Question

An 7 kg airplane is banking through a circle of radius 5.6 m. If the centripetal force on the plane is 20 N, what is the tangential velocity of the plane?

Answer 1

m = mass of the airplane = 7 kg

r = radius of circle being traced by airplane = 5.6 meter

F = centripetal force acting on the airplane = 20 N

v = tangential velocity of the airplane

centripetal force acting on the airplane is given as

F = m v²/r

20 = 7 v²/5.6

20 x 5.6 = 7 v²

7 v² = 112

v² = 112/7

v² = 16

v = sqrt(16)

v = 4 m/s

hence the tangential velocity of the plane comes out to be 4 m/s