In the famous story, Archimedes proposed to weigh the king's crown under water to determine if it was pure gold. Suppose the weight of the crown was W₁ in air, and W₂ under water. Calculate (A) W₂ for a gold crown; and (B) W₂ for an alloy of 75% gold and 25% silver. {Historical correction: Archimedes actually used a different method, but he could have used the buoyancy method! } [Data for W₁ = 31.6 N ]
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.
![In the famous story, Archimedes proposed to weigh the king’s crown under water to determine if it was pure gold. Suppose the weight of the crown was \(W_1\) in air, and \(W_2\) under water. Calculate (A) \(W_2\) for a gold crown; and (B) \(W_2\) for an alloy of 75% gold and 25% silver.
{Historical correction: Archimedes actually used a different method, but *he could have used the buoyancy method!*}
[Data for \(\text{redacted}\): \(W_1 = 31.6 \, \text{N}\)]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29d54699-8096-4754-af5c-5369115407dd%2F6cf22355-9908-4039-83e5-92b1427cb15b%2Fbsf0m4m_processed.jpeg&w=3840&q=75)
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