On the physics of pressure: how the microscopic world interacts with us

Once you start seeing the effects of pressure somewhere, you will start realising it is actually everywhere. The water in your tap, the clouds that suddenly appear on a sunny day, or the fact you can drive your bike or car on those wheels

Published - August 07, 2024 08:30 am IST

For representative purposes.

For representative purposes. | Photo Credit: iStockphoto

We again have a leopard visiting us on the IIT Kanpur campus. We already have porcupines, a million dogs, nilgais, snakes, and scorpions. Leopards are a new addition to this thriving ecosystem. It’s probably something about the wet monsoon air of Kanpur that beckons these creatures, as well as the students and faculty members. The courses are starting again now after the summer break, as is the grind. As students old and new gather, the academic pressure begins to rise.

Pressure is an interesting thing: we often don’t like it and try to avoid it, but it is indispensable. It’s everywhere and there is a bit of wonderful physics hiding in it.

Pressure is how the microscopic world interacts with us. We don’t see billions of atoms and molecules around us in the air but they hit us continuously all the time, creating what we call air pressure. When you are taking a flight, if there is a risk of the number of air molecules reducing around you, the flight host tells you “the pressure may fall, please use an oxygen mask”. If you want to cook something where you want these air molecules to be more energetic — to strike your vegetables better — you use a pressure cooker. In fact, before putting your vegetables in the cooker, you add water. These water molecules become hot and impact your carrots and potatoes, breaking their molecular bonds and cooking your food. You keep all these molecules locked in a strong metal vessel they can’t escape, increasing the pressure.

But what really is pressure?

Of forces and apples

Pressure and force are deeply related. You may have heard of Isaac Newton as just another of those long-haired physicists, but the basic unit of force is named in his honour: newton (N). A unit is a thing you use to measure quantities or other aggregates of some entity. For example, we measure distances in metres, weights in kilograms, and the amount of milk in litres. Likewise, force — such as when you push or pull a door — can be ‘counted’ in newtons. A fruit, like a small apple, weighs roughly 100 g and will exert a force of about 1 N on your hand. In fact, after a bout of intermittent fasting, if you weigh unreasonably low — like 50 kg — you can instead say you weigh 500 N.

Pressure is the average force spread over any area. Imagine a heavy book is resting on your palm. Now imagine you’re holding the same book up with just one finger. The weight of the book remains the same but it feels heavier because it rests on a tinier region.

A pascal (Pa) is a unit of pressure. One pascal is really a very small amount of pressure. For instance, the same apple on your hand exerts a pressure of about 500 Pa. All the air on top of our heads, right up to space, exerts a pressure of 100,000 Pa — like about 200 apples on your hand!

Like air, all fluids have pressure, too, including our blood. The molecules of blood hit the walls of our arteries at different speeds, creating pressure. When you get your blood pressure measured, the doctor will give you a number like 120/80. These numbers also denote pressure, but not in pascals.

Blood pressure

Just like the atmospheric pressure of air is equivalent to around 200 small apples, it is also equivalent to some amount of liquid. For example, if you are about 10 m underwater, the pressure the water creates on you (aside from the psychological pressure of being unable to breathe) is equivalent to that of the atmosphere.

When you measure blood pressure, if you notice carefully, the doctor will place a cuff around your upper arm and start pumping air. The idea is to bring the pressure of the air around your arm close to that of the pressure of the blood flowing in your arteries, then release it slowly. In older pressure machines, this pressure in the cuff was balanced using a column of liquid in a tube.

The pressure in our blood is about one-fifth that of atmospheric pressure, so if you want to measure with water, you will need two metres of water. That’s very inconvenient to carry around. People therefore looked for a liquid that was heavier than water, thus requiring a smaller quantity of it, which would allow doctors to carry the blood-pressure machines around easily. Mercury is about 15-times heavier than water, so small amounts suffice to balance the cuff pressure. And the 120/80 doctors say is actually 120 mm or 80 mm of mercury: the former is the pressure when your heart beats and the latter, when your heart rests between beats.

How does the pressure machine — or a sphygmomanometer — know when the pressure of the cuff around your arm matches that of the blood in your arteries? This bit of beautiful physics is for another day. If you are interested in learning more, consider taking a physics course.

Pressure cooker

Once you start seeing the effects of pressure somewhere, you will start realising it is actually everywhere. The water in your tap, the clouds that suddenly appear on a sunny day, or the fact you can drive your bike or car on those wheels.

The next time you hear a pressure cooker’s whistle in the kitchen closest to you, don’t just thank yourself or the person cooking your food. Thank the pressure cooker as well.

The author is an assistant professor of physics at IIT Kanpur.

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