Question

The aerodynamic force exerted on each blade of a wo-blade wind turbine is 1000N. At the given conditions, the lift coefficient is 0.9. If the center of gravity of the blade is at 20m from the hub, compute the following:

1. The torque generated by the two blades.
2. The blades' power at 30 r/min.
Aerodynamic lift:
It is a combination of the speed of the air over a surface, the curve of the surface, and the impact of the air motion under the surface of the wing form.

Answer 1

Step-by-step explanation:

Torque:

The torque generated by the two blades is given by the formula T = F x r, where F is the aerodynamic force and r is the distance from the hub to the center of gravity of the blades. Therefore, the torque generated by the two blades is 1000N x 20m = 20000 Nm.

Power:

The power generated by the two blades is given by the formula P = T x w, where T is the torque and w is the angular velocity in radians per second. At 30 r/min, the angular velocity is w = 2π/60 x 30 = π/3 radians/sec. Therefore, the power generated by the two blades is 20000 Nm x π/3 = 66666.67 W.