Derive an expression for the probability of a bird collision with a rotating rotor blade.

Calculate the collision probability between a flying object and the rotating blades tips of a wind turbine for the number of rotor blades:

1. n=1,

2. n=2,

3. n=3.

for a rotational frequency f=20 rpm, a thickness of the blades of 0.3 m, and the perpendicular speed of a flying bird of 10 m/sec.