Question

Formula for finding maximum velocity in vertical circle

Answer 1

Hey!

Given:mass of piolot = m = 75 kg, radius of circle = r = 200 m, velocity of plane = v =360 km/h = 360 x 5/18 = 100 m/s , To find: force at the top of loop = FT = ?, Force at bottom of loop = FB = ?,. At the topmost point, the centrifugal force acts vertically upward and the weight of the body acts vertically downward

Answer 2

net radial force on the particle is FR = T - mg cos θ

=> T - mg cos θ = mv2/R

=> T = mv2/R + mg cos θ

Since speed of the particle decreases with height, hence tension is maximum at the bottom, where cos θ = 1 (as θ = 0).

=> Tmax = mv2/R + mg; Tmin = mv'2/R - mg (at the top)

Here,  v' = speed of the particle at the top.