. Applied calculus; principles and applications . If the orifice extends to the surface and the bottom is hbelow, Q = hV2~g^-Uh- x)t J = f hh V2^, (5) which is just f the quantity that would flow through an orificeof equal area placed horizontally at the depth h, the vessel beingkept constantly full. The mean velocity Vm is seen in (5) to be | V2 gh. For any vertical orifice formed by a plane curve whosevertex 0 is at the depth hi below the surface of the liquid in DISCHARGE FROM AN ORIFICE 471 a vessel of height h, kept constantly full, the formula for dis-charge is Q = J^ 2 y V2g{h + x) dx.

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. Applied calculus; principles and applications . If the orifice extends to the surface and the bottom is hbelow, Q = hV2~g^-Uh- x)t J = f hh V2^, (5) which is just f the quantity that would flow through an orificeof equal area placed horizontally at the depth h, the vessel beingkept constantly full. The mean velocity Vm is seen in (5) to be | V2 gh. For any vertical orifice formed by a plane curve whosevertex 0 is at the depth hi below the surface of the liquid in DISCHARGE FROM AN ORIFICE 471 a vessel of height h, kept constantly full, the formula for dis-charge is Q = J^ 2 y V2g{h + x) dx. (6) To get the time of emptying the vessel; let the surface bez below the top at the end of the timet, z = 0 when ^ = 0; then the quantitydischarged in an element of time is dQ = 2 V2g I \ Vx-\-hi- zdx dt, z being constant during this integration; and since in the same time the quantity discharged through the orifice must be A dz, A being the area of the section of the vessel at depth z, it follows that (7).

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Keywords: ., bookcentury1900, bookdecade1910, bookpublishernewyo, bookyear1919