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
nasty-shy [4]
2 years ago
12

An above ground swimming pool of 30 ft diameter and 5 ft depth is to be filled from a garden hose (smooth interior) of length 10

0 ft and diameter 5/8 inch. If the pressure at the faucet to which the hose is attached remains at 55 psi, how long will it take to fill the pool
Physics
1 answer:
STALIN [3.7K]2 years ago
7 0

This question involves the concepts of dynamic pressure, volume flow rate, and flow speed.

It will take "5.1 hours" to fill the pool.

First, we will use the formula for the dynamic pressure to find out the flow speed of water:

P=\frac{1}{2}\rho v^2\\\\v=\sqrt{\frac{2P}{\rho}}

where,

v = flow speed = ?

P = Dynamic Pressure = 55 psi(\frac{6894.76\ Pa}{1\ psi}) = 379212 Pa

\rho = density of water = 1000 kg/m³

Therefore,

v=\sqrt{\frac{2(379212\ Pa)}{1000\ kg/m^3}}

v = 27.54 m/s

Now, we will use the formula for volume flow rate of water coming from the hose to find out the time taken by the pool to be filled:

\frac{V}{t} = Av\\\\t =\frac{V}{Av}

where,

t = time to fill the pool = ?

A = Area of the mouth of hose = \frac{\pi (0.015875\ m)^2}{4} = 1.98 x 10⁻⁴ m²

V = Volume of the pool = (Area of pool)(depth of pool) = A(1.524 m)

V = [\frac{\pi (9.144\ m)^2}{4}][1.524\ m] = 100.1 m³

Therefore,

t = \frac{(100.1\ m^3)}{(1.98\ x\ 10^{-4}\ m^2)(27.54\ m/s)}\\\\

<u>t = 18353.5 s = 305.9 min = 5.1 hours</u>

Learn more about dynamic pressure here:

brainly.com/question/13155610?referrer=searchResults

You might be interested in
Is this correct and plz j answer the right one I can’t have an explanation rn I’m in a rush thx so much
vova2212 [387]
I pretty sure it’s C
6 0
3 years ago
A ______________ is a continuous flow of water in a single direction. *
Oxana [17]

Answer:

Current

Explanation:

I think srry if im wrong

5 0
2 years ago
Read 2 more answers
What does physical education mean​
lilavasa [31]
Physical education is when you are taught about your body and the physical things you can do to keep it healthy. You are taught how to do exercises to keep healthy and what foods you should eat. Physical education means to be educated about your physical abilities and health.
5 0
3 years ago
Read 2 more answers
Fill in the blanks HELP ASAP
Alexandra [31]

checking to see if im locked out

7 0
3 years ago
The head of a grass string trimmer has 100 g of cord wound in a light, cylindrical spool with inside diameter 3.00 cm and outsid
Karolina [17]

Answer:

a).11.546J

b).2.957kW

Explanation:

Using Inertia and tangential velocity

a).

w=2250*2\pi *\frac{1}{60}\\ w=235.61

I=\frac{1}{2}*m*((\frac{d_{i} }{2})^{2} +(\frac{d_{e} }{2})^{2})\\m=100g *\frac{ikg}{1000g}=0.1kg\\ d_{i}=3cm*\frac{1m}{100cm}=0.03m \\ d_{e}=18cm*\frac{1m}{100cm}=0.18m\\I=\frac{1}{2}*0.1kg*((\frac{0.03m}{2})^{2} +(\frac{0.18m}{2})^{2})\\I=0.41625x10^{-3}kg*m^{2}

Now using Inertia an w

E=\frac{1}{2}*I*(w)^{2} \\ E=\frac{1}{2}*0.416x10^{-3}*(235.61)^{2} \\E=11.54J

average power=\frac{11.4J}{0.230s}=50.2 W

b).

power=t*w

P=11.5465*0.25*235.61

P=2.957 kW

8 0
2 years ago
Read 2 more answers
Other questions:
  • ¿CUAL ES LA CAUSA DE UNA ONDA ESTACIONARIA?
    5·1 answer
  • If the mass of a material is 104 grams and the volume of the material is 16 cm3, what would the density of the material be?
    6·1 answer
  • Three point charges are placed at distances of d , 2 d , and 3 d from a point P. The particle that is 2 d away from P has a char
    11·1 answer
  • An object is 15 cm in front of a diverging lens with a
    14·1 answer
  • Which section of the reaction represents the reactants? A) a B) b C) c D) d
    15·2 answers
  • When conducting an investigation outside, you can assume it is safe to touch my plant or animal you see.
    8·1 answer
  • Calculate the electric field at the center of a square
    12·1 answer
  • What is the critical angle θcrit for light propagating from a material with index of refraction of 1.50 to a material with inde
    8·1 answer
  • Last night Mookie Betts hit a baseball at 32.5 m/s at a 45° angle. Betts
    15·1 answer
  • A constant friction force of 21 N acts on a 63-kg skier for 25 s on level snow. What is the skier’s change in velocity?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!