In: Physics
⦁ Use the equation of motion to show that once released from submersion the magnitude of the acceleration a, for the object that ascends (floating to the surface), in terms of the density of the fluid and object is:
a = (ρoil /ρo – 1)g
⦁ Use one of the previous equations to determine the density of the oil?
V = volume of the object = Volume of the fluid displaced
= density of the object
= density of the oil
Fb = force of buoyancy acting in upward direction
Force of buoyancy is given as
Fb = V g
Fg = force of gravity acting in down direction
Force of gravity is given as
Fg = V g
Force equation for the motion of the object is given as
Fb - Fg = = ma
V g - V g = V a
g - g = a
a = ( - ) g/
a = ( / - 1) g