A toy duck is floating on the water. The average density of the duck is ρd = 720 kg/m3, while the density of water is ρ = 1.0 × 103 kg/m3. The volume of the duck is Vd = 0.00012 m3. a. Express the weight of the duck, W, in terms of ρd and Vd. b. Calculate the numerical value of W in newtons. c. Express the magnitude of the buoyant force, F, in terms of ρ and the volume of water that the duck displaces, Vw. d. Express the volume of the duck in water, Vw, in terms of ρ, ρd and Vd. e. Calculate the numerical value of the volume of the duck in water, Vw in cubic meters.
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.
A toy duck is floating on the water. The average density of the duck is ρd = 720 kg/m3, while the density of water is ρ = 1.0 × 103 kg/m3. The volume of the duck is Vd = 0.00012 m3.
a. Express the weight of the duck, W, in terms of ρd and Vd.
b. Calculate the numerical value of W in newtons.
c. Express the magnitude of the buoyant force, F, in terms of ρ and the volume of water that the duck displaces, Vw.
d. Express the volume of the duck in water, Vw, in terms of ρ, ρd and Vd.
e. Calculate the numerical value of the volume of the duck in water, Vw in cubic meters.
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