Waves
SHM Velocity
Velocity as function of time in SHM.
Variables
vm/s
Velocity
Instantaneous velocity
Am
Amplitude
Maximum displacement
ωrad/s
Angular frequency
ω = 2πf
ts
Time
Time
φrad
Phase constant
Initial phase
Derivation
v = dx/dt = -Aω sin(ωt + φ).
Your notes
0/5000
Other waves formulas with the same quantities
- SHM Total Energy (Simple Harmonic Motion) shares Amplitude, Angular frequency
- SHM Acceleration (Simple Harmonic Motion) shares Angular frequency
- Damped Oscillation (Simple Harmonic Motion) shares Time
- 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 Quality Factor (Q Factor).
- In the waves list it comes after SHM Displacement and before SHM Acceleration.
- 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 Velocity formula?
SHM Velocity is written v = −Aω sin(ωt + φ). Velocity as function of time in SHM. It belongs to Waves, under Simple Harmonic Motion.
What are the units in v = −Aω sin(ωt + φ)?
In SI units, v is velocity, measured in m/s; A is amplitude, measured in m; ω is angular frequency, measured in rad/s; t is time, measured in s; φ is phase constant, measured in rad.
How is the SHM Velocity formula derived?
v = dx/dt = -Aω sin(ωt + φ). The result is v = −Aω sin(ωt + φ).