1answer.
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
vazorg [7]
3 years ago
12

5. The water in an 8-m-diameter, 3-m-high above-ground swimming pool is to be emptied by unplugging a 3-cm-diameter, 25-m-long h

orizontal pipe attached to the bottom of the pool. Determine the maximum discharge rate of water through the pipe. Also, explain why the actual flow rate will be less.
Engineering
1 answer:
frosja888 [35]3 years ago
7 0

Answer:

The maximum discharge rate of water through the pipe is 0.00545 m³/s or 5.45 L/s.

Friction head and pressure head will cause the actual flow rate to be less.

Explanation:

Considering point 1 at the free surface of the pool, and point 2 at the exit of

pipe.

Using Bernoulli equation between

these two points simplifies to

P1/(p*g) + V1²/2g + z1 = P2/(p*g) + V2²/2g + z2

Let the reference level at the pipe exit (z2 = 0). Noting that the fluid at both points is open to the atmosphere (and thus P1 = P2 = Patm) and that the fluid velocity at the free surface is very low (V1 ≅ 0),

P/(p*g) + z1 = P/(p*g) + V2²/2g

z1 = V2²/2g

Note; z1 = h

V2max = √2gh

h = 3 m

V2max = √2 * 9.81 * 3

V2max = √58.86 = 7.67 m/s

maximum discharge rate of water through the pipe Qmax = Area A * Velocity of discharge V2max

Qmax = A * V2max

Diameter d = 3 cm = 0.03 m

A = Πd²/4 = (Π * 0.03²)/4 = 0.00071m³

Qmax = 0.00071 * 7.67 = 0.00545 m³/s

Qmax = 5.45 L/s

The maximum discharge rate of water through the pipe is 0.00545 m³/s or 5.45 L/s.

Actual flow rate will be less because of heads such as friction head and pressure head.

You might be interested in
The coefficient of static friction for both wedge surfaces is μw=0.4 and that between the 27-kg concrete block and the β=20° inc
balandron [24]

Assuming  the wedge has an angle of 5°.The minimum value of the force P that is required to begin moving the block up the incline is: 322.84 N.

<h3>Minimum value of force P</h3>

First step

Using this formula to find the weight of the block

W=mg

W=27×9.81

W=264.87 N

Second step

Angles of friction ∅A and ∅B

∅A=tan^-1(μA)

∅A=tan^-1(0.70)

∅A=34.99°

∅B=tan^-1(μB)

∅B=tan^-1(0.40)

∅B=21.80°

Third step

Equate the sum of forces in m-direction to 0 in order to find the reaction force at B.

∑fm=0

W sin (∅A+20°)  + RB cos (∅B+∅A)=0

264.87 sin(34.99°+20°) + RB cos (21.80°+34.99°)=0

216.94+0.5477Rb=0

RB=216.94/0.5477

RB=396.09 N

Fourth step

Equate the sum of forces in x-direction to 0 in order to find force Rc.

∑fx=0

RB cos (∅B) - RC cos (∅B+ 5°)=0

396.09 cos(21.80°) - RC cos (21.80°+5°)=0

RC=396.09 cos(21.80°)/cos(26.80°)

RC=412.02 N

Last step

Equate the sum of forces in y-direction to 0 in order to find force P required to move the block up the incline.

∑fy=0

RB sin (∅B) + RC sin (∅B)-P=0

P=Rb sin (∅B) + RC sin (5°+∅B)

P=396.09 sin(21.80°) +412.02sin (5°+21.80°)

P=322.84 N

Inconclusion the minimum value of the force P that is required to begin moving the block up the incline is: 322.84 N.

Learn more about Minimum value of force P here:brainly.com/question/20522149

7 0
2 years ago
Select the best answer for the question.
dalvyx [7]
I think the Acid level
5 0
3 years ago
Can someone tell me what car year and model this is please
Arlecino [84]

Answer:

i think 1844

Explanation:

5 0
3 years ago
Read 2 more answers
Imagine you are making a pizza, you start of with the dough for the crust in a large ball. You then begin to roll out the pizza
DochEvi [55]

Answer: The force exerted on the dough.

Explanation:

The force is responsible for stimulating the stress.

Recall that:

stress= Tensile force/area.

5 0
2 years ago
Technician A says that a pilot bearing should always be replaced when a clutch is replaced. Technician B says that oft-dampened
grigory [225]

There are different kinds of care given to machine parts. Technician A says that a pilot bearing should always be replaced when a clutch is replaced is a true statement and thus is the only correct one.

<h3>When should I replace my pilot bearing?</h3>
  • If one notice vibration on the clutch pedal, it is shows that it is worn-out bearing and thus needs changing.

Most times, pilot bearing is often replaced as kind of precautionary measure that is taken when clutch is replaced.

Torsional vibrations are said to be vibrations due to firing force twisting and accelerating of the crankshafts when a cylinder fires and cannot be absorbed by oft-dampened clutches.

Learn more about Machine parts from

brainly.com/question/835153

5 0
2 years ago
Other questions:
  • What is the difference between absolute and gage pressure?
    11·1 answer
  • The time delay of a long-distance call can be determined by multiplying a small fixed constant by the number of communication li
    7·1 answer
  • Block A is released from rest and slides down the frictionless ramp to the loop. The maximum height h of the loop is the same as
    6·1 answer
  • Question 54 (1 point)
    11·2 answers
  • Tim was recently released from his last job. He was very rigid and would not change a product design once he began a project. He
    7·1 answer
  • Ok there..............................................
    6·1 answer
  • Multimeter and the LCD is showing Hz. What's she measuring?
    11·1 answer
  • Of the core elements of successful safety and health programs, Management Leadership, Worker Participation, and what else relate
    10·2 answers
  • If most wildfires are suppressed (all fires are put out) for many years, how does the risk of wildfire in the area change in the
    10·1 answer
  • Why is California a good place for engineers to build suspension bridges?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!