Waves
SHM Acceleration
Acceleration proportional and opposite to displacement.
Variables
am/s²
Acceleration
Instantaneous acceleration
ωrad/s
Angular frequency
ω = 2πf
xm
Displacement
Position from equilibrium
Derivation
a = dv/dt = -Aω² cos(ωt + φ) = -ω²x.
Your notes
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Common questions
What is the SHM Acceleration formula?
SHM Acceleration is written a = -ω² x. Acceleration proportional and opposite to displacement. It belongs to Waves, under Simple Harmonic Motion.
What are the units in a = -ω² x?
In SI units, a is acceleration, measured in m/s²; ω is angular frequency, measured in rad/s; x is displacement, measured in m.
How is the SHM Acceleration formula derived?
a = dv/dt = -Aω² cos(ωt + φ) = -ω²x. The result is a = -ω² x.