A pneumatic cylinder is kept vertically straight on a weighing scale, which is s

Question

A pneumatic cylinder is kept vertically straight on a weighing scale, which is set at 0 for the setup.

now a force of 1000 N is applied on the cylinder.

what is the reading of scale.

assume the outlet/ inlet to be blocked hence the mass of air inside the cylinder shall remain constant all the times and cylinder can move in y(vertical) direction by compressing the air inside it on application of external force.

let diameter of bore of cylinder be 60 mm and stroke be 50 mm.

will the reading be less than 1000N or less or more??

more info can be supplied if required.

Explanation / Answer

The reading will depend on how long you wait. If you wait until the gas is compressed and the system reaches steady-state, the scale will reflect the 1000 N force.

The reading on the scale from the moment the force is applied until steady-state is reached will depend on the density, compressibility, pressure and other characteristics of the gas as well as the friction inherent in the system. The accuracy of your model will improve the more of these considerations you take into account.

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