Formulas And Idea To Kniw Flashcards

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1
Q

What is a standing wave

A

With the right frequency a traveling wave can reflect back on itself and due to the superposition principle. The wave will appear to stand still

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2
Q

The 2nd harmonic is the ____ standing wave

A

3rd standing wave

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3
Q

Resonant frequency

A

Frequency at which the driving force equals the natural frequency of the system f sub zero. The system will be in resonance

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4
Q

When the driving force matches the the natural frequency and there are two pendulums one with length L and the other .3 L. Which has higher admitted if the driving force matches the res freq of the .3L

A

The .3L pendulum will have largest amplitude because of the

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5
Q

What is fundamental frequency in a tube with one end closed and one end opened

A

^=4L

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6
Q

Wave speed of a fixed string

A

The square root of

Tension force divided
Mass per length

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7
Q

How many nose in a 2nd harmonic

A

3 nodes

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8
Q

What is 1st harmonic..how many nodes and anti nodes

A

It’s a jump rope
It has two nodes

All harmonics are multiple of this number
Has 2 nodes

So fourth harmonic is 4 nodes

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9
Q

Speed of sound in a fluid

A

Root of

Bulk modulus divided
Equilibrium density

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10
Q

Wave equation

A

Wave length times frequency

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11
Q

At first harmoinc what is wavelength

A

2L

Also called fundamental frequency

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12
Q

Fundamental frequency equals

A

Velocity. Divided by 2L

Derived from wave speed equation and the fact that wavelength at f zero is 2L

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13
Q

So the pattern of finding any harmonic

A

N times the fundamental frequency

No remember that the fundamental frequency equaled velocity divided by 2L

And remember that velocity equals root force divided by mass per unit you get

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14
Q

What does a wave length in side an open end tube look like..draw it

A

It goes anti node node and then anti mode

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15
Q

Pattern of a pipe closed at one end and the resonant freq

A

1st
Frq equals velocity/ 4L

For every harmonic after you simply add 1/2 to 1/4

So the next is 3/4 and then 5/4 and then 7/4

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16
Q

Resonant freq of open end pipe

A

Frequency equals velocity/2L

Every frequency after is just multiplying by whatever one you want

And then take into account that v/2L is the fundamental and you get
Maybe nth frequ is just the fundamental multiple n times

17
Q

What is velocity of a wave

A

Frequency times its wave length