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
Which object has the most thermal energy?
den301095 [7]

Answer:

D is the answer

Explanation:

D is the most highest one so

the answer is D

3 0
2 years ago
Read 2 more answers
I WILL MARK BRAINLIST PLEASE HELP!
Alenkasestr [34]

Answer:

Generally, when thermal energy is transferred to a material, the motion of its particles speeds up and its temperature increases. There are three methods of thermal energy transfer: conduction, convection, and radiation. ... Convection transfers thermal energy through the movement of fluids or gases in circulation cells.

Explanation:

4 0
2 years ago
Read 2 more answers
Block A of 5 kg with a speed of 3 m/s collides with block B of 10 kg that is stationary. After the collision, block B travels wi
Lemur [1.5K]

Answer:

-1m/s

Explanation:

We can calculate the speed of block A after collision

According to collision theory:

MaVa+MbVb = MaVa+MbVb (after collision)

Substitute the given values

5(3)+10(0) = 5Va+10(2)

15+0 = 5Va + 20

5Va = 15-20

5Va = -5

Va = -5/5

Va = -1m/s

Hence the velocity of ball A after collision is -1m/s

Note that the velocity of block B is zero before collision since it is stationary

6 0
3 years ago
Once the merry-go-round travels at this new angular speed, with what force does the person need to hold on?.
natita [175]

For a merry go round with a radius of R=1.8 m and moment of inertia I=184 kg-m^2 is spinning with an initial angular speed of w=1.48 rad/s   is mathematically given as

F= 618.9 N

<h3>What is the centripetal force?</h3>

Generally, the equation for the angular speed  is mathematically given as

w = v/R

Therefore

w= 4.7/1.8

w= 2.611 rad/s

Where total momentum

Tm= 642.96 + 272.32

Tm= 915.28

and total inertia

Ti= 184 + 246.24

Ti= 430.24

In conclusion, centripetal force

F= mrw^2

F = m*R*w2^2

F = 76*1.8*2.127^2

F= 618.9 N

Read more about mass

brainly.com/question/15959704

CQ

Flag

a merry go round with a radius of R=1.8 m and moment of inertia I=184 kg-m^2 is spinning with an initial angular speed of w=1.48 rad/s in the counter clockwise direction when viewed from above a person with mass m=76 kg and velocity v=4.7 m/s runs on a path tangent to the merry go round once at the merry go round the person jumps on and holds on to the rim of the merry go round angular speed of the merry go round after the person jumps on 2.127 rad/s Once the merry go round travels at this new angular speed with what force does the person need to hold on?

3 0
2 years ago
What is the source of the radioactive nuclei present in spent fuel rods?
Debora [2.8K]
The answer is <span>nuclear fission.  T</span>he source of the radioactive nuclei present in spent fuel rods is nuclear fission.  Nuclear fission<span> is the </span>process<span> in which a large nucleus splits into two smaller nuclei with the release of energy. </span>
6 0
3 years ago
Other questions:
  • What is the base matterial for plastic wrap
    10·1 answer
  • A driver can exceed the postage maximum speed limit in a work zone T or F?
    9·1 answer
  • Gold has a density of 19.32 g/cm3. what is the volume of a sample of gold with a mass of 27.63 grams?
    13·1 answer
  • What happens to the force needed to stretch an elastic object?
    13·1 answer
  • What's the diameter of a dish antenna that will receive 10−20W of power from Voyager at this time? Assume that the radio transmi
    14·1 answer
  • Gerald works on a futuristic space station servicing interstellar space ships. He observes a ship traveling directly away from t
    10·1 answer
  • Choose the following types of hazards below
    9·2 answers
  • A digital stop-clock measures time in minutes and seconds.
    13·1 answer
  • 3. In what circumstance will a flash of lightning travel through the sky and<br> touch the ground?
    14·1 answer
  • Two resistors are connected in parallel two equivalent resistance is 3,75 ohm if one resistor has a resistance of 10ohm what is
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!