Mechanical Engineering - Hydraulics and Fluid Mechanics - Discussion
Discussion Forum : Hydraulics and Fluid Mechanics - Section 4 (Q.No. 37)
                   
                                       
                                37.
A uniform body 3 m long, 2 m wide and 1 m deep floats in water. If the depth of immersion is 0.6 m, then the weight of the body is
 
                                    Discussion:
23 comments Page 2 of 3.
                
                        Gokulkumar said: 
                         
                        7 years ago
                
                Let's take the body as the submerged body then the formula is given by;
W*A*X.
9810*6*0.6.
35314N = 35.3 KN.
                W*A*X.
9810*6*0.6.
35314N = 35.3 KN.
                        Shubam said: 
                         
                        7 years ago
                
                Pressure = density * gravity * height. 
9.81*1000*0.6 =5886N/M2,
Then force =pressure *area,
5886 * 3 * 2 = 35.3 KN.
                9.81*1000*0.6 =5886N/M2,
Then force =pressure *area,
5886 * 3 * 2 = 35.3 KN.
                        Harish Thakur said: 
                         
                        8 years ago
                
                Thanks @Pradeep Gk.
                
                        Pradeep gk said: 
                         
                        8 years ago
                
                Presur (p)=density*gravity*height.
Force/area=1000*9.81*0.6,
Force=1000*9.81*0.6*6,
F=35.316 KN.
                Force/area=1000*9.81*0.6,
Force=1000*9.81*0.6*6,
F=35.316 KN.
                        Anand said: 
                         
                        8 years ago
                
                You are right @Vishwas.
                
                        Muhammad Waqas said: 
                         
                        9 years ago
                
                Buoyancy force = weight of the water displaced by the floating body as depth of immersion is 0.6. 
So,
volume of water displace by floating body is = 3*2*0.6 = 3.6 m^3.
Now,
As mass of water displaced = Density of water * Volume of water,
= 1000 kg/m^3 * 3.6 m^3,
= 3600 kg,
Weight of water displaced = Mass of water * gravitation force,
= 3600 kg * 9.81 m/s^2.
= 35316 N = 35.3 KN.
                So,
volume of water displace by floating body is = 3*2*0.6 = 3.6 m^3.
Now,
As mass of water displaced = Density of water * Volume of water,
= 1000 kg/m^3 * 3.6 m^3,
= 3600 kg,
Weight of water displaced = Mass of water * gravitation force,
= 3600 kg * 9.81 m/s^2.
= 35316 N = 35.3 KN.
                        Hindu raj said: 
                         
                        9 years ago
                
                You are correct and you explained with the simple concept. Thanks @Vishwas.
                
                        Jaysukh said: 
                         
                        9 years ago
                
                Your method is right @Rahul.
                
                        Vishwas Patel said: 
                         
                        10 years ago
                
                At equilibrium, weight of body (W) = Force of buoyancy (Fb).
Fb = Specific gravity * Volume of immersion.
Fb = 9.81*1000*0.6*2*3.
Fb = 35.3 KN.
Hence weight of body = 35.3 KN.
                Fb = Specific gravity * Volume of immersion.
Fb = 9.81*1000*0.6*2*3.
Fb = 35.3 KN.
Hence weight of body = 35.3 KN.
                        Rahul Saikia said: 
                         
                        10 years ago
                
                Volume = 3*2*1.
Volume of water displaced = Weight of body in kn/Specific weight of water in kn/m3.
V = w/9.81.
Depth of immersion = Volume/Cross-sectional area.
0.6 = v/3*2.
Hence from the two equations we have our term as W = 35.3 kn.
                Volume of water displaced = Weight of body in kn/Specific weight of water in kn/m3.
V = w/9.81.
Depth of immersion = Volume/Cross-sectional area.
0.6 = v/3*2.
Hence from the two equations we have our term as W = 35.3 kn.
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