Consider a large wind turbine with 3 blades. Suppose each blade is 67 m long and has a mass of 22 tons. When a strong wind blows, it causes the blades to move by pushing with a force equivalent to 105 N acting through the centre of each blade. b) Determine the total torque acting on the wind turbine (assume the wind force pushes perpendicular to the blades) c) The operating speed of the wind turbine is 1 revolution every 10 seconds. By treating the blades as rods rotating around their ends (see part (a)), determine the angular acceleration of the wind turbine, and thereby determine how long it takes to reach its operating speed (from a standing start). d) Once the wind turbine reaches its operating speed, it is connected to a electrical generator which keeps it from accelerating further. What is the power output of the wind turbine running at its operational speed in 105 N winds?
A has been done if you can help with the rest it would be nice :)
a) Explain (with derivations) why the moment of inertia for a rod of length L with mass M
rotating around one of its ends is
I=13
ML2
Consider a large wind turbine with 3 blades. Suppose each blade is 67 m long and has a mass of
22 tons. When a strong wind blows, it causes the blades to move by pushing with a force
equivalent to 105 N acting through the centre of each blade.
b) Determine the total torque acting on the wind turbine (assume the wind force pushes
perpendicular to the blades)
c) The operating speed of the wind turbine is 1 revolution every 10 seconds. By treating the
blades as rods rotating around their ends (see part (a)), determine the
the wind turbine, and thereby determine how long it takes to reach its operating speed (from a
standing start).
d) Once the wind turbine reaches its operating speed, it is connected to a electrical generator
which keeps it from accelerating further. What is the power output of the wind turbine running
at its operational speed in 105 N winds?
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