Sustainable Energy
2nd Edition
ISBN: 9781337551663
Author: DUNLAP, Richard A.
Publisher: Cengage,
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A 6-MW offshore wind turbine has a capacity factor of 40%. It has a height of 120 m, and 107-m long blades. The angular acceleration is 1.17 rad/s2. Assume that the distance from the center of the turbine to the connection with the blade is negligible, and that the turbine starts from rest. At t = 12 s, calculate the velocity and the acceleration for points (a) at half the length and (b) at the tip of the blade.
Q2/ The 150 box being pulled in 14 sec by the
M
winch M, If the winch efficiency is e = 0.65 and
the power input is 20 Kw. Determine the speed
of the box if the coefficient of kinetic friction
between the box and the plane is uk = 0.2.
uestion
Why do we rotate the model manually? (check all that apply)
O To vary the wind speed at different angles
V To calculate the torque produced at different angles
To calculate how many blades our model should have
To overcome the limitation of the steady-state calculation
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- Q3:- A steel propeller shaft is to transmit 4.5 MW at 180rpm without exceeding a shearing stress of 50 MPa or twisting through more than 1° in a length of 26 diameters. Compute the proper diameter if G=83 GPa.arrow_forwardA wind turbine with an extraction ratio (torque power/drag power) of 1.05 rotates at 0.53 rad/s in a wind with velocity 16m/s. The disc area is 345 sq m and the torque generated is 814 kNm. Taking air density as 1.20 kg/m/m/m, calculate the advance angle at the blade tip, assuming flow arrives at the disc axially. Express your answer in degrees.arrow_forwardf) Which pitch angle would produce the greatest output from the wind turbine? 1- 15° 2- 30° 3- 45° 4- 60°arrow_forward
- Calculate the power available in the wind and the rotor power when the blade length for the turbine is given 42 m and the wind speed is 11 m/s. The power coefficient of blades is 0.4, generator efficiency is 85 % while gear box efficiency is 0.8, air density is 1.225 kg/m³. Power available in the wind Power available in the rotorarrow_forwardA solid steel shaft 5 m long is stressed at 80 MPa when twisted through 4°. Use G = 83 GPa. Compute the shaft diameter. What power can be transmitted by the shaft at 20 Hz?arrow_forwardFluid Mechanics : Energy and Power: An engineer is considering the development of a small wind turbine (D=1.25m) for home applications. The design wind speed is 15 mph(6.706m/s) at 10oC and 0.9 bar (90kPa). The efficiency of the turbine is 20%, that is 20% of the kinetic energy of the wind can be extracted. Estimate the power in watts that can be produced by the turbine. Hints: 1) In the time interval delta t, the amount of mass that flows through the rotor is: delta m = mdot delta t 2) The kinetic energy in the flow is: (delta m V2/2)arrow_forward
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- Problem 1 For the transmission tower shown below. Determine the following (Use any method in solving) 1. Axial Force at Member HK 2. Axial Force at Member AD 2m 4kN 2m H 5kN. 2m E 6kN 2m /A C B 3m 3marrow_forwardA train weighing 1000 KN is being pulled up a 2% grade. The train's resistance is 5N/kN. The train's velocity was increased from 6 to 12 m/s in a distance of 300 m. Compute the maximum power developed by the locomotive. A 450 kW B 600 kw 320 kW 520 kWarrow_forwardTake the density of air to be 1.25 kg/m³, and disregard fric- 13-42 Commercially available large wind turbines have blade span diameters larger than 100 m and generate over 3 MW of electric power at peak design conditions. Consider a wind turbine with a 60-m blade span subjected to 30-km/h steady winds. If the combined turbine-generator exerted by the wind on the supporting mast of the turbine. power generated by the turbine and (b) the horizontal force efficiency of the wind turbine is 32 percent, determine (a) the tional effects on mast. 30 km/h 60 m FIGURE P13-42arrow_forward
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