The original 5 MW, three-bladed HAWT, made by RE Systems has a tip diameter of 126.3 m

and a rated wind speed of 13 m/s. The cut-in wind speed was 3.5 m/s and the onshore cut-out

wind speed is 25 m/s. Determine the rated value of the power coefficient Cp and compare this

with the value at the Betz limit. Assume the air density ? 1.2 kg/m3

.

2. For the preceding problem, using actuator disc theory, determine the axial flow induction factor,

a, and the static pressure difference across the disc at the rated wind speed.

3. A horizontal axis wind turbine with a hub height of 80 m and blades of 80 m diameter develops

1.824 MW in a wind of 12 m/s with a blade tip-speed ratio of 4.5. Determine

(a) the power coefficient, the relative maximum power coefficient, and the rotational speed;

(b) for the same wind speed at 80 m height the wind speed that could be expected at a height of

150 m and, if the hub height was raised to that level, the likely power output if the power

coefficient remains the same.

Assume the density is constant at 1.2 kg/m3 and that the one-seventh power law applies.

4. A three-bladed HAWT with a rotor of 60 m diameter operates with a tip-speed ratio, J 5.5. At a

radius of 25 m the blade chord is 1.5 m and the blade pitch angle, ? 2.5. Assuming negligible

drag and using an iterative method of calculation, determine values for the axial and tangential

induction factors a and a0 at that section. Assuming that CL is 0.1 angle of incidence, what is

the final value of the lift coefficient

Question 9 When is pooling used for two-sample inferences on proportions? with neither confidence intervals nor hypothesis tests with confidence intervals only O with both confidence intervals and hypothesis tests O with hypothesis tests only(ii) Use R to simulate each of the processes in R and estimate the parameters and compare them with actual parameters in your models. Check the time series plot and acf plots for each process and examine each model carefully and report your observations. (1) {1 0.53 +.[1639)Xt = (1 B}Zt. (ii) {1 memo = zt. (iii) (1 033632)};1 = 2,; 0.7ZH. 3. What is the typical amount of time 20-to 24-year-old males spend brushing their teeth? O A. Confidence Interval of the Mean O B. Hypothesis Test of the Mean O C. Hypothesis Test of the Proportion O D. Hypothesis Test of two Proportions O E. Hypothesis Test of two Means (Dependent) OF. Confidence Interval of the Proportion O G. Hypothesis Test of two Means (Independent) 4. A researcher wants to know if the mean noise level someone can tolerate before hearing ringing in their ears is less than 85 dB(A) O A. Confidence Interval of the Mean O B. Hypothesis Test of the Mean O C. Hypothesis Test of the Proportion O D. Confidence Interval of the Proportion O E. Hypothesis Test of two Proportions OF. Hypothesis Test of two Means (Dependent) O G. Hypothesis Test of two Means (Independent)3. (25 points) Section 4.5 describes how to use R to draw functions. In this problem, use R to plot the hyperbola . Your code needs to draw exactly the same as the gure with the title, the illustration inside the rectangle windows, and the illustrations of x-axis and y-axis. mml-y'-'I