Question

Hanging tanks(old exam question, no solutions provided anywhere). (bernoulli, free jet, tension)

5 Hanging tanks (20 pts.) Vout D- Ta Vin ha hanging tanks Water flows from a hanging tank into another independent hanging tank (see figure). The water jet has a diameter D = 0.20 m and height h12 = 4.0 m. At the instant sketched in the figure, the water heights in the tanks are h 3.0 m and h2 2.0 m respectively. The weights of the tanks including the water that they hold in the instant sketched are Wi and W2 respectively. Consider water to be inviscid for this problem. a) Using Bernouilli's equation calculate Vout and in At the beginning of the following questions explain and indicate -using sketch- the control volumes used to answer. Sketch and explain the direction of the forces and the surface normal vector in every case a b) Give the expression, as a function of Wi, of the vertical tension Ti needed to hold the first tank in a fixed position. c) Give the expression, as a function of W2, of the vertical tension T2 needed to hold the second tank in a fixed position

Answer 1

Vout ATA Viy a) Vout ,Nin Asurnauli at Daud Vot Vout Jaxa 81x 3 P-P-Paty 7.6720 mIs V - Vout Lwruauli Huorem at and 3 Z1-3


Vi Jxq81 x4 8.8588s W,- Vout A WI-924-56418) N W2 t A L02t X8858g+ * TI X0 -2* XO 25 06 XLODO (W2 1232.1348) +