A novelty scale for measuring a person's weight by having the person stand on a piston

Chapter 3, Problem 3.62

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A novelty scale for measuring a person's weight by having the person stand on a piston connected to a water reservoir and stand pipe is shown in the diagram. The level of the water in the stand pipe is to be calibrated to yield the person's weight in pounds force. When the person stands on lhe scale, the height of the water in the stand pipe should be near eye level so the person can read it. There is a seal around the piston that prevents leaks but docs not cause a significant frictional force. The scale should function for people who weigh between 60 and 250 lbf and arc between 4 and 6 feet tall. Choose the piston size and standpipe diameter. Clearly stale the design features you considered. Indicate how you would calibrate the scale on the standpipe. Would the scale be linear?

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