demonstrations:measuring_the_gravitational_constant
Measuring the Gravitational Constant
Materials: ★★★ Requires materials not commonly found in school laboratories
Difficulty: ★★☆ Can be done by science teachers
Safety: ★☆☆ Minimal safety procedures required
Categories: Force
Alternative titles: The Cavendish Experiment
Summary
The Cavendish Experiment, first performed in 1797–98 by Henry Cavendish, measures the tiny gravitational attraction between lead spheres using a torsion balance. From this, the gravitational constant (G) can be determined.
Procedure
- Suspend a lightweight rod horizontally using a fine torsion wire.
- Attach small lead spheres to each end of the rod.
- Place two much larger lead spheres close to the smaller ones, so that their gravitational attraction slightly twists the torsion wire.
- Observe and record the tiny angular deflection of the rod using a scale or mirror and light beam.
- Repeat the experiment by moving the large masses to opposite sides and measuring the change in deflection.
- Calculate the gravitational constant (G) using the measured forces, masses, and distances.
Links
The Cavendish Experiment - Obvious Gravitational Attraction - MrLundScience:
Watch gravity pull two metal balls together - Steve Mould:
Variations
- Use different torsion wire thicknesses to compare sensitivity.
- Try different materials or sizes of test masses to observe how gravitational force depends on mass.
- Demonstrate a simplified version with lightweight spheres and visible deflection (though not sensitive enough to measure G).
Safety Precautions
- Ensure the torsion balance setup is stable and isolated from vibrations and air currents.
- Handle heavy lead spheres carefully to avoid injury.
- Avoid direct contact with lead; wash hands after handling or use gloves.
Questions to Consider
- Why was the Cavendish Experiment historically important? (It provided the first accurate measurement of G and allowed calculation of the Earth's mass.)
- Why must the experiment be isolated from vibrations and air currents? (Because the gravitational force measured is extremely small and easily disrupted.)
- How does the gravitational force change with distance between the masses? (It decreases with the square of the distance, according to Newton’s law of universal gravitation.)