In 1690, Sir Edmund Halley (of comet fame) invented the diving bell. A drawing i

Question

In 1690, Sir Edmund Halley (of comet fame) invented the diving bell. A
drawing is shown at the right. Halleys bell was approximately a wooden
cylinder about 3 m high and 1 m in diameter. (For this problem, treat the
bell as if it were a cylinder of the indicated dimensions.)

a. If the bottom of the bell is held by a rope so that it is completely
submerged, hovering just above the mud at the bottom of a lake
20 m below the surface, what is the force the water is exerting on
the top and the bottom of the bell ?

Explanation / Answer

The force exerted by water is the buoyant force.
Buoyant force =Vg

= Density of Liquid=1000kg/(m^3)

V = volume of body submerged

g= 9.8m/s

V=(r^2)h(since the body is fully submerged)

=(0.5*0.5)*3 (m^3)

so V =2.356(m^3)

SO buoyant force=1000*2.356*9.8 N

=23090.706 N

This is the force exerted by water.

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