Physics-Guided Optics & Ophthalmology Lab

Optics & Vision Lab

Analyze lens focal lengths, convert clinical visual acuity fractions, compute prism deviations, simulate color temperatures, and evaluate light bulb efficacy.

Prism Power & Deviation Angle

Convert ophthalmic prism diopters (PD) to mechanical degrees of light deviation, and compute exact ray deflection angles.

1 PD = 1 cm bend @ 1m
PD (Δ)
0.1 PD (Slight correction)10.0 PD (Strong strabismus aid)20.0 PD (Highly intense prism)
Degrees (°)
Physical Deflection Model
Lateral Shift at 1m3.0 cm
Equivalent in Inches1.18 in
Required Apical Angle (α)

3.29° (for thin lens model)

Ophthalmic strabismus application:

Prism lenses deflect the incoming optical field toward the base of the prism. This aligns uncoordinated double-vision (diplopia) and redirects light paths directly to the fovea of misaligned eyes.

Simulated Glass Prism Beam Refraction
Dev: 1.72°

Explore Additional Utilities

Firewood volume — cords ↔ cubic meters ↔ cubic feet

Convert between cords, face cords, steres, and cubic volumes. Compute solid wood volumes, green or dry weight, and thermal BTU outputs.

forestry

Supersonic Mach Speed

Assess sonic speed boundaries and atmospheric Mach velocities relative to local dry conditions.

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Rolling resistance — tire pressure ↔ road surface → watts lost

Calculate power loss (watts) due to tire rolling resistance coefficient (Crr), system weight, and velocity.

cycling-advanced

Wind Chill Calculator

Determine the feels-like wind chill index from ambient air temperature and wind speed.

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Dog Age ↔ Human Age Equivalent

Calculate the human age equivalent of a dog based on their age and breed size category (small, medium, large, or giant), using modern veterinary curves.

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Soil Plasticity Index Calculator

Calculate Plasticity Index (PI) from Liquid Limit (LL) and Plastic Limit (PL), and interpret soil state using the Atterberg limits chart.

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Karat purity (Karat ↔ Fineness ↔ % gold)

Convert gold purity levels between Karat values, parts-per-thousand millesimal fineness, and pure gold percentage.

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Species-Specific Drug Dosing

Calculate animal weight-based dosages, target mg requirements, and liquid volumes across different species: dogs, cats, horses, cattle, and rabbits.

health

Watch beat rate — BPH ↔ Hz ↔ vibrations per hour

Convert mechanical watch balance wheel frequencies between Beats Per Hour (BPH), Vibrations Per Hour, and Hertz (Hz).

watchmaking-horology

Arrow spine ↔ draw weight + length — stiffness matching

Estimate required arrow static spine rating (stiffness) based on bow draw weight, arrow length, and bow type.

archery-ballistics

Color Temperature Converter

Convert between color temperature in Kelvin and Mired units, with descriptive lighting labels and photographic application guides.

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Pump Efficiency Calculator

Calculate pump efficiency and hydraulic power based on volumetric flow rate, head height, fluid density, and input shaft power.

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Barometric Pressure Tendency Analyzer

Analyze changes in barometric pressure over time to predict short-term local weather trends.

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Servo angle ↔ PWM pulse width

Convert between servo rotation angle in degrees and standard PWM pulse width in microseconds, with continuous rotation presets.

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Zipper Length & Size Converter

Convert zipper lengths between centimeters and inches, and explore standard zipper gauge size applications.

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Carbon Footprint Calculator

Convert between distance driven (km or miles) and greenhouse gas emissions (kg CO2) across various vehicle fuel types and efficiencies.

environment

USCS Soil Classification Solver

Classify soil type under the Unified Soil Classification System (USCS) using sieve analysis and Atterberg limits.

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Sail area ↔ displacement ratio

Calculate Sail Area to Displacement Ratio (SADR) to evaluate a sailboat’s performance characteristics, speed potential, and light-wind capability.

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Precipitation Unit Converter

Convert rainfall and precipitation depth between millimeters, inches, and liters per square meter.

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Layer height ↔ print time estimator

Estimate 3D print duration changes and total layer counts when switching layer heights and print speeds.

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