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yanalaym [24]
3 years ago
11

A rectangular region ABCD is to be built inside a semicircle of radius 10 m with points A and B on the line for the diameter and

points C and D on the semicircle with CD parallel to AB. The objective is to find the height h * that maximizes the area of ABCD.
Formulate the optimization problem.
Engineering
1 answer:
Talja [164]3 years ago
7 0

Answer:A rectangular region ABCD is to be built inside a semicircle of radius 10 m with points A and B on the line for the diameter and points C and D on the semicircle with CD parallel to AB. The objective is to find the height h * that maximizes the area of ABCD.

Formulate the optimization problem.

Explanation:A rectangular region ABCD is to be built inside a semicircle of radius 10 m with points A and B on the line for the diameter and points C and D on the semicircle with CD parallel to AB. The objective is to find the height h * that maximizes the area of ABCD.

Formulate the optimization problem.

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Water flows through a horizontal 60 mm diameter galvanized iron pipe at a rate of 0.02 m3/s. If the pressure drop is 135 kPa per
maksim [4K]

Answer:

pipe is old one with increased roughness

Explanation:

discharge is given as

V =\frac{Q}{A} = \frac{ 0.02}{\pi \4 \times (60\times 10^{-3})^2}

V = 7.07  m/s

from bernou;ii's theorem we have

\frac{p_1}{\gamma}  +\frac{V_1^2}{2g} + z_1 = \frac{p_2}{\gamma}  +\frac{V_2^2}{2g} + z_2 + h_l

as we know pipe is horizontal and with constant velocity so we have

\frac{P_1}{\gamma } + \frac{P_2 {\gamma } + \frac{flv^2}{2gD}

P_1 -P_2 = \frac{flv^2}{2gD} \times \gamma

135 \times 10^3 = \frac{f \times 10\times 7.07^2}{2\times 9.81 \times 60 \times 10^{-5}} \times 1000 \times 9.81

solving for friction factor f

f = 0.0324

fro galvanized iron pipe we have \epsilon  = 0.15 mm

\frac{\epsilon}{d} = \frac{0.15}{60} = 0.0025

reynold number is

Re =\frac{Vd}{\nu} = \frac{7.07 \times 60\times 10^{-3}}{1.12\times 10^{-6}}

Re = 378750

from moody chart

For Re = 378750 and \frac{\epsilon}{d} = 0.0025

f_{new} = 0.025

therefore new friction factor is less than old friction factoer hence pipe is not new one

now for Re = 378750 and f = 0.0324

from moody chart

we have \frac{\epsilon}{d} =0.006

\epsilon = 0.006 \times 60

\epsilon = 0.36 mm

thus pipe is old one with increased roughness

5 0
3 years ago
Illinois furniture , Inc produces all types of coffee furniture the executive secretary is a chair that has been designed using
o-na [289]

This question is incomplete, the complete question is;

Illinois furniture , Inc produces all types of office furniture. The "Executive Secretary" is a chair that has been designed using ergonomics to provide comfort during long work hours the chair sells for $130. There are 480 minutes available during the day and the average daily demand has been 50 chairs. There are eight tasks.

TASK     PERFORMANCE TIME( MIN )     TASK MUST FOLLOW TASK LISTED

A                            4                                                     ---------

B                            7                                                     ----------

C                            6                                                        A,B

D                            5                                                          C

E                            6                                                          D

F                            7                                                           E

G                            8                                                          E

H                            8                                                          F,G

1) What is the cycle time for operation?

2) What is the theoretical minimum number of workstation?

Answer:

1) the cycle time for operation is 9.6 min

2) the theoretical minimum number of workstation is 5

Explanation:

Given the data in the question;

production time per day = 480 minutes

average daily demand = 50

Given the data in the question;

1) cycle time for operation

this is simply referred to as the total time for the process from start to finish.

cycle time = production time per day / units demand per day

we substitute

cycle time = 480 min / 50

cycle time = 9.6 min

Therefore, the cycle time for operation is 9.6 min

2) theoretical minimum number of workstation.

theoretical minimum number of workstation = total task time / cycle time

Total task time = ( 4 + 7 + 6 + 5 + 6 + 7 + 8 + 6 ) = 49 min

∴  theoretical minimum number of workstation = 49 min / 9.6 min

theoretical minimum number of workstation = 5.104 ≈ 5

Therefore, the theoretical minimum number of workstation is 5

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3 years ago
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4vir4ik [10]

Answer:

b

Explanation:

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3 years ago
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What type of bond guarantees that if a contractor goes bankrupt on a project the surety will pay the necessary amount to complet
Morgarella [4.7K]

Answer: Payment bond.

Explanation:

A payment bond is a type of guaranteed payment provided for a contractor which ensure that all subcontractors, suppliers, workers etc involved in a project will be duly paid. Payment bond usually comes along with performance bond especially in the construction industry, and it is obtained before the commencement of a construction project. This serves as a form of protection for subcontractors.

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4 years ago
Which of the following types of protective equipment protects workers who are passing by from stray sparks or metal while anothe
natima [27]

Answer:

Fire/Flame resistant clothing and aprons

Explanation:

Individuals working with or around welding equipment are usually required to wear Fire/Flame resistant clothing and aprons which are designed to protect the user from various types of hazards including heat, fires , burns , and sometimes radiation. In this scenario, it would protect the individual from the welding sparks that are produced when welding, which tends to fly all over the place and can catch fire in some cases. These clothes will prevent that from happening.

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