5. The buoyant force is a consequence of the fact
that pressure varies with depth. To understand this, do the
following, for a vertical cylindrical object that is submerged in a
liquid:
a. If the liquid pressure at the top of the cylindrical
object is P, write an expression for the liquid pressure at the
bottom of the cylinder of length L.
b. Write expressions for the magnitude of the force
that the liquid exerts at the top of the cylinder and at the bottom
of the cylinder.
c. Write an expression for the net force exerted by the
liquid on the cylinder.
d. Compare the expression in part (c) with the
expression for the buoyant force given by Archimedes’
principle.
e. What can you conclude from the results from the
previous parts of this question?
you must explain why
5. The buoyant force is a consequence of the fact that pressure varies with depth. To...
3. Archimedes' Principle states that the buoyant force on an object partially or fully submerged in a fluid is equal to the weight of the fluid that the object displaces. For an object of density po floating partly submerged in a fluid of density pf, the buoyant force is given by F P19 SA(y)dy, where g is the acceleration due to gravity and A(y) is the area of a typical cross-section of the object. The weight of the object is...
For the following questions, use the equation below for the water pressure as a function of depth: P = (9800 Pa/m)*d + 101,300 Pa PART A: A cube of plastic that has dimensions of 1.8 m x 1.8 m x 1.8 m, is submerged in a tank of water such that the top surface of the cube is 1.8 m below the surface of the water. First, let's determine the water pressure acting on the top and bottom of the...
Spreading forces over surfaces I. Block that floats when released A cubical block is observed to float in a beaker of water. The block is then held near the center of the beaker as shown and released. A. Describe the motion of the block after it is released. Lab section B. Draw a free-body diagram for the block at the instant that it is Free-body diagram for block at instant it is released released. Rather than drawing a single force...
Problems in Fluid Pressure and Pressure Force 1. AU-tube manometer with mercury is connected to two points on an inclined pipe carrying water. There is an elevation difference of 4ft between the lower and upper points. If the mercury level difference between the two sides of the manometer is 20.3 inches, what is the pressure at the lower point in the pipe, if the pressure at the upper point is 17.5 psi? 2. A vertical semicircular disc of 2 m...
Question 8 solution avers of gasoline are mixed with 50 cm3 a. How much force do on the flat end of ea b. Suppose the upper sturdy ceiling. Ho players would nee cylinder to pull th wat is the average density of the mixture?or water. What lhas been added to 400 mL of water in a con- a mass of 350 g when empty. The resulting con- id mixture has a mass of 733 g. What volume of 6 Ethyl...
Activity 2 You have made some conclusions about the water pressure at various points int water. Do the following to test these conclusions: he beaker of a. Consider a container of water at rest. b. Imagine a cylindrical column of the water from the top of the water to a depth h below the top of the water; assume that the cross-sectional area is A. Draw all forces acting c the column of water. You may assume that the forces...
You have made some conclusions abou the water pressure at various points in th water. Do the following to test these conclusions: a. Consider a container of water at rest. b. Imagine a cylindrical column of the water from the top of the water to a depth h below c. d. e. f. g. the top of the water assume that the cross-sectional area is A. Draw all forces acting on the column of water. You may assume that the...
Air contained within a vertical piston-cylinder assembly is shown in Figure 1. On its top, the 10-kg piston is attached to a spring and exposed to an atmospheric pressure of 1 bar. Initially, the bottom of the piston is at x = 0, and the spring exerts a negligible force on the piston. The valve is opened and air enters the cylinder from the supply line, causing the volume of the air within the cylinder...
I’ve been racking my brain this one. My book showed the answer on how the total force was derived. But I don’t get how it got to that answer. Can someone help me please? ethe ratio of the input work to the output work wi-F:aa-EN )-(20 )-1 t verifies that the work input and output are the same, as they must be to conserve energy. This result ,Example 15.2 The Force on a Dam lled to a height H behind...