- #1

HRubss

- 66

- 1

## Homework Statement

A 2250 kg airplane makes a loop the loop (vertical circle) at a speed of 320 km/hour. Find (a) the radius of the largest circular loop possible and (b) The force on the plane at the bottom of this loop.

## Homework Equations

F = m*a

Centripetal Force = m * (v

^{2})/r

"Critical Speed" = Sqrt ( r*g) (I'm not sure if that's the proper term)

1/2 *m*v

^{2}= 1/2*m*v

^{2}

## The Attempt at a Solution

Since no height was given in the problem, I set the altitude of the plane at 0 so it shouldn't have any potential energy at the bottom of the loop. Using the conservation of energy and 0 potential energy, I have the 3rd equation. I also know that the "critical speed" is equal to the square root of the radius * gravitation force so I substitute that into my final kinetic energy's velocity and solve for the radius. I'm not sure if this is correct and I know that the normal force is dependent on the finding the correct radius, I don't attempt part b just yet.