Floating Body
STABILITY OF A FLOATING BODY
Introduction
It is important to know if a body is stable like a ship floating on the surface of a liquid and the stability depends on the height of the center of gravity. In this experiment, the stability of a pontoon will be found by changing its center of gravity at different heights which we can then use to compare to the theoretical stability that was calculated.
Theory
To find out if the floating body is stable, this experiment is to find out the metacentric height, height of buoyancy, and the gradient of stability. The center of buoyancy must be found by shifting weight on the plastic sail. Using the recorded data to find the center of buoyancy must be lower than the center of gravity for it to be stable.
Description of Apparatus
A pontoon that has a rectangular form and a plastic sail to be put a container of water where it will float. The plastic sail has five rows with “V” slows to put the weight to shift its center of gravity. A plumb bob is hanged from the top center of the plastic sail to align with the scale at the bottom of the plastic sail to measure the angle.
Experimental Procedure
First measure the length, breadth of pontoon, and the thickness of sheet metal bottom. Apply the weight on the plastic sail and measure the angle of list for each position on each row.
Results and Calculations
Total weight of floating assembly (W) = 2.42 kg
Adjustable weight (w) = 0.525 kg
Breadth of pontoon (D) = 204 mm
Length of pontoon (L) = 360 mm
Second moment of area I = 2.55* 10^-16 m^4
Volume of water displaced. V = 0.00242 m^3
Height of metacenter above center of buoyancy BM = 1.054 *10^-13 m
Depth of immersion of pontoon = 0.033 m
Depth of center of buoyancy CB = 0.0165m
Height of adjustable weight y1 mm (i) Angles of list for adjustable weight lateral displacement from sail center line x1 mm (ii) -75 -60 -45 -30 -15 0 15 30 45 60 75
103 -8 -6.3 -5 -3.8 -1.8 0.1 1.9 3 4.9 6.7 8
162 -7 -5.1 -3.8 -1.5
Introduction
It is important to know if a body is stable like a ship floating on the surface of a liquid and the stability depends on the height of the center of gravity. In this experiment, the stability of a pontoon will be found by changing its center of gravity at different heights which we can then use to compare to the theoretical stability that was calculated.
Theory
To find out if the floating body is stable, this experiment is to find out the metacentric height, height of buoyancy, and the gradient of stability. The center of buoyancy must be found by shifting weight on the plastic sail. Using the recorded data to find the center of buoyancy must be lower than the center of gravity for it to be stable.
Description of Apparatus
A pontoon that has a rectangular form and a plastic sail to be put a container of water where it will float. The plastic sail has five rows with “V” slows to put the weight to shift its center of gravity. A plumb bob is hanged from the top center of the plastic sail to align with the scale at the bottom of the plastic sail to measure the angle.
Experimental Procedure
First measure the length, breadth of pontoon, and the thickness of sheet metal bottom. Apply the weight on the plastic sail and measure the angle of list for each position on each row.
Results and Calculations
Total weight of floating assembly (W) = 2.42 kg
Adjustable weight (w) = 0.525 kg
Breadth of pontoon (D) = 204 mm
Length of pontoon (L) = 360 mm
Second moment of area I = 2.55* 10^-16 m^4
Volume of water displaced. V = 0.00242 m^3
Height of metacenter above center of buoyancy BM = 1.054 *10^-13 m
Depth of immersion of pontoon = 0.033 m
Depth of center of buoyancy CB = 0.0165m
Height of adjustable weight y1 mm (i) Angles of list for adjustable weight lateral displacement from sail center line x1 mm (ii) -75 -60 -45 -30 -15 0 15 30 45 60 75
103 -8 -6.3 -5 -3.8 -1.8 0.1 1.9 3 4.9 6.7 8
162 -7 -5.1 -3.8 -1.5