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Chapter:

Buoyancy-and-Floatation

1. A rectangular tank is moving horizontally in direction of its length with a constant acceleration of 4.8 m/s². The length of tank is 7 m and depth is 1.5 m. If tank is open at top n calculate maximum pressure intensity at bottom.

6.3 N/cm² 3.15 N/cm² 12.6 N/cm² 1.6 N/cm²

3.15 N/cm²

tan?=a/g
tan?=4.8/9.8
?=26.07?
h= d+(L/2)tan?
= 1.5+3.5tan26.07
= 3.21 m
p=?*g*h
=3.15 N/cm².

Hint Answer

2. A square lamina (each side equal to 2m) is submerged vertically in water such that upper edge of lamina is at a depth of 0.5 m from free surface. What will be total water pressure (in kN) on lamina?

$A square lamina (each side equal to 2m) is submerged vertically in water such that upper edge of lamina is at a depth of 0.5 m from free surface. What will be total water pressure (in kN) on lamina?\r\n \r\n$

19.62 39.24 58.86 78.48

58.86

Total liquid pressure on lamina = F = ?yA, where ? = specific weight of liquid, y = depth of centroid of lamina from free surface, A= area of centroid. Now, ? = 9:81 * 10³ N / m³; y = 0.5 + ¹ ? ₂ * 2m = 1.5 m, A = 2 * 2 m² = 4 m². Hence, F = 58.86 kN.

Hint Answer

3. A rectangular plate surface 3m wide and 5m deep lies in fluid of specific gravity .9 such that its plane makes an angle of 45⁰ with water surface, upper edge 3m below free water surface. Determine total pressure.

86.5 N/cm² 173 N/cm² 43.25 N/cm² None of the mentioned

86.5 N/cm²

Total pressure, F=w*a*?=w*A*(y+dsin?)=9.81*900*15*(3+5sin45)
=86.5 N/cm².

Hint Answer

4. The upper and lower edges of a square lamina of length 4 m are at a depths of 1 m and 3 m respectively in water. What will be total pressure (in kN) on lamina?

$The upper and lower edges of a square lamina of length 4 m are at a depths of 1 m and 3 m respectively in water. What will be total pressure (in kN) on lamina?\r\n \r\n$

156.96 235.44 313.92 392.4

313.92

Total liquid pressure on lamina = F = ?yA, where ? = specific weight of liquid, y = depth of centroid of lamina from free surface, A= area of centroid. Now, ? = 9:81 * 0.9 * 10³ N / m³; y = 1 + 3-1 / 2 = 2m, A = 4 * 4 = 16 m². Hence, F = 313.92 kN.

Hint Answer

5. A large tank is filled with three liquids of densities ρ, 2ρ and 3ρ up to heights of ^h ⁄ ₆, ^h ⁄ ₃ and ^h ⁄ ₂ respectively. What will be ratio of instantaneous velocity of discharge through a small opening at base of tank in this case to that if container is filled with liquid of density ρ only? (assume that diameter of opening is negligible compared to height of liquid column)

$A large tank is filled with three liquids of densities ρ, 2ρ and 3ρ up to heights of h ⁄ 6, h ⁄ 3 and h ⁄ 2 respectively. What will be ratio of instantaneous velocity of discharge through a small opening at base of tank in this case to that if container is filled with liquid of density ρ only? (assume that diameter of opening is negligible compared to height of liquid column)\r\n \r\n$

Option A Option B Option C Option D

Option D

Instantaneous velocity of discharge

$A large tank is filled with three liquids of densities ?, 2? and 3? up to heights of h ? 6, h ? 3 and h ? 2 respectively. What will be ratio of instantaneous velocity of discharge through a small opening at base of tank in this case to that if container is filled with liquid of density ? only? (assume that diameter of opening is negligible compared to height of liquid column)\r\n \r\n$

where h= height of liquid column.

Hint Answer

6. A tank containing water upto a depth of 650 mm is stationary. Find force exerted by fluid of specific gravity .55 on side of tank,width of tank is 1.5m

1709.9 N 3419.4N 6838.8 N 1367.75 N

1709.9 N

p=?*g*h
=550*9.81*0.65
=3507 N/m²
F=wA?
= 0.5*0.65*3507*1.5
= 1709.7N.

Hint Answer

7. The upper and lower edges of a square lamina of length 4 m are at a depths of 1 m and 3 m respectively in water. What will be depth (in m) of centre of pressure?

$The upper and lower edges of a square lamina of length 4 m are at a depths of 1 m and 3 m respectively in water. What will be depth (in m) of centre of pressure?\r\n \r\n$

1.33 1.57 2.17 2.33

2.17

The depth of centroid y and centre of pressure y_CP are related by:

$The upper and lower edges of a square lamina of length 4 m are at a depths of 1 m and 3 m respectively in water. What will be depth (in m) of centre of pressure?\r\n \r\n$

where I= moment of inertia and A = area and ? = angle of inclination of lamina to horizontal. Now,

Hint Answer

8. A tank containing water upto a depth of 750 mm is moving vertically downward with a constant acceleration of 3.45 m/s². Find force exerted by fluid of specific gravity .85 on side of tank,width of tank is 2m

2682.75 N 5365.5 N 1341.25 N 4024.5 N

2682.75 N

p=?*g*h*(1-a/g)
=750*9.81*0.75*(1-3.45/9.81)
=3577 N/m²
F=wA?
= 0.5*0.75*3984.5*2
= 2682.75 N.

Hint Answer

9. The magnitude of total pressure and centre of pressure is independent on shape of submerged plane surface.

True False

False

For differently shaped surfaces, area and hence position of centroid will be different. Hence, magnitude of total pressure and centre of pressure is dependent on shape of submerged plane surface.

Hint Answer

10. The total pressure or pressure intensity is zero for any point on inclined surface in space.

True False

True

Total pressure, F=w*a*?
In space, w=0 as g=0
Hence, f=0.

Hint Answer

Nexttt

All Chapters

View all Chapter and number of question available From each chapter from Fluid-Mechanics-Mcqs

Properties of Fluids

Properties of Fluids

Pressure and Its Measurement

Pressure and Its Measurement

Hydrostatic Forces on Surfaces

Hydrostatic Forces on Surfaces

Buoyancy and Floatation

Buoyancy and Floatation

Kinematics of Flow and Ideal Flow

Kinematics of Flow and Ideal Flow

Fluid Dynamics

Orifices, Mouthpieces, Notches and Weirs

Orifices, Mouthpieces, Notches and Weirs

Viscous Flow & Turbulent Flow

Viscous Flow & Turbulent Flow

Flow Through Pipes

Flow Through Pipes

Indicator Diagrams

Indicator Diagrams

Dimensional and Model Analysis

Dimensional and Model Analysis

Boundary Layer Flow & Forces on Sub-merged Bodies

Boundary Layer Flow & Forces on Sub-merged Bodies

Compressible Flow

Compressible Flow

Flow in Open Channels

Flow in Open Channels

Non Uniform Flow in Channels

Non Uniform Flow in Channels

Impact of Jets and Jet Propulsion

Impact of Jets and Jet Propulsion

Topics

This Chapter Buoyancy-and-Floatation consists of the following topics

Hydrostatic Forces on Surfaces

A rectangular tank is moving horizontally in direction of its length with a constant acceleration of 4.8 m/s². The length of tank is 7 m and depth is 1.5 m. If tank is open at top n calculate maximum pressure intensity at bottom.

A square lamina (each side equal to 2m) is submerged vertically in water such that upper edge of lamina is at a depth of 0.5 m from free surface. What will be total water pressure (in kN) on lamina?

$A square lamina (each side equal to 2m) is submerged vertically in water such that upper edge of lamina is at a depth of 0.5 m from free surface. What will be total water pressure (in kN) on lamina?\r\n \r\n$

;

A rectangular plate surface 3m wide and 5m deep lies in fluid of specific gravity .9 such that its plane makes an angle of 45⁰ with water surface, upper edge 3m below free water surface. Determine total pressure.

The upper and lower edges of a square lamina of length 4 m are at a depths of 1 m and 3 m respectively in water. What will be total pressure (in kN) on lamina?

$The upper and lower edges of a square lamina of length 4 m are at a depths of 1 m and 3 m respectively in water. What will be total pressure (in kN) on lamina?\r\n \r\n$

;

A large tank is filled with three liquids of densities ρ, 2ρ and 3ρ up to heights of ^h ⁄ ₆, ^h ⁄ ₃ and ^h ⁄ ₂ respectively. What will be ratio of instantaneous velocity of discharge through a small opening at base of tank in this case to that if container is filled with liquid of density ρ only? (assume that diameter of opening is negligible compared to height of liquid column)

$A large tank is filled with three liquids of densities ρ, 2ρ and 3ρ up to heights of h ⁄ 6, h ⁄ 3 and h ⁄ 2 respectively. What will be ratio of instantaneous velocity of discharge through a small opening at base of tank in this case to that if container is filled with liquid of density ρ only? (assume that diameter of opening is negligible compared to height of liquid column)\r\n \r\n$

;

A tank containing water upto a depth of 650 mm is stationary. Find force exerted by fluid of specific gravity .55 on side of tank,width of tank is 1.5m

The upper and lower edges of a square lamina of length 4 m are at a depths of 1 m and 3 m respectively in water. What will be depth (in m) of centre of pressure?

$The upper and lower edges of a square lamina of length 4 m are at a depths of 1 m and 3 m respectively in water. What will be depth (in m) of centre of pressure?\r\n \r\n$

;

A tank containing water upto a depth of 750 mm is moving vertically downward with a constant acceleration of 3.45 m/s². Find force exerted by fluid of specific gravity .85 on side of tank,width of tank is 2m

The magnitude of total pressure and centre of pressure is independent on shape of submerged plane surface.

The total pressure or pressure intensity is zero for any point on inclined surface in space.

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