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
geniusboy [140]
3 years ago
15

A water main pipe of diameter 10 cm enters a house 2 m below ground. A smaller diameter pipe carries water to a faucet 5 m above

ground, on the second floor. Water flows at 2 ms1 in the main pipe and at 7 ms on the second floor. Find the diameter of the smaller diameter pipe. (i) [4 marks (ii) If the gauge pressure in the main pipe is 2x10 Pa, find the gauge pressure in the pipe on 15 marks) (ii) Discuss if it is possible to carry water to a faucet 17 m above ground, on the roof-top by 15 marks the second floor. extending the smaller diameter pipe
Physics
1 answer:
Lemur [1.5K]3 years ago
7 0

Explanation:

Given that,

Diameter = 10 cm

Distance = 2 m

Speed v_{1}= 2\ m/s

Speed v_{2}=7\ m/s

Pressure in main pipe P_{1}=2\times10^{5}\ Pa

(I). We need to calculate the diameter

Using equation of continuity

Av_{1}=Av_{2}

\pi(\dfrac{d_{1}}{2})^2\times v_{1}=\pi(\dfrac{d_{2}}{2})^2\times v_{2}

(\dfrac{10}{2})^2\times2=(\dfrac{d_{2}}{2})^2\times7

d_{2}=\sqrt{\dfrac{25\times2\times4}{7}}

d_{2}=5.345\ cm

(II). We need to calculate the pressure the gauge pressure

Using Bernoulli equation

P_{1}+\dfrac{1}{2}\rho v_{1}^2+\rho gh_{1}=P_{2}+\dfrac{1}{2}\rho v_{2}^2+\rho g h_{2}

P_{2}=P_{1}+\dfrac{1}{2}\rho(v_{1}^2-v_{2}^2)-\rho g(h_{1}-h_{2})

P_{2}=2\times10^{5}+\dfrac{1}{2}\times1000(4-49)-1000\times 9.8\times(5)

P_{2}=1.28500\times10^{5}\ Pa

(III).  If it is possible to carry water to a faucet 17 m above ground,

Using Bernoulli equation

P_{1}+\dfrac{1}{2}\rho v_{1}^2+\rho gh=P_{3}+\dfrac{1}{2}\rho v_{3}^2+\rho g h_{3}

P_{3}=P_{1}+\dfrac{1}{2}\rho v_{1}^2-\rho g(h_{1}-h_{3})

Here, h_{3}=0

Put the value in the equation

P_{3}=2\times10^{5}+\dfrac{1}{2}\times1000\times4-1000\times 9.8\times17

P_{3}=3.5400\times10^{5}\ Pa

Hence, This is required solution.

You might be interested in
An eagle flying at 35 m/s emits a cry whose frequency is 440 Hz. A blackbird is moving in the same direction as the eagle at 10
Akimi4 [234]

Answer:

a)  F=475.7Hz

b)  F'=410.899Hz

Explanation:

From the question we are told that:

Velocity of eagle V_1=35m/s

Frequency of eagle F_1=440Hz

Velocity of Black bird V_2=10m/s

Speed of sound s=343m/s

a)

Generally the equation for Frequency is mathematically given by

 F=f_0(\frac{v-v_2}{v-v_1})

 F=440(\frac{343-10}{343-35})

 F=475.7Hz

b)

Generally the equation for Frequency is mathematically given by

 F'=f_0(\frac{v+v_2}{v+v_1})

 F'=440(\frac{343+10}{343+35})

 F'=410.899Hz

7 0
3 years ago
The picture above shows 3 sets of balloons, all with a particular charge. Which of the picture(s) is true? Explain. Then explain
MariettaO [177]
C is correct because they would repel each other A is wrong be they wouldn't repel And B is wrong because they shouldn't be repelling each other
7 0
2 years ago
Read 2 more answers
A force of 10 N causes a spring to extend by 20 mm. Find: a) the spring constant of the spring in N/m​
Mars2501 [29]

Answer:

formula used K=F/∆l

∆l is the elongation of the spring

  1. F=10N
  2. ∆l=20mm===> 0.02m
  3. K=10N divided 0.02m= 500N/m
6 0
2 years ago
How many electrons have been removed from a positively charged electroscope if it has a net charge of 6x10-11?
oksano4ka [1.4K]

Answer:

is it the ans you are looking for

5 0
3 years ago
Which of the following pieces of laboratory equipment is not directly used to make measurements
RoseWind [281]
I believe the answer is a test tube.
4 0
3 years ago
Read 2 more answers
Other questions:
  • A 2-kg bowling ball sits on top of a building that is 40 meters tall.
    13·2 answers
  • A student is trying to calculate the density of a ball. She already knows the mass, but she needs to determine the volume as wel
    6·1 answer
  • Is diet Pepsi heterogeneous or is it homogeneous
    8·2 answers
  • Pendulum A has a bob of mass m hung from the string of length L; pendulum B is identical to A except its bob has the length 2L.
    12·1 answer
  • As she was trying to study, Tanisha asked her roommate to lower the radio. Her roommate had turned the radio up originally from
    7·1 answer
  • Wts the average velocity​
    11·1 answer
  • Are you gay if you are why?
    12·2 answers
  • An astronaut is said to be weightlessness when he\she travels in a satellite. Does it mean that the earth does not attract him\h
    5·1 answer
  • When a car maintains a velocity of exactly 65 mph, what is it's acceleration​
    12·2 answers
  • For an object on a flat surface, the force of gravity is 10 newtons downward and the normal force is 10 newtons upward. The appl
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!