physics formulas

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simple harmonic motion - mass-spring system

Last updated 11:54 PM on 4/22/24
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14 Terms

1
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angular speed (omega)

change in theta/change in time

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angular speed/angular frequency

2pi radians/T

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period

T

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frequency

1/T = f

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(for mass-spring system) angular frequency

omega = sqrt(k/m)

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(for mass-spring system) period

T = 2pi/omega = 2pi(sqrt(m/k))

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(for mass-spring system) frequency

f = 1/T = 1/2pi*(sqrt(k/m)) = omega/2pi

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phase angle (shift)

phi

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position as a function of time

x(t) = A cos ((omega)t + phi)

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A

x max

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velocity as a function of time

v(t) = -wAsin(w(t)+phi)

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-wA

velocity maximum = velocity amplitude

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acceleration as a function of time

a(t) = -w²Acos(wt + phi) → -w²(x(t))

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-w²A

acceleration max = acceleration amplitude