As indicated in fig a plane flyilng at constant speed is banked at angle `theta` in order to fly in a horizontal circle of radius r. The aerodynamic lift force acts generally upward at right angles to the plane's wings and fuselage. Thislift force corresponds to the tension provided by the string in a conical pendulum or the normal force of a tanked road. (a) Obtain the equation for the required banking angle `theta` in terms of v,r and g . (b) What is the required angle for `v=60m/s` (216km/h) and r=1.0 km?

Answer

(a) `tan theta=v^(2)//rg` (b) `19.7^(@)`