284.75K) so the local speed of sound is 657 knots (338 m/s).

I updated the rules a bit. but it's about STRAIGHT flight, so no diving please.

Nitpicking again, straight flight is on the same heading. Level flight is at the same altitude.

Edited by Starlionblue
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The speed of sound is not an absolute. It is dependent on temperature. The formula on Earth for the local speed of sound in knots is 38.94 times the square root of the absolute temperature (temperature in degrees Kelvin). Thus in a standard atmosphere on Earth (15 degrees C at sea level), the speed of sound is 661 knots at sea level (340 m/s).

In a standard atmosphere, temperature decreases by 1.98C/1000ft, and it follows that local speed of sound thus decreases with altitude. Of course in a real atmosphere the lapse rate (change of temperature with increasing altitude) is not constant, so the local speed of sound varies not only due to altitude. Then again Kerbin does not have weather so we can consider it an actual standard atmosphere.

Using the standard lapse rate, at 500m the temperature is 11.75C (284.75K) so the local speed of sound is 657 knots (338 m/s).

Meanwhile in KSP...

Temperature measured at 500m via stock thermometer is 17.48C, so that's 341.4 m/s

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Meanwhile in KSP...

Temperature measured at 500m via stock thermometer is 17.48C, so that's 341.4 m/s

Perfect.

I guess we can leave the question of whether Outside Air Temperature measurement is compensated for ram rise at high speeds out of it. ;)

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