SECTION B: 60 MARKS
Answer any THREE questions in this section
a) The right limb of a simple U-tube manometer containing is open to the atmosphere while the left limb is connected to a pipe in which a fluid of sp. Gr. 0.9 is flowing. The centre of the pipe is \( 12 \mathrm{~cm} \) below the level of mercury in the right limb. Find the pressure of the fluid in the pipe if the difference of mercury level in the two limbs is \( 20 \mathrm{~cm} \).
(10 marks)
b) A hydraulic press has a ram of \( 20 \mathrm{~cm} \) diameter and a plunger of \( 3 \mathrm{~cm} \) diameter. Find the weight lifted by the hydraulic press when the force applied at the plunger is \( 30 \mathrm{KN} \).
5.
\( 30 \times 3=90 \mathrm{Vm}^{2}=I_{2} / T \)
a) Identify and explain FOUR main parts of a centrifugal pump.
Duting
(10 marks)
0.9
al.
\( a^{2} \)
mptiver
\( f^{2}+ \)
(8 Marks)
b) The internal and external diameters of the impeller of a centrifugal pump are \( 200 \mathrm{~mm} \) and \( 400 \mathrm{~mm} \) respectively. The pump is running at \( 1200 \mathrm{rpm} \). The vane angles of the impeller at inlet and outlet are \( 20^{\circ} \) and \( 30^{\circ} \) respectively. The water enters the impeller radially and velocity of flow is constant. Determine the work done by the impeller per unit weight of water.
(12 Marks)
6. A \( 30 \mathrm{~cm} \) diameter pipe, conveying water, branches into two pipes of diameters \( 20 \mathrm{~cm} \) and \( 15 \mathrm{~cm} \) respectively. If the average velocity in the \( 30 \mathrm{~cm} \) diameter pipe is \( 2.5 \mathrm{~m} / \mathrm{s} \), find the discharge in this pipe and determine the velocity in \( 15 \mathrm{~cm} \) pipe if the average velocity in \( 20 \mathrm{~cm} \) diameter pipe is \( 2 \mathrm{~m} / \mathrm{s} \).
(20 Marks)
7.
a) Determine the dimensions of each of the following quantities.
(4 Marks)
i. Angular acceleration.
ii. Discharge.
b) State Bernoulli's theorem for steady flow of an incompressible fluid.
(2 Marks)
c) The water is flowing through a pipe having diameters \( 20 \mathrm{~cm} \) and \( 10 \mathrm{~cm} \) at section 1 and 2 respectively. The rate of flow through the pipe is 35 litres/s. Section 1 is \( 6 \mathrm{M} \) above the datum line and section 2 is \( 4 \mathrm{M} \) above the datum. If the pressure at section 1 is \( 39.24 \mathrm{~N} / \mathrm{cm}^{2} \), find the intensity of pressure at section 2 .
(14 Marks)
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