Geologists place tilt meters on the sides of volcanoes to measure the displaceme

Question

Geologists place tilt meters on the sides of volcanoes to measure the displacement of the surface as magma moves inside the volcano. Although most tilt meters today are electronic, the traditional tilt meter, used for decades, consisted of two or more water-filled metal cans placed some distance apart and connected by a hose. The figure (Intro1 figure) shows two such cans, each having a window to measure the water height. Suppose the cans are placed so that the water level in both is initially at the 4.6 cm mark. A week later, the water level in can 2 is at the 6.1 cm mark. Did can 2 move up or down relative to can1? By what distance? Where is the water level now in can 1?

Explanation / Answer

can 2 moved down relative to can 1

let the distance be d

we know that

m1 x h = m2 x (h - d)

or m1/m2 = 1 - d/h

or d/h = 1 - m1/m2

or d = h x (1 - m1/m2)

where h is height,m1 and m2 are masses of can 1 and 2

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