Simple Harmonic Motion Calc

Simple Harmonic Motion Calculator — a fast, accurate physics tool for solving displacement, velocity, and acceleration. Built for students, teachers, and engineers who need instant, reliable results.

Enter amplitude, time, and phase, then choose angular frequency (ω), frequency (f), or period (T) — the app converts everything automatically and delivers real-time answers with beautiful, interactive graphs.

KEY FEATURES

• Instant x(t), v(t), and a(t) using the standard SHM equations:

x(t) = A · cos(ωt + φ)

v(t) = −Aω · sin(ωt + φ)

a(t) = −Aω² · cos(ωt + φ)

• Maximum velocity (Aω) and maximum acceleration (Aω²) computed automatically

• Pick ω, f, or T as your input — values convert seamlessly

• Configurable units for every quantity: meters, centimeters, kilometers, feet, inches, yards, miles, hertz, kilohertz, radians, degrees, revolutions, and more

• SI / Metric and Imperial unit groups

• Standard or Scientific notation display (e.g. 1.28 × 10⁻¹⁵)

• Live equation view substitutes your numbers into each formula step by step

• Interactive graph of displacement, velocity, and acceleration across one full oscillation

• Zoom, pan, cursor tracking, and PNG export for lab reports or presentations

• Built-in formula reference covering every SHM relation and symbol

• Save calculations to a private local history — review, reload, or clear at any time

• Dynamic Type and accessibility support

• Offline app — no ads, no tracking, no internet required

PERFECT FOR

• Physics students studying mechanics, waves, oscillations, and harmonic motion

• Teachers preparing worked examples and lecture material

• Engineers analyzing springs, pendulums, vibration systems, and resonance

• Anyone learning sinusoidal motion and harmonic analysis

Simplify your next physics homework, lab report, or engineering analysis — download Simple Harmonic Motion Calculator today.

Thanks for your support, and do visit nitrio.com for more apps for your iOS devices.