What Is the Minimum Radius for Safe Flight at 100 m/s?

[mortho]

Homework Statement

An airplane is flying in a horizontal circle at a speed of 100 m/s. The 88.0 kg pilot does not want his centripetal acceleration to exceed 7.00 times free-fall acceleration.
a) What is the minimum radius of the circular path?

Homework Equations

v=eπr/t

a=v2/t

The Attempt at a Solution

So i figured out the time using the acceleration equation which was 68.67=100squred/t and for t i got 145.6 s. Then i used that time to solve for radius and got 2318 m which was wrong. The only thing i could think of that i did wrong was something mathematical. Help Please!:)

 

[hage567]

Change the t to an r like we talked about in your other thread and you should be OK.

 

[mortho]

so ..145.6 m ?

 

[hage567]

Looks good to me.

 

[mortho]

Thanks!