Waves
SHM Maximum Velocity
Maximum speed occurs at equilibrium position.
Variables
vmaxm/s
Maximum velocity
At equilibrium
Am
Amplitude
Maximum displacement
Allowed values: 0 or more
ωrad/s
Angular frequency
ω = 2πf
Allowed values: greater than 0
Derivation
Maximum of |v| = |−Aω sin(ωt + φ)| is Aω.
Your notes
0/5000
Check value
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- A = 2 m (Amplitude)
- ω = 3 rad/s (Angular frequency)
Result: vmax = 6 m/s
Other waves formulas with the same quantities
- SHM Displacement (Simple Harmonic Motion) shares Amplitude, Angular frequency
- SHM Total Energy (Simple Harmonic Motion) shares Amplitude, Angular frequency
- SHM Acceleration (Simple Harmonic Motion) shares Angular frequency
- Angular Frequency (Wave Properties) shares Angular frequency
- Intensity-Amplitude Relation (Wave Properties) shares Amplitude
- Group Velocity (Wave Properties) shares Angular frequency
Where this formula is listed
- Waves formulas, under Simple Harmonic Motion, alongside Spring Oscillation Period, Pendulum Period, Physical Pendulum Period, Torsional Oscillation Period and Damped Oscillation.
- In the waves list it comes after SHM Acceleration and before Spring Oscillation Period.
- Waves formula sheet, one of 37 formulas printed with symbol keys and SI units.
- The full formula index, grouped by category and topic.
Common questions
What is the SHM Maximum Velocity formula?
SHM Maximum Velocity is written v_max = Aω. Maximum speed occurs at equilibrium position. It belongs to Waves, under Simple Harmonic Motion.
What are the units in v_max = Aω?
In SI units, v_m ax is maximum velocity, measured in m/s; A is amplitude, measured in m; ω is angular frequency, measured in rad/s.
How is the SHM Maximum Velocity formula derived?
Maximum of |v| = |−Aω sin(ωt + φ)| is Aω. The result is v_max = Aω.