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
Talja [164]
3 years ago
14

An incompressible fluid flows steadily through a pipe that has a change in diameter. The fluid speed at a location where the pip

e diameter is 8.0 cm is 1.28 m/s. What is the fluid speed at a location where the diameter has narrowed to 4.0 cm?

Physics
2 answers:
Tema [17]3 years ago
8 0

Answer:

5.10 m/s

Explanation:

The volumetric flow rate for an incompressible fluid through a pipe is constant, so we can write:

A_1 v_1 = A_2 v_2 (1)

where

A_1 is the cross-sectional area of the first part of the pipe

A_2 is the cross-sectional area of the second part of the pipe

v_1 is the speed of the fluid in the first part of the pipe

v_2 is the speed of the fluid in the second part of the pipe

Here we have:

v_1 = 1.28 m/s

r_1 = \frac{8.0 cm}{2}=4.0 cm = 0.04 m is the radius in the first part of the pipe, so the area is

A_1 = \pi r_1^2 = \pi (0.04 m)^2 =5.02\cdot 10^{-3}m^2

r_2 = \frac{4.0 cm}{2}=2.0 cm = 0.02 m is the radius in the first part of the pipe, so the area is

A_2 = \pi r_2^2 = \pi (0.02 m)^2 =1.26\cdot 10^{-3}m^2

Using eq.(1), we find the fluid speed at the second location:

v_2 = \frac{A_1 v_1}{A_2}=\frac{(5.02\cdot 10^{-3} m^2)(1.28 m/s)}{1.26\cdot 10^{-3} m^2}=5.10 m/s

DanielleElmas [232]3 years ago
7 0

The fluid speed at a location where the diameter has narrowed to 4.0 cm is 5.12 m/s

\texttt{ }

<h3>Further explanation</h3>

The basic formula of pressure that needs to be recalled is:

Pressure = Force / Cross-sectional Area

or symbolized:

\large {\boxed {P = F \div A} }

<em>P = Pressure (Pa)</em>

<em>F = Force (N)</em>

<em>A = Cross-sectional Area (m²)</em>

Let us now tackle the problem !

\texttt{ }

<u>Given:</u>

diameter of pipe at location 1 = d₁ = 8.0 cm

speed of fluid at location 1 = v₁ = 1.28 m/s

diameter of pipe at location 2 = d₂ = 4.0 cm

<u>Asked:</u>

speed of fluid at location 2 = v₂ = ?

<u>Solution:</u>

We will use Continuity Equation as follows:

A_1 v_1 = A_2 v_2

\frac{1}{4}\pi (d_1)^2 v_1 = \frac{1}{4} \pi (d_2)^2 v_2

(d_1)^2 v_1 = (d_2)^2 v_2

v_2 = (\frac{d_1}{d_2})^2 v_1

v_2 = (\frac{8}{4})^2 \times 1.28

v_2 = 2^2 \times 1.28

v_2 = 4 \times 1.28

v_2 = 5.12 \texttt{ m/s}

\texttt{ }

<h3>Learn more</h3>
  • Minimum Coefficient of Static Friction : brainly.com/question/5884009
  • The Pressure In A Sealed Plastic Container : brainly.com/question/10209135
  • Effect of Earth’s Gravity on Objects : brainly.com/question/8844454

\texttt{ }

<h3>Answer details</h3>

Grade: High School

Subject: Physics

Chapter: Pressure

\texttt{ }

Keywords: Gravity , Unit , Magnitude , Attraction , Distance , Mass , Newton , Law , Gravitational , Constant , Liquid , Pressure

You might be interested in
A 7300 kg rocket blasts off vertically from the launch pad with a constant upward acceleration of 2.20 m/s2 and feels no appreci
Simora [160]

Answer:

Explanation:

We shall first calculate the velocity at height h = 575 m .

acceleration a = 2.2 m /s²

v² = u² + 2 a s

u is initial velocity , v is final velocity , s is height achieved

v² = 0 + 2 x 2.2 x 575

v = 50.3 m /s

After 575 m , rocket moves under free fall so g will act on it downwards

If it travels further by height H

from the relation

v² = u² - 2 g H

v = 0 , u = 50.3 m /s

H = ?

0 = 50.3² - 2 x 9.8 H

H = 129.08 m

Total height attained by rocket

= 575 + 129.08

= 704.08 m .

4 0
2 years ago
On the sonometer shown below, a horizontal cord of length 5 m has a mass of 1.45 g. When the cord was plucked the wave produced
Korolek [52]

Answer:

(a) T = 0.015 N

(b) M = 1.53 x 10⁻³ kg = 1.53 g

Explanation:

(a) T = 0.015 N

First, we will find the speed of waves:

v =f\lambda

where,

v = speed of wave = ?

f = frequency = 120 Hz

λ = wavelength = 6 cm = 0.06 m

Therefore,

v = (120 Hz)(0.06 m)

v = 7.2 m/s

Now, we will find the linear mass density of the coil:

\mu = \frac{m}{l}

where,

μ = linear mass density = ?

m = mass = 1.45 g = 1.45 x 10⁻³ kg

l = length = 5 m

Thereforre,

\mu = \frac{1.45\ x\ 10^{-3}\ kg}{5\ m}\\\\\mu = 2.9\ x\ 10^{-4}\ kg/m

Now, for the tension we use the formula:

v = \sqrt{\frac{T}{\mu}}\\\\7.2\ m/s = \sqrt{\frac{T}{2.9\ x\ 10^{-4}\ kg/m}}\\\\(51.84\ m^2/s^2)(2.9\ x\ 10^{-4}\ kg/m) = T

<u>T = 0.015 N</u>

<u></u>

(b)

The mass to be hung is:

T = Mg\\\\M = \frac{T}{g}\\\\M = \frac{0.015\ N}{9.8\ m/s^2}\\\\

<u>M = 1.53 x 10⁻³ kg = 1.53 g</u>

4 0
3 years ago
Question 11 of 11
VladimirAG [237]

Answer:

D.

Explanation:

6 0
3 years ago
Read 2 more answers
An LED is useful because when a current passes through it, it gives out... what?
Mkey [24]

An LED is useful because when a current passes through it, it gives out light.

4 0
2 years ago
The amount of water vapor in the air is known as the
WITCHER [35]
It is know as smoke because if you cook food smoke will go up in the air and that makes vapor and also water from the ground it suck up
5 0
3 years ago
Other questions:
  • According to our theory of solar system formation, why did uranus and neptune end up to be much less massive than jupiter and sa
    5·1 answer
  • What is the correct name for this formula: SiO2?
    14·2 answers
  • 99 POINTS PLEASE HELP
    6·2 answers
  • How can the process of climate change best be described?
    9·2 answers
  • Can someone please help me solve. like now? or in a few minutes tops
    13·2 answers
  • 2. A ball tied to a pole by a rope swings in a circular path with a centripetal acceleration of 2.7 m/s. If the ball has a
    11·1 answer
  • Lighting is to thunder as lunch
    9·2 answers
  • How can scientists eliminate the chance of error in their investigations
    6·1 answer
  • HELP PLEASE!!!!
    6·1 answer
  • S Four point charges each having charge Q are located at the corners of a square having sides of length a. Find expressions for(
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!