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
SVETLANKA909090 [29]
3 years ago
6

The 2779-m Brooklyn-Battery Tunnel, connecting Brooklyn and Manhattan, is one of the world's longest underwater vehicular tunnel

s. (a) Determine its fundamental frequency of vibration. (b) What harmonic must be excited so that it resonates in the audio region at 20 Hz or greater?
Physics
1 answer:
Marina CMI [18]3 years ago
3 0
For a cylinder that has both ends open resonant frequency is given by the following formula:
f= \frac{nv}{2L}
Where n is the resonance node, v is the speed of sound in air and L is the length of a cylinder.
The fundamental frequency is simply the lowest resonant frequency.
We find it by plugging in n=1:
f_0= \frac{v}{2L}=\frac{343}{2\cdot 2779}=0.062 Hz
To find what harmonic has to be excited so that it resonates at f>20Hz we simply plug in f=20 Hz and find our n:
20= \frac{n343}{2\cdot 2779} =n\cdot f_0
We can see that any resonant frequency is simply a multiple of a base frequency.
Let us find which harmonic resonates with the frequency 20 Hz:
20=n\cdot f_0\\ n=\frac{20}{0.062}=322.58
Since n has to be an integer, final answer would be 323.

You might be interested in
A series circuit consists of a 100-ω resistor, a 10.0-μf capacitor, and a 0.350-h inductor. the circuit is connected to a 120-v
Tpy6a [65]
Current will be I=\dfrac{V_{rms}}{Z}=\dfrac{V_{rms}}{\sqrt{ R^{2}+(X_{C}-X_{L})^{2}}}\\where~X_{c}=\dfrac{1}{j.\omega .C}~and~X_{L}=j.\omega.L~where~\omega=2.\pi f~and~f=60Hz
now just pluf in the values and Voila..
7 0
3 years ago
PLZ ANSWER ASAP IF YOU KNOW THIS...At the county fair, Carrie and Sam climbed up on the carousel horses. Around and around they
Maslowich
The answer is (a) because movement is acceleration 
8 0
3 years ago
In a convex lense f=20cm, m=1,then what is u and v?​
katen-ka-za [31]

Answer:

I'm not sure if I know whatever the answer is

3 0
2 years ago
Instructions:Select all the correct answers.
melomori [17]
The answer would be B: The ground exerts an equal force on the golf ball.
6 0
3 years ago
Read 2 more answers
Pls help I’m being timed!!
Firdavs [7]

Answer:

B

Explanation:

Heat increase molecular motion

6 0
3 years ago
Read 2 more answers
Other questions:
  • List six forms of electromagnetic radiation from the shortest waves(highest energy) to the longest waves (lowest energy)
    11·1 answer
  • The most common purpose for fracking in the u.s is to get
    12·1 answer
  • You decide you want to carry a boulder home from the beach it is 30 centimeter on each side. It is made of granite, which has a
    5·1 answer
  • What, roughly, is the percent uncertainty in the volume of a spherical beach ball whose radius is 5.66 0.09 m?
    6·1 answer
  • When an object is dropped from the top of a tall cliff, your teacher tells you to use -10 m/s2 for the approximate acceleration
    5·2 answers
  • A uniform, solid cylinder of radius 5 cm and mass of 3 kg starts from rest at the top of an inclined plane that is 2 meters long
    6·1 answer
  • A 120 g block attached to a spring with spring constant 3.0 N/m oscillates horizontally on a frictionless table. Its velocity is
    13·1 answer
  • If The density of this stainless steel is7.85 g/cm3,specific heatis 0.5 J/g.K, melting pointis 1673K, heat of fusion s0.260J/kg.
    9·1 answer
  • What main factor determines the stages a star will follow after the main sequence?.
    12·1 answer
  • What is the effect of the author proposing a "thought experiment" at the beginning of the text? FINANCIAL LITERACY
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!