Archimedes Definition and 211 Threads

Homework Statement A solid aluminum sphere has a radius of 1.84 m and a temperature of 77.5 °C. The sphere is then completely immersed in a pool of water whose temperature is 26.7 °C. The sphere cools, while the water temperature remains nearly at 26.7 °C, because the pool is very large. The...

the question is: consider that a balloon filled with 1 liter of water (1000 cm^3) in equilibrium in a container of water, what is the mass of the liter of water? what is the weight of the 1 liter of water? what is the weight of water displaced by the balloon ? what is the bouyant force on...

This (textbook) question seems so simple yet I have been having the hardest time solving it :S I know there's something completely obvious I'm missing. Homework Statement A styrofoam slab has a thickness h and density \rho_{s}. When a swimmer of mass m is resting on it, the slab floats in...

Homework Statement In the future, astronauts living on the moon will have baths in their accommodation. When using them, will they float higher in the water than on earth? Explain fully the reasoning behind your answer. Homework Equations Achimedes Buoyancy The Attempt at a...

Homework Statement Find: (a) volume of plank (b) bouyant force (c) density of plank mass plank = 877kg mass bricks loaded on plank = 2.3 * 74 = 170.2 plank if floating level with surface of lake Homework Equations p = m/vol v = l w h Fb = pfluid x g x volume The Attempt at a...

Homework Statement A paperweight, when weighed in air, has a weight of W = 6.6 N. When completely immersed in water, however, it has a weight of Win water = 4.0 N. Find the volume of the paperweight. Homework Equations Fb = Wfluid The Attempt at a Solution I can find density...

Homework Statement You, Archimedes, suspect that the king’s crown is not solid gold but is instead gold-plated lead. To test your theory, you weigh the crown, and find it to weigh 60.0 N, and to have an apparent weight of 55.3 N when it is completely submerged in water. Take the density of...

Homework Statement A barrel with diameter 80cm is completely full of water and sealed except for a piece of tube extending vertically through the lid with a diameter of 0.8cm. It's asking what height would you have to fill the small tube with in order to make the lid of the barrel pop off. The...

A lighter-than-air spherical balloon and its load of passengers and ballast are floating stationary above the earth. Ballast is weight (of negligible volume) that can be dropped overboard to make the balloon rise. The radius of this balloon is 6.59 m. Assuming a constant value of 1.29 kg/m3 for...

I was reading a lab online and I came across one that dealt with Specific Gravity and Buoyany and stuff.. and then they had these equations: *Note: p = density, M = mass, V = Volume, g = gravitational acceleration, W = Weight Subscripts: S = substance, W = water SG = pS / sW = (MS / VS)...

Homework Statement A 60kg person floats vertically in a water pool with just her head, of volume 2.5L, exposed. What is the average density of her body?Homework Equations Archimedes: F = rho*V*g mass = rho*V The Attempt at a Solution I got this problem on my midterm and I'm pissed off that I...

Homework Statement A lead weight with a volume of 0.69x10^-5 m^3 is lowered on a fishing line into a lake to a depth of 1.0m. What tension is required in the fishing line to give the weight an upward acceleration of 1.8m/s^2? Homework Equations T=F-mg F=ma D=mv D of lead= 11.34gcm^3...

Hello: Can someone help with the following 2 questions? 1. An iron casting containing a number of cavities weighs 6000 N in air and 4000 N in water. What's the total volume of all cavities in casting? The density of iron without cavities is 7.87 g/cm^3. The density of water is 988...

Is there any relativistic version for Archimedes principle?

Homework Statement In the figure below, a cube of edge length L = 0.500 m and mass 480 kg is suspended by a rope in an open tank of liquid of density 1030 kg/m3. (a) Find Ftop, the magnitude of the total downward force on the top of the cube from the liquid and the atmosphere, assuming...

I'm having trouble arriving at a finalized answer dealing with the sum of the forces with this problem dealing with Archimedes principle (buoyancy is weight of the displacement). Here's the question: A cube of wood whose edge is 12 mm is floating in a liquid in a glass with one of its...

There is a claim that Archimedes recommended the use of well-polished shields to concentrate light from the sun and onto enemy ships, in order to set them alight from afar. But Andy Resnick here says this is a misconception. It may well be a misconception for some of us. But does it work...

1.a piece of metal of weight 20gms has equal apparent weight with a piece of glass when both are suspended from the arms of a balance and immersed in water(density 1).if water is replaced by alcohol(density 0.96), 0.84gms must be added to the pan from which the metal is suspended to restore...

Homework Statement A 1.25kg wooden block has an iron ball glued to one side. (a) if the blocks floats in water with the iron ball "high and dry," what is the volume of wood that is submerged? (b) If the block is now inverted, so that the iron ball is completely immersed, does the volume of...

I'm buying Elements, Counterexamples in Analysis, and the Works of Archimedes off of amazon. I was just wondering about the difference in these two versions of the Works of Archimedes: https://www.amazon.com/dp/0486420841/?tag=pfamazon01-20...

Homework Statement The archimedean principle states that the bouyancy force equals the weight of the water displaced by the body (partly or totally submerged). So We have a buoy of diameter 60 cm which is floating in water with its axis vertical. When depressed downwards in the water and...

[SOLVED] Archimedes Crown Question Hi, This is the last question on a homework sheet, based on that interesting Archimedes story. "Archimedes put a golden coloured crown in some water an the level rose by 410cm^3. He then weighed it and found its mass to be 2.42kg. Was the crown made of...

Homework Statement A spherical aluminum ball of mass 1.48 kg contains an empty spherical cavity that is concentric with the ball. The ball just barely floats in water. A. Calculate the outer radius of the ball. B. Calculate the radius of the cavity Homework Equations Buoyant Force...

Homework Statement A fisherman and his young nephew are in a boat on a small pond. Both are wearing life jackets. The nephew is holding a large helium filled balloon by a string. Consider each action below independently and indicate whether the level of the water in the pond, Rises, Falls, is...

I heard that Archimedes proved geometrically that the area under the curve of x^2 is equal to x^3/3. I was just wondering if anyone could give me a link to the proof or try and explain it. Thanks^^

I've started with Apostol's first volume of calculus and I'm already having a problem with the first exercise in the book. Weak. It asks to use Archimedes' method to find the area under a parabola from 0<x<b for a parabola where y = a*b^2 + c. Using the summation of upper/lower rectangles of...

I tryied but failed miserabely, i need to prove this formula! Archimedes (Buoyant force) Lets say that a rock is attatched to a string, the string has a tention of 5.0N out of the water, and has a tention of 3.2N submerged in water. Now to find the density of the rock, the formula used...

Question About Archimedes ? HELP! How Did Archimedes Resolve the problem of the Crown ?

Question About Archimedes ? HELP! How Did Archimedes Resolve the problem of the Crown ?

Homework Statement It is found that a 3.70-kg aluminum ball has an apparent mass of 2.20 kg when submerged in a particular liquid. Calculate the density of this liquid in kg/m3. Homework Equations Bouyancy force=density*volume*gravity Volume=mass/density The Attempt at a Solution...

i just don't understand why an object will experience buoyant force equal to the weight displaced when it is partially or wholly immersed in a fluid.I don't want to memorize this,i want to understand and get the idea.But i just don't seem to understand.

I have 2 question about the Archimedes principle? 1. does it hold in a vessel in a free fall? why? 2. if we imppressed 2 same hollow bodies in water, and just one of them has a hole at the bottom. which one is more difficult and why? thank you!

Does anyone have any real scientific/experimental data to prove whether Archimedes' principle should be taken literally? Let me explain: As I remember, Archimedes' principle goes something like upthrust is equal to the weight of the displaced fluid. Archimedes was saying that the force down...

I need to write a program that calculates the value of pi to 10 decimal places by using 'Archimedes Method'. Archimedes concluded that: n*sin(theta/2) < pi < n*tan(theta/2) Basically, I need some help. Anyone got any ideas or any code just to get me started. I'm clueless at the moment...

"The pages of a medieval prayer text also contain words of ancient Greek engineer Archimedes. It takes high-tech imaging to read between the lines. The sheepskin parchment originally contained a 10th century Greek text, which was erased by a 13th century scribe who replaced it with prayers...

Can somebody explain Achimedes principle to me? Where he used it to determine the difference in density between silver and gold. Apparently he immersed a lump of gold and silver in water (I assume they were the same size/volume) and each lump displaced a different volume of water. Is that the...

How do you Determine whether it floats or not I know how to find the apparent force but how much force does it take to float above water and submergered but not sunken

Alright.. I have a problem. I have 2 liquids, mercury and water together in the beaker. Assuming both liquids are non mixable, the water, with a lower density, will be at the top while mercury will be at the bottom. Now, I push a block into the water and it floats at halfway between...

The Palimpsest The History of the Archimedes Manuscript. http://www.archimedespalimpsest.org/palimpsest_history1.html Imaging the Palimpsest http://www.archimedespalimpsest.org/imaging_initialtrials1.html

i got 2 qn , 1 on archimedes principle and the other on resonance 1)The Artic Ice cap is a floating ice mass. If the ice were to melt, how would the depth of the ocean change? my ans was that it will become deeper but the ans was it will remain the same...why? 2) my understanding is...

I was reading some of my physics chapter and cam across an interesting question, which I am sure someon here can answer. It just interested me, so here it is. A barge filled high with sand approaches a low bridge over the river and cannot quite pass under it. Should sand be added to, or...

I can not figure this out for the life of me! I know the answer is 920 kg, but I have to know how to get there so I can do my WebAssign problem! Here's the problem: " 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...

Legend has it that, many centuries ago, Archimedes jumped out of his bathtub and ran across town naked screaming "Eureka!" after he solved an especially difficult problem. Though you may not have thought of things this way before, when you drink a glass of water, the water that you are drinking...

The standard way to measure porosity of a rock is to get the pores completely saturated with water, then weigh the rock immersed in water and again in air (there are modified balances for this). Using Archimedes' principle, you then can determine the volume of the rock. Then you dry the rock...

A solid aluminium cylinder with density of 2700 has a measured mass of 67g in air and 45g when immersed in turpentine. Determine the density of turpentine. I do it in this way: W = ( 0.067 - 0.045 ) (9.8) = 0.2156 Volume of aluminium = 0.067 / 2700 = 2.48 x 10-5 0.2156 = (density...

hey can any1 help me with these 3 questions? 1. a piece of lead has a shape of a hockey puck with a diameter of 7.5cm and a height of 2.5cm. If the puck is placed in a mercury bath it floats. how deep below the surface of the mercury is the bottom of the lead puck? [2.1cm] (can anyone give...

Reference: http://www.thewalters.org/archimedes/frame.html http://archive.harktheherald.com/

A styrofoam slab has a thickness of 12.6 cm and a density of 470 kg/m 3 . What is the area of the slab if it floats just awash (top of slab is even with the water surface) in fresh water when a 65.7 kg swimmer is aboard? Answer in units of m 2 . im trying to use pressure=density of...

Probably an easy question, just can not figure it out. A duck is floating on a lake with 25% of its volume beneath the water. What is the average density of the duck? To me it seems like they do not provide enough information to figure the problem out, I am soo stuck.

I have run into a problem and am completely stumped after. Help me before i pull my hair out. What is the smallest number of whole logs (p (density) 725 kgm^-3) r= .0800m l=3.00m that can be used to build a raft that will carry four people each with a mass of 80.0 kg. so using (pi*r^2*l)*725...