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Vibrations
1.
Simple Harmonic Motion
where,
T=period of a vibration, s
n=frequency or vibration per unit time, 1/s
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2. Spring
Pendulum
where,
T=period, s
M=mass of pendulum
K=spring
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3.
Simple Pendulum
where,
l=length of the pendulum
g=acceleration due to gravity
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4.
Wavelength
where,
V=total distance traveled in one second
λ=length of one wave
η=number of waves per second
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5.
Speed of sound
where,
V=speed of sound at temperature tc˚C, m/s
Vo=speed at 0˚C, m/s
tc=temperature, ˚C.
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6.
Beat Notes
N=n2-n1
where,
N=beat frequency, i.e., number of beats per second
N1, n2=frequencies of two sources producing the
sound, vibrations/s
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7.
Doppler Effect
where,
No=frequency heard by the observer
ns=frequency of the source
V=velocity of sound
Vs=velocity of source
Vo=velocity of the observer
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8. Intensity of sound
where,
E=intensity of sound at any distance d, microwatts/cm2
or decibels
Eo=intensity of sound at unit distance,
decibels
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9.
Vibrating Strings
where,
V=velocity of sound, m/s
N=frequency or number of waves passing by per second
λ=length of one wave or wavelength
F=tension in a rope or string, N
M=mass of string per unit length, kg/m
L=distance between two consecutive nodes, m
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10.
Sound Wave Through Gas
where,
V=wave velocity, cm/s
P=gas pressure, dynes/cm2
ρ=gas density, g/cm3
K=proportionality constant
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