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How to derive
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Can some one help me derive "hydrostatic pressure" by using the first laws ? (e.g. F=ma) prof was really helpful in explaining ... and its going to be on the mid-term for sure so can anyone help ? Please and thanks yous ^^ |
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Re: How to derive
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If you are talking about the derivation of the P=Ïgh P= pressure of water at acertain depth. Then first take F=ma (1) p=F/A (2) Ï=m/V (3) Take eq.1 and substitute it in eq.2 it should become "p=ma/A" where a=acceleration and A=Area Take eq.3 and rearrange it as m=ÏV then substitute in "p=ma/A" this ahould give eq.4 "p=ÏVa/A" Now if you realize that Volume or V=A x H i.e volume is equal to Area muliplied by height,all that remains is to substitute This equation into the formula and "p=Ï(A x H)a/A". A and A cancel each other and here you have it. replace a with g as the acceleration acting at all times will be equal to g, and you have the formula P=Ïgh Ï= density p=simple pressure formula F=Force
Pretend that I am saying somethiong profound.......
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