what is the buoyant force when a vessel is moving up with acceleration a?
Answers
Answer:
According to Archimedes' principle, “When a body is wholly or partially immersed in a fluid, the buoyant force acting on the body is equal in magnitude to the weight of the fluid displaced by the body”. Consider an object floats in a fluid in a vessel.
Answer: HERE IT IS
Explanation:
Archimedes' principle tells us that the upthrust on a body immersed in a fluid is equal to the weight of the fluid displaced, where the weight is the force given by F=ma i.e. the mass of fluid displaced, m, multiplied by the acceleration, a, experienced by the fluid.
In this context there is no difference between gravitational acceleration and inertial acceleration - this is one example of Einstein's equivalence principle - so:
a=agravity+ainertia
And the upthrust is therefore:
F=m(agravity+ainertia)=Vρ(agravity+ainertia)
as you said in your question.