A laboratory apparatus used for the demonstration of hydrostatics is shown in the figure below. The...
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A laboratory apparatus used for the demonstration of hydrostatics is shown in the figure below. The hydrostatic force is measured on the flat face of the circular-arc black and compared with the theoretical value for a given depth h. The counterweight is arranged so that the pivot arm is horizontal when the block is not submerged, hence the weight W can be correlated with the hydrostatic force when the submerged arm is again brought to horizontal. Frist show that the apparatus concept is valid in principle; then derive a formula for W as a function of h in terms of the system parameters. Hint: the quadrant block can be fully submerged or partially submerged. W Fluid: p L Pivot arm Circular arc block R Pivot Counterweight Side view of block face b A laboratory apparatus used for the demonstration of hydrostatics is shown in the figure below. The hydrostatic force is measured on the flat face of the circular-arc black and compared with the theoretical value for a given depth h. The counterweight is arranged so that the pivot arm is horizontal when the block is not submerged, hence the weight W can be correlated with the hydrostatic force when the submerged arm is again brought to horizontal. Frist show that the apparatus concept is valid in principle; then derive a formula for W as a function of h in terms of the system parameters. Hint: the quadrant block can be fully submerged or partially submerged. W Fluid: p L Pivot arm Circular arc block R Pivot Counterweight Side view of block face b
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The apparatus concept is valid in principle because it uses Archimedes principle to measure the hydrostatic force on a submerged object Archimedes pri... View the full answer
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