So I have made force diagram
And I think that I should find the acceleration by using these equations:
##\sum Fx=w\sin(15)-f_k-T_{x-buoyancy} ##
##\sum F_y=N+T_{y-buouancy}-w ##
I know that the volume of water displaced must be ##V=\frac{1}{2400}m^3## and the mass of the water is then...
Hi all,
My teacher assigned us a problem to do a few days ago and have attempted it many times, often leaving and coming back to see if I could figure it out. I imagine that you would take the cross-sectional area and multiply it by how far under the surface of the water the rectangular object...
(The picture below is my drawing. I followed the instructions of the problems and drew for reasons of clarity.)
Let me start by writing down the given details : Volume of drum ##V_D = 0.05 m^3##, mass of drum ##m_D = 5 kg##, height of water column (initially) ##h_W = 1 m##, base area of water...
We understand that the crucial thing about the problem is that the volume of water present in the three containers are not the same. Also, we note that in each case the weight of the container is the total weight of its contents. (A student might be confused as to why should be so - after all...
Since they're all in the same liquid I'm assuming the buoyant forces would be the same on each block. But then I think about the volumes of the blocks, and them being different. I'm not sure if the block's volume would affect the buoyant force. Any help would be great, thanks!
This is a deep well & the dimensions of the bottom chamber is 5x1x5ft which holds 187 gallons. The pump is located in this chamber with a piston/plunger only going up to the top of this chamber at 5ft.
The pump pushes 187 gallons into a 6inch diameter pipe which is 1000ft long = 1,470 gallons...
Homework Statement
So given a ball, radius r, mass m ,an a known height y from the surface the ball is dropped from, how would you calculate the depth the ball goes to in water (including the water it displaces), with the density of the ball less than the density of water. Ignore surface...
Homework Statement
A layer of liquid with density ##800~kg/m^3## floats on top of a volume of water. A block floats at the oil-water interface with ##3/4## of it in water and the rest of it in the liquid. What is the density of the block?
Homework Equations
Buoyancy =##vρg## where ##v##=...
I'm a former physics student and I've been thinking about an interesting problem that eventually led me to the following thought experiment that I'm having trouble resolving.
Imagine a two-compartment system, where one compartment is filled with He gas, and the other is filled with standard...
Two pontoon boat design approach and how to find center of gravity, center of buoyancy, buoyancy, volume of displacement, meta center, meta centric height.
I need to know is there a different approach to designing dual hulled boat than a single hulled boat and all the formulas and examples I...
Video inspired by my wife ...ILY HADASA. When i asked her "Between a whole orange and a peeled orange which will sink ?" CORRECTIONS - None yet. Let me know ...
Imagine that there are two metal spheres both with the same volumes and I am trying to get them to float up into the air. I fill the first sphere with 5 ATM of helium and I fill the second sphere with 6 ATM of helium. Will either sphere have a higher buoyancy force acting on it than the other...
Hello,
Let us imagine a solid immersed in a liquid in a container such that the density of the liquid is less than the density of the solid. This means that the solid must sink. Let us study the solid when it reaches the bottom surface and is now at rest. The forces acting on the solid when it...
Homework Statement
A submarine of mass 80 000 kg is floating at rest (neutrally buoyant) at a depth of 200 m in sea water. It starts pumping out sea water from its ballast tanks at a rate of 600 litres per minute, thus affecting both its mass and the buoyancy force. Determine the vertical...
Homework Statement
A hemispherical portion of radius R is removed from the bottom of a cylinder of radius R. The volume of the remaining cylinder is V and its mass is M. It is suspended by a string in a liquid of density ρ where it stays vertical. The upper surface of the cylinder is at a depth...
Homework Statement
A steel pipeline carrying gas has an internal diameter of 120 cm and an external diameter of 125 cm. It is laid across the bed of a river, completely immersed in water and is anchored at intervals of 3 m along its length.
Calculate the buoyancy force per meter run.
Upward...
Homework Statement
If a beam with square cross-section and very low density is placed in water, it will turn one pair of its long opposite
faces horizontal. This orientation, however, becomes unstable
as we increase its density. Find the critical density when this
transition occurs. The density...
Hi all,
I understand where Archimedes' Principle comes from in liquids:
If we imagine a cylinder immersed in a liquid of density ρ whose cross-sectional area is A and whose top is at depth h1 and whose bottom is at depth h2:
Force(top of cylinder) FT = ρgh1A
Force(bottom of cylinder) FB =...
Imagine a container containing water up to 100cm of its height then I dip a cube of plastic in the water on depth of 75cm. We all know it will float because of its less density, but if we go with Pascal Law, The pressure/force applied by the water above the cube is more than than the buoyant...
I was recently tutoring a first year student, and a question of her assignment was as follows:
Suppose that that you have a bucket of water over a scale. If you then partially submerge an iron rod in the water, while holding the rod so that it does not touches the bucket, will the reading on...
Homework Statement
A cylindrical buoy floats in sea water with its axis vertical so that it's three-fourths submerged. The buoy is 0.8m in diameter and 2m in height. Its fabricated from iron plate 10mm thick. Calculate the mass of iron chain securing the buoy.
The relative density of iron is...
Hi,
Just wondering if I'm going about solving this problem correctly:
"A block of iron quickly sinks in water, but ships constructed of iron float. A solid cube of iron 1.6 m on each side is made into sheets. From these sheets, to make a hollow cube that will not sink, what should the minimum...
So I've noticed my little sister's helium balloons floating at the ceiling. Made me wonder if someone could create a device that could harvest energy from this buoyancy. What if I tied a very long rope to a huge balloon filled with helium, and rolled the other end of the rope to a gear attached...
Homework Statement
[/B]
A Raft with dimensions, 5m for length, 3m wide and 0.12m thick, is placed on water. The raft has a density of 320 kg/m^3.
a) What volume of the raft is submerged into water, if the density of water is 1150 kg/m^3?
b) A man and his elephant board the raft. How...
1) My teacher says that the apparant weight of an object in water (floating,sunken,submerged etc) is equal to it's actual weight-buoyant force acting on it.
That is, wt (ap)=wt (ac)- F(b)
Where wt (ap) = apparant weight,
weight (ac)= actual weight.
And f (b) = buoyant force
2) But..., if an...
Homework Statement
[/B]
A rectangular object has a width of 40 meters, height of 15 meters, and length of 2 meters. It floats consistently when 3 meters of its height is below the surface of the water.
1. Find the volume of the displaced water.
2. How much is the buoyant force on the object...
Hi All,
I have a problem (with 3 separate instances) to which I believe I have the answers, but would like check with those more knowledgeable than myself. They revolve around 3 blocks sinking through water and which falls quicker. I am ignoring friction.
Instance 1:
All blocks are exactly the...
if the person sitting in the boat throws a pebble to the swimming pool. Pebble was initially contained inside the boat and of course it has higher density than water.