Question:

A jet pilot takes his aircraft in a vertical loop (Fig. 5–38).

- If the jet is moving at a speed of 840 km/h at the lowest point of the loop, determine the minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed 6.0 g’s.
- Calculate the 78-kg pilot’s effective weight (the force with which the seat pushes up on him) at the bottom of the circle, and
- at the top of the circle (assume the same speed).

Figure 5-38.

Source: Giancoli, Douglas C., Physics: Principles with Applications, 7th Edition, 2014.

Quick Answer:

- $930\textrm{ m}$
- $5400\textrm{ N}$
- $3800\textrm{ N}$

## Comments

For part c, how can you be certain to use 233.33 m/s as your velocity if this is the velocity give by the problem for the lowest point of the loop? I solved the problem by using 6.0g as my radial acceleration (i got the correct answer but I'm not sure why). Thank You.

Oops I misread the part where it said "same speed".