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Measuring The Earth With A Wire

Measuring The Earth With A Wire

You can examine the power of gravity on a table top.

Cavendish torsion balance and Cavendish Signature image via Wikimedia Commons | composite image by Lalena Lancaster

Friday, February 6, 2015 - 19:15

Sara Rennekamp, Contributing Editor

(Inside Science, Currents Blog) -- Henry Cavendish was an odd man. He never addressed strangers directly and was petrified of women. He had a staircase built into the back of his house to avoid any encounter with the ladies he employed. When it came time for his final oral exams to complete his natural philosophy degree at Cambridge University – that's what they called a science degree before the advent of modern science and specialized degrees – he dropped out of school all together rather than talk in public.

But, beneath these eccentricities, Henry Cavendish was among the most brilliant minds of the 18th century. He was an accomplished chemist and physicist and made major contributions to electrical research.

But his crowning achievement, and for what he is perhaps best known, was his design of the first experiment to measure the tiny force of gravity between masses in a laboratory.

Gravity is the weakest of the four fundamental forces in the universe. In 1687, Sir Isaac Newton came up with his universal law of gravitation, which posits that all objects that have mass pull each other by an amount that depends on their mass and distance from one another. This pull is pretty evident when we consider the moon’s tendency to stay in orbit around Earth or Earth’s convenient attraction to the sun. But Newton is also saying that smaller objects, like a chair or a pencil, have a gravitational pull. I have a gravitational pull. You have a gravitational pull. Your computer screen has a gravitational pull. Your significant other has a gravitational pull (maybe that’s why you’re so attracted to him or her).

Cavendish demonstrated this using a torsion balance, a horizontally suspended wooden rod with a small lead sphere at each end. Two large lead spheres were fixed in place, 9 inches from each of the smaller spheres. When the torsion balance was released and allowed to move freely, the lead balls would be attracted by the gravitational force.

Vertical section drawing of Cavendish's torsion balance instrument including the building in which it was housed. Figure 1 of Cavendish's paper. Courtesy via Wikipedia

Check out a group of AP Physics students at Bishop O’Connell High School, in Arlington County, Virginia, recreating a simplified version of the experiment more than 200 years later using slightly different materials:

The class shown here is taught by my husband, with whom I share a considerable attraction, gravitationally and otherwise.

After more than a year of observation, Cavendish confirmed that the suspended lead balls would always tend to accelerate toward the large lead masses. He reasoned that this acceleration was caused by the force of gravity on a small scale.

Of course, this marvelous demonstration of gravitational force was only a preamble to Cavendish’s ultimate goal to measure the density of Earth, which he succeeded in doing by using the measurements taken from his experiment and applying them to Newton’s law of gravitation. In fact, the figure he came up with for Earth’s density using his wooden rods and lead spheres is within 1 percent of the figure agreed upon today – a figure obtained using much more sophisticated equipment than what Cavendish had on hand in his day.

Cavendish published his findings in 1798 in the Philosophical Transaction of the Royal Society journal.

So, if I have a gravitational force and you have a gravitational force, then why don’t we all have our own little solar system surrounding us at all times? Because, we live on a gravity trump card. Any gravitational force that we exude is tiny compared to the massive force of the Earth, which has a significantly larger mass than any of the objects that live upon it.

Cavendish’s experiment is a splendid demonstration of the force of gravity on any object with mass from the perspective of Newtonian physics. Einstein’s general theory of relativity, the modern theory of gravity, usually comes into play for much larger masses (think black holes) and size scales (think two stars orbiting each other). But for most situations that you and I encounter every day, Newton’s and Cavendish’s observations are more than enough fodder for wonder.

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