1.A pipe 100 mm bore diameter carries oil of density 900 kg/m³ at a rate of 4 kg/s. The pipereduces to 60 mm bore diameter and rises 120 m in altitude. The pressure at this point isatmospheric (zero gauge). Assuming no frictional losses, determine:i. The volume/s (4.44 dm³/s)11. The velocity at each section (0.566 m/s and 1.57 m/s)1. The pressure at the lower end (1.06 MPa)2.A pipe 120 mm bore diameter carries water with a head of 3 m. The pipe descends 12 m inaltitude and reduces to 80 mm bore diameter. The pressure head at this point is 13 m. Thedensity is 1000 kg/m³. Assuming no losses, determinei. The velocity in the small pipe (7 m/s)ii. The volume flow rate. (35 dm³/s)3.A horizontal nozzle reduces from 100 mm bore diameter at inlet to 50 mm at exit. It carriesliquid of density 1000 kg/m³ at a rate of 0.05 m³/s. The pressure at the wide end is 500 kPa(gauge). Calculate the pressure at the narrow end neglecting friction (196 kPa)4.A pipe carries oil of density 800 kg/m3. At a given point (1) the pipe has a bore area of0.005 m and the oil flows with a mean velocity of 4 m/s with a gauge pressure of 800 kPa.Point (2) is further along the pipe and there the bore area is 0.002 m² and the level is 50 mabove point (1). Calculate the pressure at this point (2). Neglect friction (374 kPa)5.A horizontal nozzle has an inlet velocity up and an outlet velocity u₂ and discharges into theatmosphere. Show that the velocity at exit is given by the following formulae.U₂ = {24p/p+u²}"andU₂ = {2g4h+u₂²)*

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1. A pipe 100 mm bore diameter carries oil of density 900 kg/m3 at a rate of 4 kg/s. The pipe reduces to 60 mm bore diameter and rises 120 m in altitude. The pressure at this point is atmospheric (zero gauge). Assuming no frictional losses, determine: i. The volume/s (4.44 dm3/s) 11. The velocity at each section (0.566 m/s and 1.57 m/s) 1. The pressure at the lower end. (1.06 MPa)

1. A pipe 100 mm bore diameter carries oil of density 900 kg/m3 at a rate of 4 kg/s. The pipe reduces to 60 mm bore diameter and rises 120 m in altitude. The pressure at this point is atmospheric (zero gauge). Assuming no frictional losses, determine: i. The volume/s (4.44 dm3/s) 11. The velocity at each section (0.566 m/s and 1.57 m/s) 1. The pressure at the lower end. (1.06 MPa)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.

Question

1.
A pipe 100 mm bore diameter carries oil of density 900 kg/m³ at a rate of 4 kg/s. The pipe
reduces to 60 mm bore diameter and rises 120 m in altitude. The pressure at this point is
atmospheric (zero gauge). Assuming no frictional losses, determine:
i. The volume/s (4.44 dm³/s)
11. The velocity at each section (0.566 m/s and 1.57 m/s)
1. The pressure at the lower end (1.06 MPa)
2.
A pipe 120 mm bore diameter carries water with a head of 3 m. The pipe descends 12 m in
altitude and reduces to 80 mm bore diameter. The pressure head at this point is 13 m. The
density is 1000 kg/m³. Assuming no losses, determine
i. The velocity in the small pipe (7 m/s)
ii. The volume flow rate. (35 dm³/s)
3.
A horizontal nozzle reduces from 100 mm bore diameter at inlet to 50 mm at exit. It carries
liquid of density 1000 kg/m³ at a rate of 0.05 m³/s. The pressure at the wide end is 500 kPa
(gauge). Calculate the pressure at the narrow end neglecting friction (196 kPa)
4.
A pipe carries oil of density 800 kg/m3. At a given point (1) the pipe has a bore area of
0.005 m and the oil flows with a mean velocity of 4 m/s with a gauge pressure of 800 kPa.
Point (2) is further along the pipe and there the bore area is 0.002 m² and the level is 50 m
above point (1). Calculate the pressure at this point (2). Neglect friction (374 kPa)
5.
A horizontal nozzle has an inlet velocity up and an outlet velocity u₂ and discharges into the
atmosphere. Show that the velocity at exit is given by the following formulae.
U₂ = {24p/p+u²}"
and
U₂ = {2g4h+u₂²)*

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