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
ExtremeBDS [4]
3 years ago
13

Water flows through a 2.5cm diameter pipe at a rate of

Physics
1 answer:
My name is Ann [436]3 years ago
6 0

Answer:

From the Bernoulli energy principle,

ΔP + 1/2ρΔv² = 0 -------------------------- eqn 1

where

ΔP = pressure drop = P2 - P1 = (1 - 0.25)x10⁵ N/m =7.5 x 10⁴N/m

Δv²= velocity change = v₂² - v₁²

ρ = water density = 1kg/m3

Recall volumetric flow rate, Q=A v = constant

A = cross sectional area = πr²=πd²/4

d=pipe diameter at point 2 = 2.5cm = 0.025m and Q =0.20m³/min = 0.00333m³/s

So A= 0.000491m²

we can get v2 = Q/A = 6.79m/s

From eqn 1, v₁² = 2(P2 - P1)/ρ + v₂²

v₁² =  (2 x 7.5 x 10⁴)/1000 + 6.79²

v₁² = 196

v₁ = 14m/s

we can now get the area of the constriction point 2, A₁ = Q/v₁

A₁ = 0.000238m² and the diameter now will be d₁

d₁² = 4 x A₁ / π

     = 4 x 0.000238/3.14 = 0.000303m²

d₁ = √0.000303 = 0.0174m

Therefore, the diameter of  a constriction in the pipe  at the new pressure = 0.0174m = 1.74cm

You might be interested in
A small grinding wheel has a moment of inertia of 4.0*10-5kgm2. What net torque must be applied to the wheel for its angular acc
kvv77 [185]

Hi there!

We can use the rotational equivalent of Newton's Second Law:

\huge\boxed{\Sigma \tau = I \alpha}

Στ = Net Torque (Nm)

I = Moment of inertia (kgm²)

α = Angular acceleration (rad/sec²)

We can plug in the given values to solve.

\Sigma \tau = (4 * 10^{-5})(150) = \boxed{0.006 Nm}

4 0
2 years ago
Electromagnetic waves require a medium to transfer energy<br> True or False
Simora [160]

The statemengt is <em>false</em>. Electromgnetic waves do not require a medium to transfer energy. They can transfer energy through vacuum (empty space with nothing in it). If electrimagnetic waves needed a medium to move through from place to place, then we could never see the sun, and also it would get very cold here.

7 0
3 years ago
A soccer ball with a mass of 0.60 kg travels toward a soccer goalie at
Deffense [45]

Assuming constant acceleration, the goalie slows the ball from 18 m/s to rest in 0.035 s, so that the acceleration felt by the ball is

a_{\rm ave} = a = \dfrac{18\frac{\rm m}{\rm s}-0}{0.035\,\mathrm s} \approx \boxed{510\dfrac{\rm m}{\mathrm s^2}}

7 0
2 years ago
Question 1 (Multiple Choice Worth 2 points)
Masja [62]

Answer:

the crest of one wave to the crest of the next wave

Explanation:

6 0
3 years ago
Two cylindrical resistors are made from same material and have the same length. When connected across the same battery, one diss
Ilia_Sergeevich [38]

Answer:

\frac{d_2}{d_1} = \sqrt2 = 1.41

Explanation:

As resistor is connected to the battery of constant EMF then the power across the resistor is given as

P = \frac{E^2}{R}

now if two resistors are made up of same material and of same length then due to different cross sectional area they both have different resistance

Due to different resistance they both will have different power

Since power is inversely depends on the resistance

So if the power is twice that of the other then the resistance must be half

so we have

R_1 = \rho \frac{L}{A_1}

R_2 = \rho\frac{L}{A_2}

since one resistance is half that of other resistance

So the area of one must be twice that of other

so we have

\frac{A_2}{A_1} = 2

\frac{\pi d_2^2}{\pi d_1^2} = 2

d_2 = 1.41 d_1

8 0
3 years ago
Other questions:
  • If humans are the most complex creature, does that mean they have the most number of chromosomes?
    9·2 answers
  • Plants absorb WHAT from the atmosphere and release WHAT to the atmosphere.
    11·2 answers
  • Two boys are standing on a bridge 10 m above a stream. One boy throws a rock horizontally with speed of 5.0 m/s at exactly the s
    8·1 answer
  • A total solar eclipse is a rare event. Although they occur somewhere on earth every 18 months on average, it is estimated that t
    9·2 answers
  • What comes down but never goes up
    12·1 answer
  • Facts about Tsunami?
    9·1 answer
  • Ejection of Electrons from Hydrogen by Incident Photons Light of wavelength 80 nm is incident on a sample of hydrogen gas, resul
    5·1 answer
  • A vector has an x-component of 19.5m and a y-component of 28.4m. Find the magnitude and direction of the vector
    10·1 answer
  • A ball is thro.d hit the grouvelocity)?
    13·1 answer
  • How can you increase the gravitational potential energy (GPE) of an empty shoe box on the bottom shelf of a bookcase
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!