Calculating Speed of Military Airplane at Mach 2.00

AI Thread Summary
A military airplane traveling at Mach 2.00 needs to be calculated in terms of speed at sea level and 0 degrees Celsius. The Mach number formula relates the speed of the object to the speed of sound, which varies with environmental conditions. At sea level and 0 degrees, the speed of sound is approximately 343 meters per second, making the speed of the airplane around 686 meters per second or 2469 km/h. The initial calculation of 166 m/s was incorrect due to a misunderstanding of the Mach number application. Understanding the speed of sound's dependence on temperature and density is crucial for accurate calculations.
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Homework Statement


A military airplane can travel at mach 2.00 What is the speed in km/h at sea level and at 0 degress

Homework Equations


mach number=speed of object/speed of sound

The Attempt at a Solution


speed of object=speed of sound divided by mach number
322meters per second/2.00
=166m/s that's answer i got for the 0 degrees but its wrong because the answer is supposed 2390km/h i don't know how to get the sea level one.
 
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The speed of sound changes with density. It travels faster under water for instance.
 
wat do u mean

so i can get the answer i don't think the teacher wanted us to the density thing, is there another way of doing this
 
mach number=speed of object/speed of sound

Correct.

speed of object=speed of sound divided by mach number

Try again. If the speed limit sign says "30 miles per hour" and the officer says "I just clocked you at twice the posted limit", does that mean you were going 15 mph or 60?
 
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