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

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An airplane is flying in a horizontal circle at a speed of 100 m/s, and the pilot wants to ensure the centripetal acceleration does not exceed 7.00 times the acceleration due to gravity. The initial calculations led to an incorrect radius of 2318 m. A suggestion was made to adjust the formula by changing time to radius, which could lead to a correct solution. After recalculating, a radius of 145.6 m was proposed as a plausible answer. The discussion emphasizes the importance of correctly applying the equations for centripetal motion.
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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!:)
 
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Change the t to an r like we talked about in your other thread and you should be OK.
 
so ..145.6 m ?
 
Looks good to me.
 
Thanks!
 

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