Answer to Question #231077 in Physics for Kallo

Question #231077

A pilot of mass 80 kg in a jet aircraft while executing a loop the loop with a constant speed of 250m/s . If the radius of circle is 6000m ,compute the force exerted by sent on a pilot. at a) Top of loop

b)bottom of loop.


1
Expert's answer
2021-08-30T15:06:22-0400

(a)

Ftop+mg=mv2r,F_{top}+mg=\dfrac{mv^2}{r},Ftop=mv2rmg,F_{top}=\dfrac{mv^2}{r}-mg,Ftop=80 kg(250 ms)26000 m80 kg10 ms2=33 N.F_{top}=\dfrac{80\ kg\cdot(250\ \dfrac{m}{s})^2}{6000\ m}-80\ kg\cdot10\ \dfrac{m}{s^2}=33\ N.

(b)

Fbottommg=mv2r,F_{bottom}-mg=\dfrac{mv^2}{r},Fbottom=mv2r+mg,F_{bottom}=\dfrac{mv^2}{r}+mg,Fbottom=80 kg(250 ms)26000 m+80 kg10 ms2=1633 N.F_{bottom}=\dfrac{80\ kg\cdot(250\ \dfrac{m}{s})^2}{6000\ m}+80\ kg\cdot10\ \dfrac{m}{s^2}=1633\ N.

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