anonymous
  • anonymous
Why is it necessary to introduce the concept of pressure? (is force not enough?)
Physics
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chestercat
  • chestercat
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anonymous
  • anonymous
Force isn't enough in certain instances. It takes little force to pop a balloon with a needle. It takes more force to penetrate a balloon with the tip of a pen. This is because the tip of the needle has smaller area than the tip of a pen. If we are talking about popping a balloon, force is not enough. Pressure is more pertinent.
theEric
  • theEric
Great example, @wio !! :) Pressure is also important in hydraulics. And it is the reason why a balloon can be inflated in the first place (air inside presses out more on the surface area than the outside environment pushes in). And another one is, why do tractors have such big back tires? Well, a big reason is that the back tires will be exerting a larger force on the ground. If they were small, then they would sink into the mud and dirt! \(P=\dfrac{F}{A}\) Large tire area means pressure will be less, even under the same force of weight! Makes farmers happy.
anonymous
  • anonymous
Yes.. so to sum it up.. if you want to know how your force would affect something (not the dynamics.. not the acceleration.. for acceleration force alone is enough), but m talking about maybe deformation, or maybe how much pain it causes or maybe will it tear through or not?.. all that depends upon how much force comes on how much area.. So for dynamics.. force alone is enough (to understand the motion and stuff), but for statics like elasticity and all.. its pressure that matters! if i ask 10N acts on a mass of 1 kg whats the acceleration.. u would say.. gee thats easy 10m/s^2 now i ask 10N is acted on your hand.. what happens to your hand? that depends..if it comes on a big area.. then you are affected (imagine someone sitting on your palm.. hardly matters right? ).. but if its a small area.. it can even tear through your skin (imagine small force put by needle ) hope you get a better feeling for pressure now :) :) :) another example.. why wouldn't u sleep on a rock.. but would prefer a pillow? cause the force that rock would put on you would be the same as that of the pillow .. but since pillow moulds into the shape of your head (or face.. depending on how you sleep :P).. and there by increasing area and decreasing pressure!

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theEric
  • theEric
Very nice summation, @Mashy ! :)

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