Hydrostatic Force on a Plane Surface — Virtual Fluids Laboratory

Fluids Report No. 1 · Hydrostatics · quarter-circle block on a balance beam — FR as a function of water depth h

Apparatus & Measurement

tilt = 0.00° not level

Hang a mass on the beam — it tips. Open the fill valve until the hydrostatic force on the block's vertical end face brings the beam back to level (watch the level indicator at the left end of the arm — its pointer lines up with the red datum mark), fine-tune with the ±0.5 mm buttons, then record the depth h. Repeat for all 10 masses: five leave the face partially submerged (h < 100 mm) and five fully submerge it.

Apparatus dimensions & how balance works

Beam length L = 275 mm (pivot to hanger) · inner radius R₁ = 100 mm · outer radius R₂ = 200 mm · face width b = 75 mm · face height D = R₂−R₁ = 100 mm. The curved sides of the block are circular arcs centred on the pivot, so pressure on them passes through the pivot and produces no moment — only the force on the vertical end face turns the beam. At balance, m·g·L equals FR times its moment arm about the pivot. Depth h is measured from the bottom edge of the end face.

Raw Data

γwater = 9810 N/m³  ·  L = 0.275 m  ·  face: 100 × 75 mm
Depth gauge: h = 0.0 mm

Guided Data Analysis — you calculate, the tool checks

Balance and record all 10 depths first (5 partially + 5 fully submerged). The analysis unlocks automatically.
0 / 10 recorded
Virtual lab for CE 323 (Environmental & Fluids Laboratory), Boise State University · Dr. Sondra Miller. Simulated depths are generated from the governing moment balance m·g·L = FR·(moment arm), so your worked calculations close the loop between theory and experiment.