Water falls into a vane and it ejected through two pipes. The inlet has a cross-sectional areas of AO and the flowrate is Q0. The exits have flow rates of Q1 and Q2, and cross-sectional areas of A1 and A2, respectively, as shown in Figure Q2. Pipes 1 and 2 are deflected at angles of 01 and 02 with respect to the horizontal, as shown. Assume that the fluid at each inlet and outlet is at atmospheric pressure. The flowrates do not change with time. 1. Find an expression for Q2 2. If the horizontal force on the vane is zero, find an expression for Q2 in terms of the other flow rates, areas and angles. 3. Find an expression for the vertical force on the vane in terms of the flow rates, areas and angles

Elements Of Electromagnetics
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Water falls into a vane and it ejected through two pipes. The inlet has a cross-sectional areas of AO
and the flowrate is Q0. The exits have flow rates of Q1 and Q2, and cross-sectional areas of A1 and
A2, respectively, as shown in Figure Q2. Pipes 1 and 2 are deflected at angles of 01 and 02 with respect
to the horizontal, as shown.
Assume that the fluid at each inlet and outlet is at atmospheric pressure. The flowrates do not change
with time.
1. Find an expression for Q2
2. If the horizontal force on the vane is zero, find an expression for Q2 in terms of the
other flow rates, areas and angles.
3. Find an expression for the vertical force on the vane in terms of the flow rates, areas and angles
Q₂₁
1
Ꮎ .
1
A₁
Qo
Ao
0.
2
A₂
Q₂
Transcribed Image Text:Water falls into a vane and it ejected through two pipes. The inlet has a cross-sectional areas of AO and the flowrate is Q0. The exits have flow rates of Q1 and Q2, and cross-sectional areas of A1 and A2, respectively, as shown in Figure Q2. Pipes 1 and 2 are deflected at angles of 01 and 02 with respect to the horizontal, as shown. Assume that the fluid at each inlet and outlet is at atmospheric pressure. The flowrates do not change with time. 1. Find an expression for Q2 2. If the horizontal force on the vane is zero, find an expression for Q2 in terms of the other flow rates, areas and angles. 3. Find an expression for the vertical force on the vane in terms of the flow rates, areas and angles Q₂₁ 1 Ꮎ . 1 A₁ Qo Ao 0. 2 A₂ Q₂
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