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Circular Motion Plane Loop

1. Homework Statement
someone is flying a plane and he is being chased and at the bottom of the loop his guages say he is traveling at 180km/h he is sitting on a bathroom scale which says he weighs 4 times what he normally does, what is the radius of the loop in meters?


2. Homework Equations
Fc=Fn ?
R=v^2/g

3. The Attempt at a Solution
well 180km/h is 50m/s and since he is 4 times as heavy the acceleration due to gravity will be 4 times greater? so i used the formula and it comes out as 63.71 m which seems unbelievable so i figured id ask, probably somthing stupid im doing wrong

thanks
 

Answers and Replies

mgb_phys
Science Advisor
Homework Helper
7,744
12
thanks i think its right :)
 
35
0
well 180km/h is 50m/s and since he is 4 times as heavy the acceleration due to gravity will be 4 times greater?
Aren't the forces on the body at the bottom of the loop [itex]\vec{F_{cf}}+\vec{W}=4\vec{W}[/itex]? Then we get different acceleration.
 

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