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WorksheetsDay 39-Oct 29-worksheet-Btech-Pressure contd. & hydrostat forces
Total questions: 15
Worksheet time: 11mins
A differential U-tube manometer compares two points in a water line. The mercury (SG = 13.6) column shows a level difference of 0.18 m. Find the pressure difference between the two points in kPa. (Take ρ_water = 1000 kg/m³, g = 9.81 m/s².)
(a)
A vertical rectangular plate (height 2.0 m, width 1.5 m) has its top edge 1.0 m below a free water surface. Find (i) the resultant hydrostatic force, and (ii) the depth of the centre of pressure below the free surface.
(a)
A horizontal circular hatch of diameter 1.0 m is located at a uniform depth of 5.0 m below the free water surface. Find the resultant hydrostatic force and the point of action.
(a)
The hydrostatic pressure force exerted by a static fluid on a plane surface always acts
Tangential to the surface
Normal to the surface
At any arbitrary angle
Parallel to the base
For which plane surface is the centroidal depth (h̄) equal to the depth of centre of pressure (h*)?
Inclined surface
Vertical surface
Horizontal surface
Curved surface
The expression of hydrostatic force on an inclined surface is independent of
Area
Density
Angle of inclination (θ)
Depth
For the same fluid and area, which plane position gives the highest hydrostatic force?
Fully horizontal
Vertical
Inclined at 45°
All use the same expression; the magnitude varies via centroidal depth
The centre of pressure always lies
Above the centroid
At the centroid
Below the centroid
Coincident with free surface
For a triangular surface with its apex at the top and base at bottom, h* equals
h/2
3h/4
h/3
2h/3
For a semi-circular surface, the depth of centre of pressure below free surface is
3πD/32
5D/8
3D/4
3πD/16
For curved surfaces, the hydrostatic pressure force is always taken to act normal to the tangent at every point.
True
False
In vertical and inclined plane surfaces, centroidal depth equals centre of pressure.
True
False
The point of application of the resultant hydrostatic force is called the (a) .
For a triangle with base at the top on the free surface of liquid and apex at the bottom, centre of pressure h* below the free surface = (a) .
For a full circular plane area, the depth of centre of pressure is (a) .
