======Measuring the Gravitational Constant====== **Materials: **{{$demo.materials_description}}\\ **Difficulty: **{{$demo.difficulty_description}}\\ **Safety: **{{$demo.safety_description}}\\ \\ **Categories:** {{$demo.categories}} \\ **Alternative titles:** The Cavendish Experiment ====Summary==== {{$demo.summary}} ====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: {{youtube>MbucRPiL92Q?}}\\ Watch gravity pull two metal balls together - Steve Mould: {{youtube>70-_GBymrck?}}\\ ====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.)