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o-na [289]
4 years ago
6

An engineer designing a hydroelectric facility recalls that the flow rate (in gallons per second) is four times the value of the

head (in feet) but has forgotten both numbers. If the facility is expected to produce 1.5 MW of power with an efficiency of 88%, determine both the flow rate (in gal/s) and the head (in ft).

Engineering
2 answers:
GarryVolchara [31]4 years ago
7 0

Answer:

Flow rate = 86.48 gal/s

Head of water = 21.62 ft

Explanation:

Detailed explanation and calculation is shown in the image below.

bekas [8.4K]4 years ago
5 0

Answer: flowrate=505.228

head=101.307ft

Explanation:P=power,m=flowrate,w=work,h=head,g=acceleration due to gravity

P=mw

W=gh

P=1.5×10^6 ×88%

=1320000Watts

g=9.8×3.281 ft/s

=32.154ft/s

m=4h

1320000=32.154×4h^2

4h^2=1320000/32.154

=41052.44

h^2=41052.44/4

=10263.109

h=√10263.109

=101.307ft

m=4h

m=4×101.307

m=405.228gal/s

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For a Cu-Ni alloy containing 53 wt.% Ni and 47 wt.% Cu at 1300°C, calculate the wt.% of the alloy that is solid and wt.% of allo
Zina [86]

Answer:

Hello your question is incomplete attached below is the complete question

answer: wt.% of alloy that is solid = 61.5%

             wt.% of allot that is liquid = 38.5%

Explanation:

To determine the wt.% of the alloy that is solid

= \frac{R}{R +S } * 100

=  \frac{53-45}{58-45} * 100  = 61.5%

To determine the wt.% of the alloy that is liquid

= \frac{S}{S+R} * 100\\

= \frac{58-53}{58-45} *100 = 38.5%

attached below is a free hand sketch as well

7 0
3 years ago
An ideal gas turbine operates using air coming at 355C and 350 kPa at a flow rate of 2.0 kg/s. Find the rate work output
GuDViN [60]

Answer:

The rate of work output = -396.17 kJ/s

Explanation:

Here we have the given parameters

Initial temperature, T₁ = 355°C = 628.15 K

Initial pressure, P₁ = 350 kPa

h₁ = 763.088 kJ/kg

s₁ = 4.287 kJ/(kg·K)

Assuming an isentropic system, from tables, we look for the saturation temperature of saturated air at 4.287 kJ/(kg·K) which is approximately

h₂ = 79.572 kJ/kg

The saturation temperature at the given

T₂ = 79°C

The rate of work output \dot W = \dot m×c_p×(T₂ - T₁)

Where;

c_p = The specific heat of air at constant pressure = 0.7177 kJ/(kg·K)

\dot m =  The mass flow rate = 2.0 kg/s

Substituting the values, we have;

\dot W = 2.0 × 0.7177 × (79 - 355) = -396.17 kJ/s

\dot W = -396.17 kJ/s

7 0
4 years ago
A unidirectional E-Glass fiber-epoxy composite material contains 61% by volume E-Glass fibers stressed under isostrain condition
zalisa [80]

Answer:

The total load carried by the fiber will be "98%".

Explanation:

The given values are:

V_{f}=0.61

V_{m}=1-V_{f}

     =1-0.61

     =0.39

E_{f}=10 \ Mpa

\sigma_{f}=0.35 \ Mpa

E_{m}=0.45 \ Mpa , \sigma_{m}=9\times 10^{-3} \ Mpa

As we know,

⇒  E_{e}=fE_{f}+mE_{m}

On putting the estimated values, we get

⇒       =0.61\times 10+0.39\times 0.95

⇒       =6.27 \ Mpa

Now,

⇒  \sigma_{c}=f\sigma_{f}+m\sigma_{m}

On putting the estimated values, we get

⇒       =0.61\times 0.35+0.39\times 0.009

⇒       =0.217 \ Mpa

Therefore,

The load carried by fiber,

=\frac{f\sigma_{f}}{\sigma_{c}}

=\frac{0.35\times 0.61}{0.217}

=0.98 i.e., 98%

4 0
4 years ago
For a metal that has an electrical conductivity of 6.1 × 107 (Ω∙m)–1, what is the resistance of a wire that is 4.3 mm in diamete
kotegsom [21]

Answer: (C) 9.14 . 10⁻³ Ω

Explanation:

The resistance of a resistor, is proportional to his length and inversely proportional to his area, being the proportionality constant a property of the material, called resistivity.

The resistivity  is defined as the inverse of  the electrical conductivity, which depends on the number of charge carriers  and the mobility of these carriers, which is different for each material.

So, we can calculate the resistance as follows:

R = 1/σ . L / A, where:

σ = electrical conductivity, l= length of the wire , A = wire cross-section (assumed circular).

Replacing by the values, we can calculate R as follows:

R = 1/6.1. 10⁷ (Ω.m) . 8.1 m. / π (0.0043)² m / 4 = 9.14 . 10⁻³ Ω

7 0
3 years ago
Liquidated damages are intended to represent anticipated losses to the owner based upon circumstances existing at the time the c
Ganezh [65]

Answer:

1. Loss of income.

2. Rental costs.

3. Utility bills.

4. Loss of rent.

5. Storage costs.

Explanation:

Liquidated damages can be defined as pre-determined damages or clauses that are highlighted or indicated at the time of entering into a contract between a contractor and a client which is mainly based on evaluation of the actual loss the client may incur should the contractor fail to meet the agreed completion date.

Generally, liquidated damages are meant to be fair rather than being a penalty or punitive to the defaulter. It is usually calculated on a daily basis for the loss.

When entering into a contract with another, liquidated damages are intended to represent anticipated losses to the owner based upon circumstances existing at the time the contract was made.

Listed below are five (5) types of potential losses to the owner that would qualify for determination of such potential losses;

1. Loss of income.

2. Rental costs.

3. Utility bills.

4. Loss of rent.

5. Storage costs.

4 0
3 years ago
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