Archimedes Definition and 211 Threads

I have found a question that has got to my nerves : A block of wood of length 40 cm and area of cross-section 15 cm2 floats in water with 3/8 of it's length above water. What is the density of wood ? (Density of water - 1g/cm3). My attempt to get the solution : Length of wood above...

We are now in the middle of an information-technology upgrade. This is rare in human history. The one we're currently experiencing, the change from analog books to digitally encoded text is the first such upgrade since Gutenberg. There was another major upgrade 1600 years before Gutenberg...

Homework Statement The problem is I have about 13 questions to do, but I don't understand Archimedes principle when my teacher was supposed to teach it at school, all he did was send notes... I do extra classes for Physics, the teacher there taught it, I understand a little better...

Homework Statement A piece of sealing-wax weighs 0.27 N in air and 0.12 N when immersed in water. Calculate : a) It's relative density b) It's apparent weight in a liquid of density 800 kg/m^3 The attempt at a solution I did part a) I got 1.8 I have no idea how to attempt part...

1-A hollow ball is suspended in water,has a larger density than the density of the water..how? Fb=Fg (okay) ρ(of water)* (Vol of ball substance+Vol.of the cavity)=ρ(of the ball) * vol of the ball substance) (not okay) I don't understand how we calculate the buoyant force The buoyant...

A cylindrical fishing float is 15cm long, with an average cross section of 3cm^2. It is made of polystyrene and has negligible mass. A lead weight of 30g is attached to the bottom of the float using a thin nylon monofilament line. Question: Calculate how far the float will sink into the...

In a few weeks in Baltimore if you are in the area. Should be a very interesting exhibit. Some of the pages are the only known evidence of some of his work. The project took 10 years to complete. Can't wait. http://thewalters.org/exhibitions/archimedes/

A rectangular block of solid carbon (graphite) floats at the interface of two immiscible liquids. The bottom liquid is a relatively heavy lubricating oil, and the top liquid is water. Of the total block volume, 54.2% is immersed in the oil and the balance in the water. In a separate experiment...

Homework Statement A polar bear of mass 520 kg is floating on an iceberg in the ocean. As the ice melts, how small can the iceberg get before the bear gets wet feet? (The answer should be the volume of the iceberg). Homework Equations Buoyant Force, Fb = p(fluid)V g From a table in...

Hey all, I have seen that these two forces combined together have the potential energy of a spring with a constant 'K' as a combination of some sort of the two forces. I have no idea how am I to find this K. All I know Mgh + ρVgh gives the potential energy of a given system let's say. help?

Hello, I am wondering whether an Archimedes screw generator would work in a pulsating environment. What I mean by this is does the screw require constant flow in order to generate electrcity? Or could I put such a screw in a pressure driven yet zero-head environment(similar to blood flow)...

I'm taking an introductory geology class and am having big trouble with the math questions, as it's been many many years since I last took math classes. I am to use Archimedes Principle to calculate the thickness of continental crust beneath a certain coastal geographical point (at sea level...

Homework Statement trying to make sense of this derivation... Homework Equations Buoyant force is not an independent force but is derived from difference in pressure from the bottom of an object to its top. Lets say an object of density "ρ'" is located "d" meters down the surface of a...

Hi, I am a high school student interested in physics/math. I decided I wanted to read the Works of Archimedes (or at least start) before graduating. For some reason, it seemed that Euclid was prerequisite to Archimedes, and I wanted to read Euclid anyway, so I started Euclid and am about a third...

i have the following problem: -an iron (7800kg/m3) body is submerged into in water (density = 1000kg/m3) his weight in the air is 0,13N. what i did is: E=dVg (Push force, density of the liquid, volume of the body sumerged and gravity, respectively) then: the volume of the iron body is...

I am going to be doing a demonstration of Archimedes' wheel for some 6-9 year-old students and would like to try to figure out the work done by the wheel to lift 10 liters of water 1m vs the lifting of a 10 liter pale the same height. Anyone know of a way to easily figure the work done in...

Homework Statement Your local king has asked you to determine the density of a crown. If you suspend it from a spring scale, the scale reads 8.33 N. If you then lower the statue into a tub of water, so that it is completely submerged, the scale reads 7.81 N. What is the density of the...

http://www.lolblog.co.uk/wp-content/uploads/2010/11/1290616506315.jpg Just thought I'd share this. Don't know if anyone has seen it, but I found it rather amusing. Disclaimer: I know why it doesn't work and am not trying to push this as some "new" maths.

Homework Statement note: It may make things easier to assume that g=10 m/s^2 Suppose that I have a 100 gram chunk of metal with a density of 4 grams per cubic centimeter. 1)What is the mass of water displaced by this chunk of metal?(give your answer in kg) 2)what is the buoyant force on the...

Homework Statement Serway book 14.26 The weight of a rectangular block is 15N. With a thin string, the center of the horizontal bottom face of the block is tied to the bottom of a beaker partly filled with water. 25% of the block is submerged when the tension is 10N Oil of density 800...

Homework Statement A rectangular waterproof air mattress is 2.0m long, 0.50mwide and 0.08m thick. It has a mass of 2.0kg and is supporting an additional mass of m, while floating in the water, calculate the mass, m, assuming the density of water is 1000kg/m^3 and density of air is...

How much of an iceberg is beneath the surface...Archimedes principle Homework Statement Calculate how much of an iceberg is beneath the surface of the ocean, given that the density of ice is 917kg/m^3 and salt water has density 1025kg/m^3. Homework Equations archimedes principle...

Homework Statement Once upon a time the famous archimedes was given a problem to determine if a crown supposedly made of pure gold actually contained some silver. If Archimedes was your lab partner, explain how the two of you could quickly determine if the crown were gold or not without...

Homework Statement How much helium (density 0.18) is requires to lift a 340kg balloon. density of air is 1.28 Homework Equations The Attempt at a Solution\ i don't know why i keep getting the wrong answer buoyant force required is 340g which = rho g V and i keep getting...

Homework Statement a 6500kg iceberg is afloat in the sea. the icebergs density is 930kg/m^3 and the sea water has density of 1030kg/m^3 a) find the buoyant force on the iceberg the volume of water displaced and the fraction of the icebergs volume that is below the waterline. Homework...

Homework Statement 9. Block A hangs by a cord from spring balance D and is submerged in a liquid C contained in beaker B. The mass of the beaker is 1.00 kg; the mass of the liquid is 1.80 kg. Balance D reads 3.50 kg, and balance E reads 7.50 kg. The volume of block A is 3.80  10-3 m3. (a)...

You're floating in a boat in a pool with a 100 pound rock in the boat. You carefully measure the water level of the pool. Then you toss the rock out of the boat into the water. It sinks to the bottom. Does the water level of the pool go up, down or stay the same? Quantitative...

A number of questions have come up on canoe forums relating to the “buoyancy” of different woods out of which paddles can be made. The general issue has been to make the most “buoyant” paddle. Generally, here’s the goal. In certain canoe strokes called in-water slice returns, you don’t lift...

Homework Statement In air, Bob's weight is 687 N. In water, it is 34.7 N. Determine Bob's average density. Homework Equations The Attempt at a Solution Is it correct to say that (buoyancy force) + 34.7 N = 687 N? If so then buoyancy force = (density of water)(volume)*9.81...

Homework Statement Vessel contains water.It is placed on the pan of a physical balance.A solid(specific gravity=1) is suspended from an thread(from an independent support),such that it is immersed completely in the water. What the weight it reads? If the thread was tied to the arm of...

Homework Statement Let ABC be a piece of a parabola. The point B is chosen such that the tangent to the parabola at B is parallel to the line AC. Archimedes proved the Area of parabola inside ABC is 4/3 times the triangle ABC. Prove this using calculus Homework Equations The integral...

1. When a heaveir body having density more than water, is submerged in water, as per Newton's third law of motion, it experiences an equal & opposite thrust i.e. an upward thrust equal to its weight. Then, the body should have remained afloat, but, we find it sinks. Is it not violative of...

I have to calculate the density of these 3 objects and these are the values i obtained but now i am confused how i can calculate the density of them. I know that in chemistry density is mass / volume but in this case i am not sure, can anyone tell me the formula? thanks in advance

Hello all! Inside the water, body weights two times less than in air. Density of water is 1000kg/m^3. Find the density of body. 1. Well I tried this solution and I'm not sure if it's correct. I started from this principle Fa=W/2 (inside water force equals weight of the body divided by...

An object weighs 30kg in air it is lowered into a square tank (1m x 1m) the weight of the object in the water is 16kg. how much does the water level in the tank raise? Heres my attempt. 30-16 = 14kg 14kg = 14 m^3 1 x 1 x h = 14 h = 14 metres. Is this correct it doesn't seem...

i have a brick at home i want to know what its weight if i will put it in a bucket of water the level of water will raise i know that 1 litter of water is 1kg the raised level is the volume of the brick how to know it weight i don't know its density?

Homework Statement A rectangular barge, 5 meters long and 2 meters wide, floats in fresh water. How much deeper will the barge sink when a 800 kg load is added to the barge? Use a density of water of 1000 kg per cubic meter. Homework Equations not sure The Attempt at a...

Homework Statement a crown that is supposed to be pure gold has a mass of 850g. Its apparent mass when immersed in water is 798g. (a) what is the volume of the crown? (b)is it pure gold?If not, what is the percentage by volume of gold in the crown assuming that the crown is an alloy of lead and...

Homework Statement My question is on the last bit of Apostol's proof, in his book Calculus Vol I 2nd ed, where he shows that the area under the parabola = b^{3}/3 where b is the base of the rectangle enclosing the parabola. The bit I am confused about is where his contradiction...

Homework Statement Because gasoline is less dense than water, drums containing gasoline will float in water. Suppose a 260 L steel drum is completely full of gasoline. What total volume of steel can be used in making the drum if the gasoline-filled drum is to float in fresh water...

Homework Statement A flotation device is in the shape of a right cylinder, with a height of 0.500 m and a face area of 4.00 m2 on top and bottom, and its density is 0.400 times that of fresh water. It is initially held fully submerged in fresh water, with its top face at the water surface...

Homework Statement Calculate the Archimedes' force due to air on your body. Homework Equations F = pVg The Attempt at a Solution This problem is more so conceptual, I believe, than calculation-based. My first thought was that the buoyant force equals to the weight of the air...

Homework Statement " A spherical balloon has a radius of 7.35 m and is filled with helium. How large a cargo can it lift, assuming that the skin and structure of the balloon have a mass of 930 kg? Neglect the buoyant force on the cargo volume itself." Homework Equations So F(b) = (mass...

Homework Statement A body of uniform cross-sectional area A and mass density ρ floats in a liquid of density ρ0 (where ρ < ρ0), and at equilibrium displaces a volume V. Making use of Archimedes principle (that the buoyancy force acting on a partially submerged body is equal to the mass of the...

I don't want to hijack another thread, so I'm moving the discussion here... A point about Archimedes Death Ray came up. The question is whether it failed for practical or theoretical reasons. I am of the opinion that it failed for practical reasons due to the inability of a bunch of...

why do they form the shape they do? that is after a nuclear explosion i'm familiar with thermodynamics and fluids ect..., does it have something to do with archimedes principal?

Hi guys, I am a 1st year Engineering/Maths student. I have recently started reading "journey through genius"; which so far is great! After reading chapter 3 on Archimedes i was very curious about how he approximated a lower and upper bound for sqrt(3). I looked at the translated proof in my...

I'm looking for a book containing both his ideas explained at a pre-calc level as well as some biographical information. What I have been able to dig up on amazon looks unappealing. Any suggestions? k

Homework Statement A 62.0-kg survivor of a cruise line disaster rests atop a block of Styrofoam insulation, using it as a raft. The Styrofoam has dimensions 2.00 m X 2.00 m X 0.0900 m. The bottom 0.024 m of the raft is submerged. a) Draw a free-body diagram of the system consisting of the...

Good afternoon, I am having some trouble solving this basic fluids problem, and I am hoping you can look over my work, and offer some assistance. Homework Statement A submarine has a total mass of 2.1 multiplied by 10^6 kg, including crew and equipment. The vessel consists of two parts...