F13-9. A pilot weighs 150 lb and is traveling at a

Chapter 13, Problem F13-9

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QUESTION:

A pilot weighs \(150 \mathrm{lb}\) and is traveling at a constant speed of \(120 \mathrm{ft} / \mathrm{s}\). Determine the normal force he exerts on the seat of the plane when he is upside down at \(A\). The loop has a radius of curvature of \(400 \mathrm{ft}\).

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QUESTION:

A pilot weighs \(150 \mathrm{lb}\) and is traveling at a constant speed of \(120 \mathrm{ft} / \mathrm{s}\). Determine the normal force he exerts on the seat of the plane when he is upside down at \(A\). The loop has a radius of curvature of \(400 \mathrm{ft}\).

ANSWER:

Step 1 of 3

 

The weight of the pilot is \(W=150 \mathrm{lb}\)

The constant speed of the pilot is \(v=120 \mathrm{ft} / \mathrm{s}\).

The radius of curvature of the loop is \(R=400 \mathrm{ft}\).

The mass of the pilot can be given as,

\(\begin{aligned}m &=\frac{W}{g} \\&=\frac{150 \mathrm{lb}}{32.17 \mathrm{ft} / \mathrm{s}^{2}} \\&=4.662 \mathrm{lbm}\end{aligned}\)

 

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