Fluid Surface (Accel / Spin)

This interactive simulator explores Fluid Surface (Accel / Spin) in Classical Mechanics. Linear tank: tan α = a/g; rotating bucket: paraboloid sketch vs rpm. Use the controls to change the scenario; watch the visualization and any graphs or readouts to connect the model with lectures, labs, and homework.

Who it's for: Suited to beginners and first exposure to the topic. Typical context: Classical Mechanics.

Key terms

  • fluid
  • surface
  • accel
  • spin
  • fluid surface accel
  • mechanics
  • classical

How it works

**Linear acceleration:** in the **non-inertial** frame of a tank accelerating horizontally, the **effective gravity** vector tilts; the **free surface** is **perpendicular** to **g_eff = g − a** (flat surface in equilibrium), giving **tan α = a/g** for tilt from horizontal. **Rotating bucket:** in the **rotating frame**, **centrifugal** and **gravity** combine to a **paraboloid** **z ∝ r²** (here **ω** is a **display** scale, not a lab calibration).

Key equations

tan α = a/g · rotating: z ~ (ω² r²)/(2g) (ideal rigid rotation)