A wind turbine has 3 blades: each of which measure 38 m long and has a mass of 5216 kg. The three blades are mounted at their ends 120 degrees apart on a hub (assume the hub is so small it can be ignored). a) If the angular velocity is 1.9 rad/s, what is the kinetic energy when it rotates at constant angular velocity? b) How much work did the wind provide when starting the turbine from ω=0 rad/s if the mechanism generates 10% of the kinetic energy as heat in addition to the kinetic energy of the turbines? c) If the mechanism of the wind turbine can convert a max of 75% of the kinetic energy of the turbine to useful work in a minute, what is the power output of the turbine?
A wind turbine has 3 blades: each of which measure 38 m long and has a mass of 5216 kg. The three blades are mounted at their ends 120 degrees apart on a hub (assume the hub is so small it can be ignored). a) If the angular velocity is 1.9 rad/s, what is the kinetic energy when it rotates at constant angular velocity? b) How much work did the wind provide when starting the turbine from ω=0 rad/s if the mechanism generates 10% of the kinetic energy as heat in addition to the kinetic energy of the turbines? c) If the mechanism of the wind turbine can convert a max of 75% of the kinetic energy of the turbine to useful work in a minute, what is the power output of the turbine?
A wind turbine has 3 blades: each of which measure 38 m long and has a mass of 5216 kg. The three blades are mounted at their ends 120 degrees apart on a hub (assume the hub is so small it can be ignored). a) If the angular velocity is 1.9 rad/s, what is the kinetic energy when it rotates at constant angular velocity? b) How much work did the wind provide when starting the turbine from ω=0 rad/s if the mechanism generates 10% of the kinetic energy as heat in addition to the kinetic energy of the turbines? c) If the mechanism of the wind turbine can convert a max of 75% of the kinetic energy of the turbine to useful work in a minute, what is the power output of the turbine?
A wind turbine has 3 blades: each of which measure 38 m long and has a mass of 5216 kg. The three blades are mounted at their ends 120 degrees apart on a hub (assume the hub is so small it can be ignored).
a) If the angular velocity is 1.9 rad/s, what is the kinetic energy when it rotates at constant angular velocity?
b) How much work did the wind provide when starting the turbine from ω=0 rad/s if the mechanism generates 10% of the kinetic energy as heat in addition to the kinetic energy of the turbines?
c) If the mechanism of the wind turbine can convert a max of 75% of the kinetic energy of the turbine to useful work in a minute, what is the power output of the turbine?
Definition Definition Rate of change of angular displacement. Angular velocity indicates how fast an object is rotating. It is a vector quantity and has both magnitude and direction. The magnitude of angular velocity is represented by the length of the vector and the direction of angular velocity is represented by the right-hand thumb rule. It is generally represented by ω.
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