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moenste
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Homework Statement
An aeroplane loops the loop in a vertical circle of radius 200 m, with a speed of 40 m s^-1 at the top of the loop. The pilot has a mass of 80 kg. What is the tention in the strap holding him into his seat when he is at the top of the loop?
Answer: 160 N.
Homework Equations
A-Level Physics, chapter 6 formulas:
w = Angle / t
T = 2Pi / w
v = wr
a = w^2 * r
a = v^2 / r
The Attempt at a Solution
r = 200 m
v / u ? = 40 m s^-1
m = 80 kg
Attempt 1. 1/2 mv^2 = mgr -> 64 000 = 160 000. Wrong.
Attempt 2. F = ma -> a = w^2 * r -> v = wr -> 40 = w*200 -> w = 0.2 rad s -> a = 0.2^2 * 200 = 8 -> F = 80*8 = 640 N. Wrong.
Thank you in advance for any suggestions.