Commercially available large wind turbines blade span diameters larger than 100 m and over 3 MW of electric power at peak design have generate conditions. Consider a wind turbine with a 75-m blade span subjected to 25-km/h steady winds. If the combined turbine–generator effi- ciency of the wind turbine is 32 percent, determine (a) the power generated by the turbine and (b) the horizontal force exerted by the wind on the supporting mast of the turbine. Take the density of air to be 1.25 kg/m3, and disregard frictional effects on the mast.

Answers

Answer 1

The horizontal force that was exerted by the wind on the mast based on the power is 67.3KN.

What is the force?

Blade Stan, d = 75m

Radius of Blade, r = 75m

wind velocity, V = 30 km/h V = 8.333 m/s

Turbine Generator efficiency or Power Co-efficient ((p) = 32% 0.32.

Flow rate across the turbine (in) = 125X8.333X X (75) 2 m

= 46017.583 kg/s

Air Exit velocity, Ve = V×√1 - Nterbine

Ve = 8.333 x √1 1- 0.32

Ve = 6.872 mls

Horizental force in x-direction (F); -

Fx = m (ve-v)

Fx = 46017-583X(6-872-8.333) = 67265.381 N

The Horizental force Extered on the Supporting mast F = -F F= 67.2654 KN

Learn more about power on:

https://brainly.com/question/2248465

#SPJ1

Determine the horizontal force that was exerted by the wind on the mast base


Related Questions

A metal wire, fixed at one end, has length l and cross-sectional area A. The wire extends a distance e which mass m is hung from the other end of the wire.What is an expression for the Young Modulus E of the metal?

Answers

The expression for the Young Modulus E of the metal is E = mgl / Ae. The Young Modulus E of the metal is calculated using the equation  E = (F l) / (A e2 m), where F is the force applied to the wire.


To find the expression for the Young modulus E of a metal wire with length l, cross-sectional area A, and mass m hung from the other end of the wire, we need to use the following formula:Stress (σ) = Load (F) / Area (A)Strain (ε) = Extension (Δl) / Original length (l)Young Modulus (E) = Stress (σ) / Strain (ε)We know that the metal wire is fixed at one end and the wire extends a distance e when a mass m is hung from the other end of the wire. Therefore, the extension Δl is equal to e.

Let's assume that g is the acceleration due to gravity. Therefore, the load F is equal to m * g.Substituting the values of F, A, and Δl in the above formula, we get:Stress (σ) = F / A = (m * g) / AStrain (ε) = Δl / l = e / lYoung Modulus (E) = Stress (σ) / Strain (ε)= (m * g) / (A * e / l) = mgl / AeTherefore, an expression for the Young Modulus E of the metal is E = mgl / Ae.

For more such questions on metal

https://brainly.com/question/10537765

#SPJ11

3. Large amplitude vibrations produced when the of receiver of the applied forced vibration matches the

Answers

An object's amplitude dramatically increases when the frequency of the applied forced vibrations matches the object's natural frequency. Resonance describes this behavior.

Theory A wave's amplitude directly relates to the quantity of energy it can carry. A wave with a high amplitude carries a lot of energy, whereas one with a low amplitude carries only a little. A wave's strength is determined by the typical energy that moves through a given area in a certain amount of time and in a particular direction.The sound wave's amplitude grows in proportion to its strength. We perceive louder noises to be of higher intensity. Comparative sound intensities are frequently expressed using decibels (dB)

For more information on amplitude of vibration kindly visit to

https://brainly.com/question/1380029

#SPJ1

Two pieces of clay, one white and one gray, are thrown through the air. The
m
white clay has a momentum of 25 kg, and the gray clay has a
S
momentum of -30 kg immediately before they collide.
What is the magnitude and direction of their final momentum immediately
after the collision?
Your answer should have one significant figure.
h
kg.
m
-
m
S
S

Answers

we can't give a specific direction for the final momentum.

What is momentum?

Momentum is a physical quantity that describes the motion of an object. It is defined as the product of an object's mass and its velocity. Mathematically, momentum is expressed as:

Momentum (p) = mass (m) x velocity (v)

p = m x v

To solve this problem, we need to apply the law of conservation of momentum, which states that the total momentum of a system remains constant if no external forces act on it.

The initial total momentum of the system is:

p_initial = p_white + p_gray = 25 kg m/s - 30 kg m/s = -5 kg m/s

Since there are no external forces acting on the system, the total momentum of the system after the collision must also be -5 kg m/s. Therefore, the final momentum of the system is:

p_final = -5 kg m/s

The direction of the final momentum can be found by looking at the directions of the initial momenta. Since the white clay has positive momentum and the gray clay has negative momentum, we can say that the white clay is moving to the right and the gray clay is moving to the left before the collision.

During the collision, the two clays will exert forces on each other, causing them to change direction and possibly even break apart. Without more information about the collision, we can't say for sure what the direction of the final momentum will be. It could be to the left or to the right, or some combination of the two. Therefore, we can't give a specific direction for the final momentum.

To know more about Magnitude visit:-

https://brainly.com/question/24468862

#SPJ1

Estimat the number and wattage of lamps. which would be required to illuminate a workshop space 60x1.5 meteres by means of lamps mounted 5 metres above the working Plane The average illumination required is about 100 wt. coefficient of utilisation = 0.4 luminous efficiency 16 lumens per watt. Assume a space-height ratio of unity and a cundle Power depreciation of 20%​

Answers

The number and wattage of lamps required to illuminate the workshop would be approximately 8 lamps and 70 watts respectively.

Wattage calculation

To estimate the number and wattage of lamps required to illuminate a workshop space of 60x1.5 meters, we can follow these steps:

Calculate the area of the workshop:

Area = length x widthArea = 60m x 1.5mArea = 90 square meters

Determine the total lumens required:

Lumens = area x average illuminationLumens = 90 sq m x 100 luxLumens = 9000 lumens

Adjust for the coefficient of utilization and luminous efficiency:

Effective lumens = lumens / (coefficient of utilization x luminous efficiency)Effective lumens = 9000 / (0.4 x 16)Effective lumens = 1406.25 lumens

Adjust for space-height ratio and candle power depreciation:

Effective lumens per lamp = effective lumens x space-height ratio x (1 - depreciation)Effective lumens per lamp = 1406.25 x 1 x (1 - 0.2)Effective lumens per lamp = 1125 lumens

Determine the number of lamps required:

Number of lamps = total lumens required / effective lumens per lampNumber of lamps = 9000 / 1125Number of lamps = 8 lamps (rounded up)

Determine the wattage of each lamp:

Wattage per lamp = effective lumens per lamp / luminous efficiencyWattage per lamp = 1125 / 16Wattage per lamp = 70.3 watts (rounded up)

Therefore, approximately 8 lamps with a wattage of 70 watts each would be required to illuminate the workshop space.

More on wattage can be found here: https://brainly.com/question/14667843

#SPJ1

125cm³ of a gas was collected at 15 °C and 755 mm of mercury pressure. Calculate the volume of the gas that will be collected at standard temperature and pressure

Answers

Answer:

119,2 см³

Explanation:

по формуле Клопейрона (P1×V1):T1=(P2×V2):T2

если из этой формулы найти V2, ответ будет равен примерно на 119,2 см³

Other Questions
What is marginal product defined as? when your father was born 52 years ago, his grandparents deposited $300 in an account for him. today, that account is worth $20,000. what was the annual rate of return on this account? Convert each number to scientific notation and perform the indicated operations. Express the result in ordinary decimal notation. besides using existing graphics, what is one other approach to procuring graphics, according to chapter 8? Suppose Z follows the standard normal distribution. Calculate the following probabilities using the ALEKS calculator. Round your responses to at least three decimal places. (a) P(Z < 0.79) = 5 ? (b) P(Z > 0.75) (c) P(-1.06 < Z< 2.17) = what is juliet prepared to do rather than marry paris? what was the primary purpose of the neutrality acts passed by the united states during the 1930s? change these fractions to decimals 1/35 4. Identify one effect the caste system had on Hindusduring the Gupta Empire.(1) Hindus followed their caste-duty to bereincarnated in a higher caste.(2) Hindu missionaries were sent throughout Asiaand the Middle East to spread the religion.(3) Hindus followed Siddhartha Gautama's teachingto guide their lives(4) Hindus believed that no matter what they did,they would be reborn in the same caste in thenext life. public class RowvColumn{public static void main(String[] args){/**This program compares the run-time between row-major and column major* ordering.*///creating a 2d Arrayint[][] twoD = new int[5000][5000];long start = System.currentTimeMillis();for (int row = 0 ; row < twoD.length; row++){for (int col = 0; col < twoD[row].length; col++){twoD[row][col] = row + col;}}long mid = System.currentTimeMillis();for (int row = 0; row < twoD.length; row++){for (int col = 0; col < twoD[row].length; col++){twoD[col][row] = row + col;}}long end = System.currentTimeMillis();System.out.println("Speed to traverse Row-Major (Milliseconds): " + (mid - start));System.out.println("Speed to traverse Column-Major (Milliseconds): " + (end-mid));}}Using the example code from Row vs. Column Major, answer the following questions in complete sentences:Is Row-Major or Column-Major order faster? Why do you think that is. Please explain using execution counts.In what scenario would you use Row-Major ordering when traversing a 2D array? In what scenario would you use Column-Major ordering? please select the aoii shorthand term that matches the definition. a member who previously served as an international president A self fulfilling prophecy is a example of which motivational theory Find the interest refund on a 35-month loan with interest of $2,802 if the loan is paid in full with 13 months remaining. Using the two-key encryption method for authentication, we need to be careful about how the keys are used. Select all correct answers regarding key usage in authentication from the list below.Public key management is very important because we use public keys to authenticate others in conducting e-business.Only the pair of one user's two keys is used for encryption and decryption. An example of an expatriate is aA. person born in the United States and currently a Japanese citizen working in Japan.B. person born in Germany but currently a U.S.citizen working in the United States.C. Japanese citizen working in Japan for a Japanese firm.D. U.S. citizen working for a Japanese firm in the United States.E. U.S. citizen working for a U.S. firm in Germany when firms outsource software work outside their national borders, this practice is called __________. Find the value of x. 1(1/2)= 1 1/2 draw number line and represent this A disk is rotating at 2 rev/sec. The disk has a moment of inertia of 25 kg m2. If an identical, non-rotating disk, which has a moment of inertia exactly as large, is dropped onto the rotating disk, what will be the new rotational speed of the combined rotating object? Does someone mind helping me with this problem? Thank you!