What is the value of a in our standard units for our \"human limit design\" acce
ID: 1322538 • Letter: W
Question
What is the value of a in our standard units for our "human limit design" acceleration of 9g? A modern supersonic jet fighter plane flying at 'MACH-3' (that is three times the speed of sound) has a typical speed (magnitude of the velocity) of V=1000 m/sec. If the plane flying at this constant speed is turning and travels in a circle, what is the radius R of the circle for which the pilot to experiences an accelration og 9g? Find the radius in meters, then translate to miles. This is the minimum radius allowable for a full speed turn of a fighter with a pilot if we want to stay within the 'human limit design'.
Explanation / Answer
in this problem
value of a in our standard units for our "human limit design" acceleration of 9g
a=9g
=9*9.8*m/s2
=88.2m/s2
modern supersonic jet fighter plane flying at 'MACH-3' (that is three times the speed of sound) has a typical speed (magnitude of the velocity) of V=1000 m/sec.
net force on pilot=force required to move into circular motion
ma=mv2/R
R=radius of circular path
a=v2/R
v2=9Rg
R=10002/88.2
=11337.86m
=11.337km
1KM=0.6213MILES
R=11.337*0.6213
=7.04miles
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