Velocity in SHM

The Velocity in Simple Harmonic Motion (SHM) calculator computes the velocity based on the angular velocity, amplitude, time and phase angle.

INSTRUCTIONS: Choose units and enter the following:

• (ω) This is the angular velocity
• (A) This is the amplitude
• (t) This is the time
• (φ) This is the phase angle

Velocity (V_x): The calculator returns the velocity in meters per second.  However, this can be automatically converted to compatible units via the pull-down menu.

The Math / Science

The formula for velocity in Simple Harmonic Motion is:

   v_x=−ω⋅A·sin(ω⋅t+ϕ)

where:

• v_x is the velocity in Simple Harmonic Motion
• ω is the angular velocity
• A is the amplitude
• t is the time
• φ is the phase angle

Reference

University Physics 12th Edition, Chapter 13, Equation #13.15