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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.

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A man walks 2.6 miles east, then turns and walks 6.7 miles north. What is his resultant
Zarrin [17]

Answer:

Yes cause he walks 6.7 miles

6 0
2 years ago
Using examples, explain why the first and second Newton laws of motion are significant for living organisms.
Triss [41]

Answer:

1) Newton's first law of motion states an object will remain at rest or in uniform will be in uniform motion in a straight line unless a force acts on it

2) Newton's second law states the acceleration of an object is directly proportional to the applied force acting on an object and inversely proportional to the mass of the object

Explanation:

1) With Newton's first law, we are able arrange things within a space and schedule meetings in time knowing that they will remain in place unless an external force changes their positions

2) An example of Newton's second law of motion is that small objects such as a ball are easily accelerated and can be given appreciable acceleration for flight by single, one time contact (such as kicking the ball) while larger objects such as a rock require sustained force application to change their location.

6 0
3 years ago
Which is located farther west the central valley or the coast ranges?
astra-53 [7]
The question is concerned with the regions found within California, which are the Coastal Region, Mountain Region, Central Valley Region, and the Desert Region.
The Coastal Region is located furthest to the west out of all of these regions. The Coastal Region is where the California meets the Pacific Ocean, and it has a somewhat moderate and constant climate throughout the year due to its location near the ocean.
8 0
2 years ago
A dog, with a mass of 10.0 kg, is standing on a flatboat so that he is 22.5 m from the shore. He walks 7.8 m on the boat toward
marissa [1.9K]

Answer:16.096

Explanation:

Given

mass of dog\left ( m_d\right )=10kg

mass of boat\left ( m_b\right )=46kg

distance moved by dog relative to ground=x_d

distance moved by boat relative to ground=x_b

Distance moved by dog relative to boat=7.8m

There no net force on the system therefore centre of mass of system remains at its position

0=m_d\times x_d+m_b\dot x_b

0=10\times x_d+46\dot x_b

x_d=-4.6x_b

i.e. boat will move opposite to the direction of dog

Now

|x_d|+|x_b|=7.8

substitutingx_dvalue

5.6|x_b|=7.8

|x_b|=1.392m

|x_d|=6.4032m

now the dog is  22.5-6.403=16.096m from shore

4 0
3 years ago
Essam is abseiling down a steep cliff. How much gravitational potential energy does he lose for every metre he descends? His mas
Dafna11 [192]

Answer:

720 J

Explanation:

The gravitational potential energy that Essam loses for every metre is given by:

\Delta U=mg \Delta h

where

m=72 kg is Essam's mass

g=10 N/kg is the gravitational field strength

\Delta h=1 m is the difference in height

By substituting the numbers into the formula, we find

\Delta U=(72 kg)(10 N/kg)(1 m)=720 J

5 0
3 years ago
Read 2 more answers
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