Integration Application: Find the force on each end of the cylinder

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SUMMARY

The discussion focuses on calculating the force exerted on each end of a horizontally positioned cylinder filled with tar. The cylinder has a diameter of 2 meters and is half full of tar with a density of 920 kg/m³. Using the gravitational acceleration of 9.8 m/s², participants are guided to apply principles of fluid mechanics to determine the forces acting on the cylinder's ends. The problem emphasizes the importance of understanding mass density versus weight density in such calculations.

PREREQUISITES
  • Understanding of fluid mechanics principles
  • Knowledge of density calculations and conversions
  • Familiarity with gravitational force equations
  • Basic skills in geometry related to cylinders
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  • Learn about the relationship between density and buoyancy
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This discussion is beneficial for engineering students, physics enthusiasts, and professionals involved in fluid dynamics or related fields who seek to deepen their understanding of forces in cylindrical containers.

andvaka
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A cylinder shaped container of tar has a diameter of 2m. If it is half full of tar with a density of 920 kg/(m^3) and is on it's side, find the force on each end.

Helpful hints:
920 kg per m^3 is the mass density not the weight density. Take g= 9.8 m/ sec^2Please assist. I'm not sure at all how to approach this or what relationships to use.​
 
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I would be interested in seeing your solution. Normally the problems involving cylinders and the density of a material within that cylinder involve calculating the work done by pumping out a certain amount.
 

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