A venture tube is used to measure the flow rate of a liquid in a pipe (liquid density is 800 kg/m3). The pipe has a diameter of 10 cm and the smallest diameter of the venture has a diameter of 4 cm. A manometer with a manometer fluid of mercury (specific weight of 133 kN/m3) is used to calculate the flow rate which is connected to the venture section such that one leg is far upstream and the second leg is at the minimum diameter of the venture tube. If the flow rate is 0.05 m3/s determine the elevation change in the manometer fluid.
a. 14.6 m
b. 9.28 m
c. 4.64 m
d. 2.32 m

Answers

Answer 1

Answer:

[tex]\triangle h=4.935m[/tex]

Explanation:

From the question we are told that:

Liquid density [tex]\rho=800[/tex]

Diameter of pipe [tex]d=4cm \approx 0.004m[/tex]

Diameter of venture [tex]d=10cm \approx 0.010m[/tex]

Specific weight of mercury P_mg [tex]133 kN/m^3[/tex]

Flow rate [tex]r=0.05 m^3/s[/tex]

Area A:

            [tex]A_1=\frac{\pi}{4}0.1^2\\A_1=0.00785m^2\\A_2=\frac{\pi}{4}0.04^2\\A_2=0.001256m^2\\[/tex]

Generally the Bernoulli's equation is mathematically given by

[tex]\frac{P_1}{\rho_1g}+\frac{V_1^2}{2g}=\frac{P_2}{\rho g}+\frac{V_2^2}{2g}\\[/tex]

Where

[tex]V_1=\frac{r}{A_1} \\\\ &V_1=\frac{r}{A_2}[/tex]

Therefore

[tex]P_1-P_2=\frac{Pr^2}{2}(\frac{A_1^2-A_2^2}{A_1^2A_2^2})[/tex]

Generally the equation for pressure difference b/w manometer fluid is given as

[tex]P_1-P_2=(p_mg-pg)\triangle h[/tex]

Therefore

[tex](p_mg-pg)\triangle h=\frac{Pr^2}{2}(\frac{A_1^2-A_2^2}{A_1^2A_2^2})[/tex]

[tex]\triangle h=\frac{\frac{Pr^2}{2}(\frac{A_1^2-A_2^2}{A_1^2A_2^2})}{(p_mg-pg)}[/tex]

[tex]\triangle h=\frac{\frac{(800)(0.05)^2}{2}(\frac{(0.1)^2-(0.4)^2}{(0.1)^2(0.04)^2})}{(1.33*10^3-800*9.81)}[/tex]

[tex]\triangle h=4.935m[/tex]

Therefore elevation change is mathematically given by

[tex]\triangle h=4.935m[/tex]


Related Questions

A continuous and aligned hybrid composite consists of aramid and glass fibers embedded within a polymer resin matrix. Compute the longitudinal modulus of elasticity of this material if the respective volume fractions of the aramid and glass fibers are 0.24 and 0.28, given the following data:
Material Modulus of Elasticity (GPa)
Polyester 2.5
Aramid fibers 131
Glass fibers 72.5
(A) 5.06 GPa
(B) 32.6 GPa
(C) 52.9 GPa
(D) 131 GPa​

Answers

Answer:

probably b but not sure

Explanation:

The longitudinal modulus of elasticity of this material if the respective volume fractions of the aramid and glass fibers are 0.24 and 0.28, given the following data is 32.6 GPa.

What is elasticity?

Elasticity is defined as after the forces producing the deformation are eliminated, a material body that has been distorted has the ability to revert to its original size and shape. Metals' atomic lattices undergo size and form changes when forces are applied. When forces are removed, the lattice returns to its initial, lower energy condition. Rubbers and other polymers are elastic because stretching of polymer chains occurs when forces are applied.

Longitudinal modulus are defined as the proportion of a material's length change caused by applied force to its initial length. Young's modulus is a measurement of a material's capacity to endure changes in length when subjected to compression or tension along its length.

Thus, the longitudinal modulus of elasticity of this material if the respective volume fractions of the aramid and glass fibers are 0.24 and 0.28, given the following data is 32.6 GPa.  

To learn more about elasticity, refer to the link below:

https://brainly.com/question/28790459

#SPJ6

This String method removes beginning and ending spaces of the given string.
Solactone​

Answers

Answer:

The trim() method will remove both leading and trailing whitespace from a string and return the result. The original string will remain unchanged. If there is no leading or trailing whitespace to be removed, the original string is returned. Both spaces and tab characters will be removed.

This is very useful when comparing user input with existing data. A programmer often racks his brain for hours trying to figure out why what he enters is not the same as a stored string, only to find out that the difference is only a trailing space. Trimming data prior to comparison will eliminate this problem.

Answer:

String result = str. trim(); The trim() method will remove both leading and trailing whitespace from a string and return the result.

Explanation:

La Patrulla Fronteriza de los Estados Unidos analiza la compra de un helicóptero nuevo para la vigilancia aérea de la frontera de Nuevo México y Texas con la República Mexicana. Hace 4 años se adquirió un helicóptero similar con un costo de $ 140,000.00. con una tasa de interés de 7% anual. Calcula el factor de pago único y el factor valor presente con los datos anteriores con la tabla y fórmula. Dibuja el diagrama de flujo.

Answers

Answer:

The Border Patrol of the United States analyzes the purchase of a new helicopter for the aerial surveillance of the border of New Mexico and Texas with the Mexican Republic. 4 years ago a similar helicopter was purchased at a cost of $ 140,000.00. with an interest rate of 7% per year. Calculate the single payment factor and the present value factor with the above data with the table and formula. Draw the flow chart.

Explanation:

Explain the importance of wearing appropriate protective clothing and equipment (PPE), and keeping the work area safe and tidy

Answers

Answer:

The wearing of appropriate protective clothing and equipment (PPE) and the keeping of the work area safe and tidy achieve the following for the employees and employers: safety from physical and biological harm that may occur as a result of their contact with the work environment; reduces the cost of insurance and other risk management activities.

Explanation:

The personal protective equipment (PPE) is a safety equipment that protects workers from health or safety risks at their various workplaces. The main purpose is to reduce the workers' exposure to environmental hazards. PPE reduces accidents, improves the health of workers, and reduces the spread of contagious diseases.  Above all, it creates safe, secure, and healthy work environments for all.

Describe at least one way you take advantage or could take advantage of each of the different forms of energy

Answers

Answer:

Kinetic energy can be used to develop electric energy which can be used as electricity.

Explanation:

The kinetic energy can be harnessed; much like some hydro power technologies harness water movement. A way to convert this kinetic energy into electric energy is through piezoelectric. By applying a mechanical stress to a piezoelectric crystal or material an electric current will be created and can be harvested.

Kinetic energy is also generated by the human body when it is in motion. Studies have also been done using kinetic energy and then converting it to other types of energy, which is then used to power everything from flashlights to radios and more.

Users of E85 see a drop in gas mileage because ethanol can't produce the same
amount of energy gasoline can. How much of a drop do they see?
Select one:
a. They see a 10-20% drop in gas mileage
b. The statement is wrong. There is no drop in gas mileage.
c. They see a 30-40% drop in gas mileage
d. They see a 20-30% drop in gas mileage

Answers

Answer:

A

Explanation:

Due to ethanol's lower energy content, FFVs operating on E85 get roughly 15% to 27% fewer miles per gallon than when operating on regular gasoline, depending on the ethanol content.


is a water proof material used around tubs and
showers.
A. Cement board
B. Backing board
C. Hard board
D. Finish board

Answers

I think it’s hard board

Answer:

hard bored

Explanation:

it seems like it could be either but I think hard bored

The electron concentration in silicon at T = 300 K is given by
n(x) = 10^16exp(-x/18) cm^-3
where x is measured in μm and is limited to 0 ≤ x ≤ 25 μm. The electron diffusion coefficient is Dn = 25 cm2/s and the electron mobility is μn = 960 cm2/V-s. The total electron current density through the semiconductor is constant and equal to Jn = -40 A/cm2. The electron current has both diffusion and drift current components. Determine the electric field as a function of x which must exist in the semiconductor.

Answers

Answer:

[tex]E=1.44*10^-7-2.6exp(\frac{-x}{18} )v/m[/tex]

Explanation:

From the question we are told that:

Temperature of silicon [tex]T=300k[/tex]

Electron concentration [tex]n(x)=10^{16}\exp (\frac{-x}{18})[/tex]

                                        [tex]\frac{dn}{dx}=(10^{16} *(\frac{-1}{16})\exp\frac{-x}{16})[/tex]

Electron diffusion coefficient is [tex]Dn = 25cm^2/s \approx 2.5*10^{-3}[/tex]

Electron mobility is [tex]\mu n = 960 cm^2/V-s \approx0.096m/V[/tex]

Electron current density [tex]Jn = -40 A/cm^2 \approx -40*10^{4}A/m^2[/tex]

Generally the equation for the semiconductor is mathematically given by

[tex]Jn=qb_n\frac{dn}{dx}+nq \mu E[/tex]

Therefore

[tex]-40*10^{4}=1.6*10^{-19} *(2.5*10^{-3})*(10^{16} *(\frac{-1}{16})\exp\frac{-x}{16})+(10^{16}\exp (\frac{-x}{18}))*1.6*10^{-19}*0.096* E[/tex]

[tex]E=\frac{-2.5*10^-^7 exp(\frac{-x}{18})+40*10^{4}}{1.536*10^-4exp(\frac{-x}{18} )}[/tex]

[tex]E=1.44*10^-7-2.6exp(\frac{-x}{18} )v/m[/tex]

Other Questions
Kelly had 13 cups of strawerries. She wants to divide the strawberries into small daily servings. How many 1/3 cup servings are in the 13 cups of strawberries? whats the answer please i dont need work shown :) How many molecules of Na2O are in 24.6g? Show work! what is every a day on spanish A triangular prism is 12.7 yards long. It has a triangular face with a base of 19 yards. The volume of the prism is 1,894.205 cubic yards. What is the height of its triangular face? Overall, which did you prefer, The Outsiders book or The Outsiders movie? Give at least two reasons to support your claim, and justify your answer in a well-written paragraph.GIVING BRAINLIEST! I bought 3 1/4 lbs of apples, 2 2/3 lbs of oranges, 5 3/4 lbs of peaches and 3 1/3 lbs of bananas. How many pounds of fruit did I buy? How did the African Trading Kingdoms' successes lead to their eventual demise at the hands of the Europeans? What was not a trade region connected to Constantinople ? The shape of a lateral face of a pyramid is always an isosceles triangle? Now that Nigeria have joined the UN, they must agree to sign and follow a number of human rights bills. Which type of globalization is this? If correct i will make u brainliest Hunter tutors students in mathematics to earnmoney. He earns between $50 and $60 eachweek. About 20% of the time he tutors sixthgrade students. Which of the following is areasonable estimate of the amount of moneyHunter will earn during the next 3 weeks tutoringsixth graders? Another word for: not allowed In the United States, the main difference between domestic policy and foreign policy is that domestic policy: A. more often leads to international problems. B. cannot affect the lives of ordinary Americans. C. has more to do with the military. D. is more concerned with American citizens. the ratio of boys to girls in a classroom is 7:5 4 boys are added to the class the ratio is now 1:1 find the total number of girls in the class WHEN THE STATE OF STATES REQUIRES ALL GOVERNMENT MEETINGS MUST BE OPEN TO THE PUBLIC AND ANNOUNCED AT LEAST 48 HOURS IN ADVANCE. THIS IS AN EXAMPLE OF ______________ LAWSAMANDATEDBSUNSETCSUNSHINEDFEDERAL 7 - 1/4 X 12 +(3/4+1/2) + 8 2+2 X 3 = Answer these questions in Spanish. 1. Cul es la fecha de hoy? 2. Cuntos hermanos tienes? 3. Cuntos aos tienen tus hermanos? 4. Cundo es el cumpleaos de tu hermano(a)? 5. Cuntos aos tienes t? 6. Cundo es tu cumpleaos? The general term of a sequence is given by Tn=-5n+6... which term in the sequence will be -269?