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
alexira [117]
3 years ago
8

An air-filled pipe is found to have successive harmonics at 945 Hz , 1215 Hz , and 1485 Hz . It is unknown whether harmonics bel

ow 945 Hz and above 1485 Hz exist in the pipe. What is the length of the pipe

Physics
1 answer:
Aleonysh [2.5K]3 years ago
8 0

Answer:

L = 0.635m

Explanation:

This problem involves the concept of stationary waves in pipes. For pipes closed at one end,

The frequency f = nv/4L for n = 1,3,5....n

For pipes open at both ends

f = nv/2L for n = 1,2,3,4...n

Assuming the pipe is closed at one end and that velocity of sound is 343m/s in air. If we are right we will obtain a whole number for n.

The film solution can be found in the attachment below.

You might be interested in
The circumference of a sphere was measured to be
professor190 [17]

To solve this problem we will apply the concepts related to the calculation of the surface, volume and error through the differentiation of the formulas given for the calculation of these values in a circle. Our values given at the beginning are

\phi = 76cm

Error (dr) = 0.5cm

The radius then would be

\phi = 2\pi r \\76cm = 2\pi r\\r = \frac{38}{\pi} cm

And

\frac{d\phi}{dr} = 2\pi \\d\phi = 2\pi dr \\0.5 = 2\pi dr

PART A ) For the Surface Area we have that,

A = 4\pi r^2 \\A = 4\pi (\frac{38}{\pi})^2\\A = \frac{5776}{\pi}

Deriving we have that the change in the Area is equivalent to the maximum error, therefore

\frac{dA}{dr} = 4\pi (2r) \\dA = 4r (2\pi dr)

Maximum error:

dA = 4(\frac{38}{\pi})(0.5)

dA = \frac{76}{\pi}cm^2

The relative error is that between the value of the Area and the maximum error, therefore:

\frac{dA}{A} = \frac{\frac{76}{\pi}}{\frac{5776}{\pi}}

\frac{dA}{A} = 0.01315 = 1.31\%

PART B) For the volume we repeat the same process but now with the formula for the calculation of the volume in a sphere, so

V = \frac{4}{3} \pi r^3

V = \frac{4}{3} \pi (\frac{38}{\pi})^3

V = \frac{219488}{3\pi^2}

Therefore the Maximum Error would be,

\frac{dV}{dr} = \frac{4}{3} 3\pi r^2

dV = 2r^2 (2\pi dr)

dV = 4r^2 (\pi dr)

Replacing the value for the radius

dV = 4(\frac{38}{\pi})^2(0.5)

dV = \frac{2888}{\pi^2} cm^3

And the relative Error

\frac{dV}{V} = \frac{ \frac{2888}{\pi^2}}{ \frac{219488}{3\pi^2} }

\frac{dV}{V} = 0.03947

\frac{dV}{V} = 3.947\%

3 0
2 years ago
The gravitational force is always attractive, while the electric force is both attractive and replusive. What accounts for this
tangare [24]
The gravitational force is gravity meanwhile the electric force is electric
6 0
2 years ago
What is lighting and lighting conductor​
Igoryamba

Answer:

Lightning is a process that occurs when the positive and negative charges present in the cloud build up in such a manner that a spark of lightning occurs between the two of them in the cloud. ... A metal rod placed on top of a building to protect it from a lightning strike is known as a lightning conductor.

Explanation:

8 0
2 years ago
Read 2 more answers
A planet exerts a gravitational force of magnitude 4e22 N on a star. If the planet were 3 times closer to the star (that is, if
Alex_Xolod [135]

Answer:

3.6\times10^{23} N

Explanation:

F=\frac{GmM}{r^2}=4\times10^{22} N

F'=\frac{GmM}{(r/3)^2}=9\frac{GmM}{r^2}=9\times4\times10^{22}=3.6\times10^{23} N

7 0
2 years ago
Help is requested. Will give brainliest to anyone who answers correctly. 
sp2606 [1]
The answer should be d because they are constantly rotating
4 0
3 years ago
Other questions:
  • When the quantity q is greater than zero, __________ is added to the system?
    8·1 answer
  • A string is stretched and fixed at both ends, 200 cm apart. If the density of the string is 0.015 g/cm, and its tension is 600 N
    5·1 answer
  • You are holding a block of wood with dimensions 3 cm 6 cm 9 cm on the palm of your hand. Which side must be touching your hand f
    12·2 answers
  • Describe the arguments supporting the idea that quasars are at the distances indicated by their redshifts.
    8·1 answer
  • a ball is rolled uphill a distance of 3 meters before it slows,stops,and begins to roll back. the ball rolls downhill 6 meters b
    13·1 answer
  • The current supplied by a battery as a function of time is I(t) = (0.88 A) e^(-t*6 hr). What is the total number of electrons tr
    5·1 answer
  • HELP ME PLS!!!!
    14·2 answers
  • Describe the sequence of mechanical energy events that lets you hear the
    9·1 answer
  • The electric motor of a model train accelerates the train from rest to 0.540 m/s in 27.0 ms. The total mass of the train is 610
    9·2 answers
  • Sam was investigating a container of water. Water can be a solid, liquid, or gas. At first, Sam said the water molecules were mo
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!