Calculating Mach Number of Aircraft at Sea Level

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The discussion focuses on calculating the Mach number of an aircraft at sea level, specifically for speeds of 1140 km/h and 900 km/h. The correct Mach numbers are identified as 0.995 and 0.753, respectively. The formula used is Mach number equals the speed of the object divided by the speed of sound, which is approximately 340.29 m/s at sea level. Participants express confusion over the calculations and the values used for the speed of sound. Accurate understanding of the speed of sound is crucial for determining the correct Mach number in this context.
soulja101
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Homework Statement


What is the mach number if an aircraft traveling at sea level at 0 degrees with a speed of A)1140km/h b)900.0km/ the answers are 0.995 abd 0.753 in order. I Cant get those.


Homework Equations


mach number=speed of object/speed of sound


The Attempt at a Solution



322meters per second/316meters per second

1.02meters per second and i got a different number than the answer for number 2
 
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for the first it should be: \frac{316. 6 \frac{m}{s}}{ 340.29 \frac{m}{s}}
 
where did u get 340 from
 
thats the speed of sound at sea level.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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