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Question

The pressure gauge shown in figure has a spring for which k=60N/m and the area of the piston is 0.50cm2 . Its right end is connected to a closed container of gas at a gauge pressure of 30kPa. How far will the spring be compressed in the region containing the spring is (a) in vacuum and (b) open to the atmosphere? Atmospheric pressure is 1001kPa,
219804_f784c03ff565458ab97ad4ea4aae8191.png

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Solution

(a) Force from left hand side=force from right hand side
kx=ΔpA
or x=(Δp)Ak
=(30+101)×103×0.5×10460
=0.109 m or 10.9 cm
(b) x=(Δp)Ak=30×103×0.5×10460
=0.025 m=2.5 cm

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