Answer :
At sea level, the airplane's airspeed is Mach 0.25, indicating it's traveling at 25% of the speed of sound. This relationship between Mach number and airspeed varies with altitude due to changing air density.
The question is asking for the relationship between impact pressure and static pressure in an airplane flying at sea level and the airspeed in mach.
First, it is important to understand that impact pressure is the additional pressure experienced by an object as it moves through a fluid, while static pressure is the pressure exerted by the fluid at rest. The difference between the two, in this case, is given as 0.25 k per square inch.
To calculate the airspeed in mach, we need to use the formula: Mach number = airspeed / speed of sound. The speed of sound at sea level is approximately 761 miles per hour or 1116 feet per second. By rearranging the formula, we can calculate the airspeed in mots:
Mach number = airspeed / 1116 feet per second
0.25 k per square inch = 0.0003632 psi (converted from k per square inch)
1 psi = 144 pounds per square foot (psf)
0.0003632 psi = 0.05229 psf (converted from psi)
Mach number = airspeed / 1116 feet per second = 0.05229 psf
airspeed = Mach number * 1116 feet per second
airspeed = 0.05229 psf * 1116 feet per second
airspeed = 58.23 feet per second
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