Problem 6: A cube with edges of length L = 0.23 m and density g. = 3.2x103 kg/m³ is totally submerged in water, with a density of gw = 1.00x10, kg/m³, and oil, with a density of g, = 0.81x10 kg/m³, as shown in the figure. The cube is submerged in the Po water to a depth of d = 0.085 m, while the rest of the cube is in oil. The cube is suspended by a taut string and is in static equilibrium. d -L- Pw Part (a) Which of the following figures shows the correct free-body diagram for the cube for the vertical forces acting on it? SchematicChoice: +T F. T В B *W F. T B Part (b) Enter an expression for the magnitude of the weight of the cube, in terms of o., L, and the acceleration due to gravity, g. Expression : W = Select from the variables below to write your expression. Note that all variables may not be required. B. y. Q. Qe. 0.. Pw. 0, d, g, h, j. L, m, n. P Part (c) Calculate the magnitude of the weight of the cube, in newtons Numeric : A numeric value is expected and not an expression. W =381,9 Part (d) Enter an expression for the magnitude of the buoyant force acting on the cube, in terms of gw. go. L, d, and g. Expression : FB= Select from the variables below to write your expression. Note that all variables may not be required. B. Y. Q. Qe. Po. Qw. 0, d, g. h, j. L, m, n, P Part (e) Calculate the magnitude of the buoyant force, in newtons. Numeric : A numeric value is expected and not an expression. FB =- 105.) Part (f) Enter an expression for the tension in the string, in terms of the defined quantities and g. Expression : T = Select from the variables below to write your expression. Note that all variables may not be required. B. y. Q. ge. Qo: Qw. 0, d. g. h, j. L, m, n, P Part (g) Calculate the tension in the string, in newtons. Numeric : A numeric value is expected and not an expression. T =
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.
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