The discussion focuses on calculating the radius of a vertical loop for a plane flying at 720 kilometers per hour, ensuring that the maximum force experienced by the pilot is five times her weight. The derived formula for the radius is r = v²/(5g), where v is the velocity (200 m/s) and g is the acceleration due to gravity (9.8 m/s²). The calculated radius is approximately 4.081 kilometers. The conversation also clarifies that the normal force at the bottom of the loop is 5mg, which leads to a net centripetal force of 4mg acting on the pilot.
PREREQUISITESAerospace engineers, physics students, and aviation safety professionals will benefit from this discussion, particularly those interested in the dynamics of flight and the forces acting on pilots during maneuvers.
Now you've got it!Sirsh said:
I'll leave it up you as an academic exercise if you what to assume something to see what may be happening at the top of the loop. Note that in more typical loop the loop problems, like yoyos in a vertcal circle , or loop the loop roller coasters , the speed is far from constant, so don't take this problem as a typical example of vertcal circular motion problems.