How do you find the radius and centripetal force of a plane traveling in a circle?

An air plane turns a complete horizontal circle in 2 minutes. If the plane's speed is 170m/s....





1) what is the radius of the circle?





2) what is the centripetal acceleration of the plane?|||1) Velocity=Distance*time


Distance=Velocity/time


Distance=2pi*r (circumference of a circle)





r=velocity/2*pi*time


time=120 seconds


velocity=170m/s





Plug in to solve





2) Centripetal acceleration=v^2/r


Use the given velocity and calculated r to plug in and solve.|||1) we know, V= 2pi*R/T.............1) where 2pi =Constant,R= radius, T= time taken to one complete circle %26amp; V= velocity described in a circle.


Hence,


V=170 m/s, T=2 minutes, and R=?


or, 170= 6.28*(R/2*60)= 6.28*R/120


or,120*170=6.28*R


or R=20400/6.28=3248.4 miles


Hence the radius described by the plane,R=3248.4 miles is the answer





2)Centripital accleration of the plane, C= V^2/R = 170^2/3248.4=28900/3248.4=8.9miles/sec^2


Therfore, C= 8.9 miles/ Sec^2 are the answers.