Physics for Students of Medicine

Cover Physics for Students of Medicine
Physics for Students of Medicine
Alfred Daniell
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The Pressure on the orifice is, accordingly, neater in a heavy liquid than in a lighter one under an equal Head.
According to what is known as Toirioelli's Law, a jet of liquid issues from an orifice with a velocity exactly the same as that which any given portion of the liquid would have acquired if it had fallen freely L 146 MATTER downwards from the level of the surface of the liquid to the level of the orifice. The actual speed is such that this law is very nearly obeyed ; there is hardly o
...ne per cent of error in the result.
This speed is v (cm. per sec.) = V2 x 981 x H = 44-3\/h7 where H is measured in cms. It will be observed, on looking at this formula, that nothing is said in it about p, the density of the liquid ; the fact is that the velocity -», for a given head H, does not depend on the density p ; the velocity of the out- flowing stream will be the same whether we fill our given tank to a given height with water or with mercury. Though the driving pressure is greater in a heavier fluid, the inertia of the mass to be set in motion is increased in precisely the same ratio : and thus nothing is gained in speed by endeavouring to utilise the greater weight of the heavier liquid, so long as the liquid to be driven is the same as that whose weight drives the stream.


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