A solid metal sphere of volume 0.722 m³ is lowered to a depth in the ocean where the water pressure is equal to 4.02 × 107 N/m². What is the change in the volume of the sphere? The atmospheric pressure is 1.013 × 105 Pa and the bulk modulus of the metal from which the sphere is made is 1.27 x 10¹0 N/m². Answer in units of m³.
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
 alt="A solid metal sphere of volume 0.722 m³
is lowered to a depth in the ocean where the
water pressure is equal to 4.02 x 107 N/m².
What is the change in the volume of
the sphere? The atmospheric pressure is
1.013 × 105 Pa and the bulk modulus of
the metal from which the sphere is made is
1.27 x 10¹⁰ N/m².
Answer in units of m³.
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