A plane flies in a loop at 1000km/h. At the top of the loop the pilot feels a force from their chair which is double their weight. What is the radius of the loop?
a) 1.593km
b) 2.625km
c) 2.928km
From Newton's second law
FN = mV2/r - mg
Given FN =2 mg
2mg = mV2/r - mg
3mg = mV2/r
r = V2/3g
Given V=1000*1000/3600 =277.78 m/s
r=277.782/3*9.8
r = 2.625 km
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