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

In summary, a half-filled cylinder shaped container of tar with a diameter of 2m and a density of 920 kg/(m^3) will experience a force of 4,509.6 N on each end when placed on its side, assuming g=9.8 m/sec^2. This can be calculated using the formula F=mg, where m is the mass of the tar and g is the acceleration due to gravity.
  • #1
andvaka
1
0
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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  • #2
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.
 

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

What is the purpose of finding the force on each end of the cylinder in an integration application?

The purpose of finding the force on each end of the cylinder is to determine the total force being exerted on the cylinder, which can be useful in analyzing the stability and equilibrium of the system. It can also help in designing and optimizing structures or machines that involve cylinders.

How is the force on each end of the cylinder calculated in an integration application?

The force on each end of the cylinder is calculated by integrating the pressure distribution over the surface of the cylinder. This involves breaking down the surface into small elements and calculating the pressure acting on each element, then summing up all the forces to get the total force on each end.

What factors affect the force on each end of the cylinder?

The force on each end of the cylinder is affected by the pressure distribution over the surface of the cylinder, the size and shape of the cylinder, the material it is made of, and any external forces or loads acting on the cylinder.

Can the force on each end of the cylinder be negative?

Yes, the force on each end of the cylinder can be negative if the pressure distribution is non-uniform and results in a net force in the opposite direction of the applied load. This can happen, for example, if the pressure is higher on one end of the cylinder compared to the other.

How is the calculated force on each end of the cylinder validated in an integration application?

The calculated force on each end of the cylinder can be validated by comparing it to experimental data or using other analytical methods to confirm the results. It is also important to check for any errors in the calculations and ensure that all assumptions and simplifications made in the integration process are valid.

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