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Solution of questions 1.1 to 1.28

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Question 1.2

Determine the dimensions, in both the FLT system and the MLT system, for

(a) The product of mass times velocity,

(b) The product of force times volume, and (c) kinetic energy divided by area.

Question 1.4

Determine the dimensions, in both the FLT system and the MLT system, for

(a) The product of force times acceleration,

(b) The product of force times velocity divided by area, and

(c) Momentum divided by volume.

Question 1.6

Verify the dimensions, in both the FLT system and the MLT

system, of the following quantities which appear in Table 1.1:

(a) frequency,

(b) stress,

(c) strain,

(d) Torque

(e) Work

Question 1.8:

(a) Acceleration

(b) Stress

(c) Moment of force

(d) Volume

(e) Work

Question1.10

If P is a force and x is a length, what are the dimensions (in the FLT system) of

Question 1.12

If V is a velocity, determine the dimensions of Z, and G, which appear in the dimensionally homogeneous equation

Question 1.14

Energy lose per unit weight of fluid is given by:

Question 1.16

….. (1)

Q1.18

The force, P ,that is exerted on a spherical particle moving slowly through a liquid is given by the equation

Q1.20.

(a) 10.2

Q.22

(a)

Q24. For Table 1.4 verify the conversion relationships for: ac-celebration, (b) density, (c) pressure, and (d) volume flow rate.

Q26. Dimensionless combinations of quantities (commonly called dimensionless parameters) play an important role in fluid me-chanics. Make up five possible dimensionless parameters by using combinations of some of the quantities listed in Table 1.1

Q.30

(a) Volume of cloud is 1 .

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Question 1.2

Determine the dimensions, in both the FLT system and the MLT system, for

(a) The product of mass times velocity,

(b) The product of force times volume, and (c) kinetic energy divided by area.

Question 1.4

Determine the dimensions, in both the FLT system and the MLT system, for

(a) The product of force times acceleration,

(b) The product of force times velocity divided by area, and

(c) Momentum divided by volume.

Question 1.6

Verify the dimensions, in both the FLT system and the MLT

system, of the following quantities which appear in Table 1.1:

(a) frequency,

(b) stress,

(c) strain,

(d) Torque

(e) Work

Question 1.8:

(a) Acceleration

(b) Stress

(c) Moment of force

(d) Volume

(e) Work

Question1.10

If P is a force and x is a length, what are the dimensions (in the FLT system) of

Question 1.12

If V is a velocity, determine the dimensions of Z, and G, which appear in the dimensionally homogeneous equation

Question 1.14

Energy lose per unit weight of fluid is given by:

Question 1.16

….. (1)

Q1.18

The force, P ,that is exerted on a spherical particle moving slowly through a liquid is given by the equation

Q1.20.

(a) 10.2

Q.22

(a)

Q24. For Table 1.4 verify the conversion relationships for: ac-celebration, (b) density, (c) pressure, and (d) volume flow rate.

Q26. Dimensionless combinations of quantities (commonly called dimensionless parameters) play an important role in fluid me-chanics. Make up five possible dimensionless parameters by using combinations of some of the quantities listed in Table 1.1

Q.30

(a) Volume of cloud is 1 .

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