Answer :
Final answer:
To calculate the magnitude of the moment at point Z in a wind turbine, we need to calculate the force Ft acting on the tower and then use the equation M = F * h. Substituting the given values and equations, we can find that the magnitude of the moment at point Z is 47.109.2 Nm.
Explanation:
To determine the magnitude of the moment acting at point Z, we need to calculate the force Ft acting on the tower. Using the given equation Ft = Cd * A * p * v^2/2, we can substitute the values: Cd = 1.2, A = 700 m^2, p = 1.2 kg/m^3, and v = 7.4 m/s. Calculating Ft, we get:
Ft = 1.2 * 700 * 1.2 * 7.4^2 / 2 = 2211.84 N
To find the magnitude of the moment at point Z, we can use the equation M = F * h, where F is the total force acting on the tower (Fg + Ft) and h is the height of the tower (H/2). Substituting the values, we have:
M = (47 + 2211.84) * (40/2) = 47.109.2 Nm
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