he power output of the turbine is directly proportional to the kinetic energy of the airpassing the blades each second.Describe the effect on the power output when the wind speed is halved.__________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________(3)Page 30 of 34Energy (H)PhysicsAndMathsTutor.com
Question
he power output of the turbine is directly proportional to the kinetic energy of the airpassing the blades each second.Describe the effect on the power output when the wind speed is halved.__________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________(3)Page 30 of 34Energy (H)PhysicsAndMathsTutor.com
Solution
The power output of a wind turbine is directly proportional to the kinetic energy of the air passing through the blades. The kinetic energy (KE) of an object is given by the formula KE = 1/2mv^2, where m is the mass and v is the velocity (in this case, wind speed).
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When the wind speed is halved, the velocity in the kinetic energy formula is also halved.
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Since the velocity is squared in the formula, halving the wind speed actually reduces the kinetic energy to one-fourth of its original value.
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Because the power output is directly proportional to the kinetic energy, the power output will also reduce to one-fourth of its original value when the wind speed is halved.
Therefore, halving the wind speed significantly reduces the power output of the turbine.
Similar Questions
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