answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
balu736
3 months ago
13

A fireboat is to fight fires at coastal areas by drawing seawater with a density of 1030 kg/m through a 20-cm-diameter pipe at a

rate of 0.1 m /s and discharging it through a hose nozzle with an exit diameter of 5 cm. The total irreversible head loss of the system is 3 m, and the position of the nozzle is 3 m above sea level. For a pump efficiency of 70 percent, determine the required shaft power input to the pump and the water discharge velocity.
Engineering
1 answer:
grin007 [323]3 months ago
3 0

Answer:

A. 50.93 m/s

B. 201 kW

Explanation:

The pump moves a volume of 0.1 m³ of water every second. The diameter of the nozzle is 5 cm, which translates to 0.05 m, or a radius of 2.5 cm, equivalent to 0.025 m. Thus, the cross-sectional area of the nozzle is calculated as A = πr²

π×0.025²

= 0.001963 m²

Consequently, for 0.1 m³ to pass through this nozzle in 1 second, the velocity must be

0.1 / 0.001963

= 50.93 m/s

The pump is designed to provide energy to water to lift it 4 m above sea level to the nozzle and to accelerate it from rest to 50.93 m/s through the nozzle. Assuming no energy losses, the dynamic energy of the water equals the potential energy it would possess if it remained stationary at a height h.

P.E = k.E

mgh = 0.5mv²

h = v² / 2g

h = 50.93² / (2 × 9.81)

h = 132.21 m

Thus, to facilitate the acceleration of water, a head of 132.21 m is required. The static head is 4 m since the nozzle is raised 4 m above sea level, with an additional heads loss of 3 m due to friction along the system. Therefore, the total head the pump needs to deliver is

132.21 + 4 + 3

= 139.21 m

Using the relationship density = mass / volume implies that mass = density × volume.

The pump moves water at a rate of 0.1 m³ per second. Therefore, in one second, the mass of the water pumped is

0.1 × 1030 = 103 kg

The overall energy transferred from the pump to the water corresponds to

Potential energy, which is expressed as = mgh

= 103 × 9.81 × 139.21

= 140,662.0 Nm/s

= 140,662.0 Watts

However, since the pump operates at 70% efficiency, we find

140,662 = 0.7P where P is the power rendered to the pump

Thus, P = 140,662 / 0.7

= 200,946 Watts

= 201 kW

You might be interested in
A four-cylinder, four-stroke internal combustion engine has a bore of 3.7 in. and a stroke of 3.4 in. The clearance volume is 16
iogann1982 [368]
1) The three possible assumptions are

a) All processes are internally reversible

b) Air, as the working fluid, circulates in a closed-loop

cycle

c) Combustion is represented as a heat-adding process

2) Diagrams are included

5) The net work per cycle is 845.88 kJ/kg

The horsepower produced is approximately 45374 hP

Explanation:

1) The three valid assumptions are

a) All processes are internally reversible

b) Air, the working fluid, moves continuously in a closed-loop

cycle

c) The combustion process is set as a heat addition step

2) Diagrams for illustration are provided

5) The cylinder bore diameter measures 3.7 in., equating to 0.09398 m

The stroke length is 3.4 in., approximately 0.08636 m.

The cylinder volume is calculated as v₁= 0.08636 ×(0.09398²)/4 = 5.99×10⁻⁴ m³

The clearance volume amounts to 16% of the cylinder volume = 0.16×5.99×10⁻⁴ m³

The clearance volume, v₂  is 9.59 × 10⁻⁵ m³

p₁ is 14.5 lbf/in.² = 99973.981 Pa

T₁ equals 60 F = 288.706 K

\dfrac{T_{2}}{T_{1}} = \left (\dfrac{v_{1}}{v_{2}} \right )^{K-1}

For the Otto cycle's T-S diagram,

T₂ calculates to 288.706*6.25^{0.393} = 592.984 K

The peak temperature is T₃ = 5200 R = 2888.89 K

\dfrac{T_{3}}{T_{4}} = \left (\dfrac{v_{4}}{v_{3}} \right )^{K-1}

T₄ resolves to 2888.89 / 6.25^{0.393} = 1406.5 K

Work performed, W = c_v×(T₃ - T₂) - c_v×(T₄ - T₁)

0.718×(2888.89  - 592.984) - 0.718×(1406.5 - 288.706) = 845.88 kJ/kg

The power generated in the Otto cycle = W×Cycle per second

= 845.88 × 2400 / 60  = 33,835.377 kW = 45373.99 ≈ 45374 hP.

8 0
2 months ago
Theorems of Pappus and Guldinus are used to find: a. The surface area and volume of a body of rotation b. The surface area and v
mote1985 [299]
The correct answer is option (a), which pertains to the surface area and volume of a body generated through rotation. The theorems introduced by Pappus and Guldinus apply specifically to the calculation of such areas and volumes resulting from a 2-D curve or shape's revolution.
6 0
1 month ago
Universal Containers (UC) has a requirement to expose a web service to their business partners. The web service will be used to
pantera1 [306]

Answer:

"- Adjust the Orders object's sharing settings to Private in the Org-Wide Defaults

_Assign a separate Salesforce login to each partner, ensuring API access is enabled on their profile

-Create a custom Apex web service utilizing the "With Sharing" clause"

Explanation:

Universal Containers (UC) needs to set up a web service for their business partners. This web service will permit each partner to access UC's Salesforce instance to check the status of orders. Access should be limited to orders for which the partner is the designated fulfillment vendor. The Architect prefers a custom API solution instead of standard APIs. What three design factors should be considered by the Architect to ensure the solution's data security?

A. Use Dynamic SOQL to query the Orders object based on fulfillment ID.

B. Adjust the Orders object's sharing settings to Private in the Org-Wide Defaults.

C. Provide each partner with their individual Salesforce login set to API Enabled on the profile.

D. Develop a custom Apex web service that requires a fulfillment ID input attribute.

E. Implement a custom Apex web service employing the "With Sharing" clause.

The subsequent points should follow up on the inquiry

To ensure data security, the Architect should take into account the following design strategies

"- Set Orders object's sharing settings to Private within the Org-Wide Defaults

_Assign each partner a distinct Salesforce login with API access enabled on their profile

-Create a custom Apex web service utilizing the "With Sharing" clause"

There’s a need to establish some sharing rule between the architect and the user

3 0
2 months ago
Shows a closed tank holding air and oil to which is connected a U-tube mercury manometer and a pressure gage. Determine the read
Daniel [329]
To determine the pressure gauge reading, we note that the closed tank filled with oil and air has a pressure of P₁, where the oil's pressure at a specific height in the U-tube of mercury is p₁gh₁, and the mercury pressure acting on the air in the gauge is p₂gh₂. Thus, we aim to find P₁-P₂, assuming equal heights: h₁=h₂=h.
3 0
1 month ago
Other questions:
  • A shopaholic has to buy a pair of jeans , a pair of shoes l,a skirt and a top with budgeted dollar.Given the quantity of each pr
    7·1 answer
  • An 80-L vessel contains 4 kg of refrigerant-134a at a pressure of 160kPa. Determine (a) the temperature, (b) the quality, (c) th
    11·1 answer
  • Write a program with total change amount as an integer input, and output the change using the fewest coins, one coin type per li
    15·1 answer
  • A long, circular aluminum rod is attached at one end to a heated wall and transfers heat by convection to a cold fluid.
    12·1 answer
  • Consider a process carried out on 1.00 mol of a monatomic ideal gas by the following two different pathways.
    13·1 answer
  • The basic barometer can be used to measure the height of a building. If the barometric readings at the top and the bottom of a b
    15·1 answer
  • In a heat-treating process, a 1-kg metal part, initially at 1075 K, is quenched in a closed tank containing 100 kg of water, ini
    10·1 answer
  • Consider a very long, slender rod. One end of the rod is attached to a base surface maintained at Tb, while the surface of the r
    8·1 answer
  • A tank contains 500 kg of a liquid whose specific gravity is 2. Determine the volume of the liquid in the tank.
    12·1 answer
  • A solid steel shaft has to transmit 100 kW at 160 RPM. Taking allowable shear stress at 70 Mpa, find the suitable diameter of th
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!