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Measurement Precision Visualizer - Vernier, Screw Gauge & Optical
Resolving Length: Vernier vs. Micrometer vs. Light Wave
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How to use Measurement Precision Visualizer - Vernier, Screw Gauge & Optical
- Choose values for the labelled controls: Adjust Specimen Thickness: 0.050 mm (50 µm); Slide Vernier Jaw Position; Rotate Circular Thimble / Spindle; Displace Movable Mirror (Nanometer scale).
- Use the visualiser controls to explore the result.
- Change one input at a time and compare the result with the explanation below.
How it works
Resolving Length: Vernier vs. Micrometer vs. Light Wave
20 divisions on the sliding scale
Pitch 1 mm & 100 circular divisions
Within a wavelength of visible light (~600 nm)
The device with the smallest Least Count (LC) resolves the finest increments and is thus the most precise .
Place an ultra-thin object between the three instruments to see why Vernier & Screw Gauge fail when Optical shines!
Drag the sliding scales or turn the thimble to see how readings are physically constructed.
Mechanical screws hit friction & atomic surface roughness limits (~10 µm). Light waves act as frictionless rulers with nanometer accuracy.
Visualizing the enormous gap between human machining tolerances and the wavelength of light.
Mathematical proof demonstrating the numerical hierarchy of all 3 options.
Standard Vernier Calliper has Main Scale Division $\text{MSD} = 1\text{ mm}$.
20 Vernier Scale Divisions ($\text{VSD}$) coincide with 19 $\text{MSD}$:
Frequently asked questions
What does Measurement Precision Visualizer - Vernier, Screw Gauge & Optical help me explore?
Resolving Length: Vernier vs. Micrometer vs. Light Wave
How do I use this visualiser?
Choose values for the labelled controls: Adjust Specimen Thickness: 0.050 mm (50 µm); Slide Vernier Jaw Position; Rotate Circular Thimble / Spindle; Displace Movable Mirror (Nanometer scale). Use the visualiser controls to explore the result. Change one input at a time and compare the result with the explanation below.
What should I know when interpreting this visualiser?
Resolving Length: Vernier vs. Micrometer vs. Light Wave
20 divisions on the sliding scale
Pitch 1 mm & 100 circular divisions
Within a wavelength of visible light (~600 nm)
The device with the smallest Least Count (LC) resolves the finest increments and is thus the most precise .
Place an ultra-thin object between the three instruments to see why Vernier & Screw Gauge fail when Optical shines!
Drag the sliding scales or turn the thimble to see how readings are physically constructed.
Mechanical screws hit friction & atomic surface roughness limits (~10 µm). Light waves act as frictionless rulers with nanometer accuracy.
Visualizing the enormous gap between human machining tolerances and the wavelength of light.
Mathematical proof demonstrating the numerical hierarchy of all 3 options.
Standard Vernier Calliper has Main Scale Division $\text{MSD} = 1\text{ mm}$.
20 Vernier Scale Divisions ($\text{VSD}$) coincide with 19 $\text{MSD}$: