Ratio Definition and 1000 Threads

Homework Statement A boy of mass mboy stands at the edge of a merry-go-round of radius R = 3.4 m and mass mmgr, and both are initially at rest. The boy then walks along the edge of the merry-go-round. After walking a distance of 25 m relative to the merry-go-round, the boy finds that the...

Homework Statement Hi I want to see if you guys could check my work an tell me if i did it correct and also explain me how to cancel "look at the graph" Homework Equations The Attempt at a Solution

Homework Statement A CD (radius 6.0 cm) is spinning freely with an angular velocity of 420 rpm when a bug drops onto the CD a distance 4.4 cm from the center. If the CD slows to 280 rpm, what is the ratio of the bug's mass to the mass of the CD? (Ignore the effect of the hole in the center of...

Homework Statement An oxygen atom is four times as massive as a helium atom. In an experiment, a helium atom and an oxygen atom have the same kinetic energy. What is the ratio vHe /vO of their speeds? Homework Equations K=.5mv2 The Attempt at a Solution...

cal 2 ratio test "where is my mistake" Homework Statement I attached a pic I solved the problem but i get 4^1 and the book says 4^2 I don't know why? Homework Equations http://img690.imageshack.us/img690/1518/problem15.jpg The Attempt at a Solution

Homework Statement Component 1 and 2 form an ideal solution. The vapor pressure of pure component 1 is 13.3kPa at 298K, and the corresponding vapor pressure of component 2 is approximately zero. If the addition of 1.00 g of component 2 to 10.0g of component 1 reduces the total vapor pressure...

Homework Statement For u = (−1, 2, 1) and v = (3, 3, 6) find the ratio ||v|| / ||u|| Homework Equations || u || = (u^2 + u2^2 + ...un^2)^.5 The Attempt at a Solution I found the || u || to be 6^(1/2) and || v || to be 54^(1/2) Therefore the ratio should be 54^(1/2) divided by...

Homework Statement Consider a rectangular block of isotropic material of dimensions a, b and c, with c >> a or b. It is characterised by its elastic constants: Young's modulus E, shear modulus G and Poisson's ratio . The block of material is subjected to axial deformation along the c...

For collisions wouldn't the distance traveled during the collision be the same? The energy lost is from heat, sound, deformation, etc. but wouldn't the work done on each car be the same since during the duration of contact they have to move the same distance (as soon as they move different...

Homework Statement Two objects are moving along the x-axis with velocities of 37 m/s (object 1) and -19 m/s (object 2). (b) What is the ratio of their masses Homework Equations The Attempt at a SolutionNo idea

Homework Statement A 5 pound mixture of barley and oats is 4/5 oats by weight. How much barley in pounds must be added to the mixture to make it 3/5 oats by weight?Homework Equations - The Attempt at a Solution I honestly cannot figure this problem out. The book gives the answer and...

What Basis Bypass Ratio Has Chosen For Turbofan Engine

If 100 bu of corn per acre remove 90lb of nitrogen, phosphorus, and potassium (N, P, and K, respectively), how many pounds of N, P, and K are removed by the yield of 135u per acre? I try to figure out how to starting to solve this problem but don't know how some help please

Homework Statement 2 stars rotating around the common centre of mass have masses m and 3m. What is the ratio of the force due to each star at the common centre of mass. Homework Equations None The Attempt at a Solution I tried to find the centre of mass and applied Newtons law of...

Homework Statement Why would vibrational and rotational degrees of freedom affect the heat capacity ratio more for N2 and CO2 than He or Ar? Would this occur at room temperatures? Homework Equations d.o.f.: 3N vibrational d.o.f., linear molecule: 3N - 5 nonlinear: 3N - 6 The...

Homework Statement A person is standing on a sheet of ice so slippery that friction may be ignored. This individual fires a gun parallel to the ground. When a standard cartridge is used , a 13-g bullet is shot forward with a speed of 290 m/s, and the person recoils with a speed of vc. When a...

Homework Statement You are given two unknown point charges, Q_1 and Q_2 . At a point on the line joining them, one-third of the way from Q_1 to Q_2 , the electric field is zero (see figure). The charges are separated by length, L. What is the ratio of the charges Q1/Q2? Homework Equations...

A steel bar of rectangular cross section 120mm x 60mm is compressed along its longitudinal direction by a force of 1500kN. Do the cross sectional dimensions increase or decrease ? Calculate and write down the resulting dimensions for both sides for both sides of the cross section. Youngs modulus...

1. Torsion test showed aluminum to have shear modulus of 4.60x10^6psi. Under a tensile test, the same specimen showed a modulus of elasticity of 12.2x10^6psi. Find Poisson's Ratio. 2. Poisson's Ratio=lateral strain/axial strain 3. The ratio is a function of both strains. The...

1. \sum_{n=1}^{\infty}ntan\frac{1}{n} dont know where to start here 2. \frac{1*3*5*****(2n-1)}{n!} \frac{2n-1}{n!} \frac{2(n+1)-1}{(n+1)!}*\frac{n!}{2n-1} \frac{2n+1}{(n+1)(2n-1)} ->0 my book is showing divergence

The masses of the elementary particles are renormalized somewhat, when the energy (the momentum) increases. Assuming that the standard model of particle physics is correct to all energies, is there any data on how the ratio M_W/M_Z between the two vector boson masses changes with energy? Does...

What are some ways to improve signal to noise ratio for a microphone amplifier, beyond getting low noise components. My amplifier is a single opamp.

simple application please..o:)

Research-related question: What is the typical on/off ratio of a silicon transistor? This seems like basic information, but I can't find it anywhere. Also, how high does the on/off ration need to be in order for transistors (say, in a logic circuit) to function correctly? Thanks!

Given positive integers a, b, c, d and for fractions a/b and c/d, it seems that ( a + c )/( b + d ) is between a/b and c/d. There's likely an easy proof of this. I'd like to know if there's a formal name for ( a + c )/( b + d ) or the operation that brings it about.

Homework Statement Now you take off to an unknown planet with the same pendulum as in part (a). You measure the period of the pendulum on that planet and you find it to be twice as much compared to the one of the pendulum while on Earth. What is the ratio of ge on Earth to the gx of the...

Highest "income to working-hour" ratio Which careers have the best income to working hour ratio?

When a fuel/air mixture burns it expands. How much does it expand? Is there a formula or known volume increase? After a fuel burns it contracts. How much does it contract? Is there a formula or known volume that it contracts? Gasoline/Air mixture ratio is 15 to 1 for jet engines. A...

Frequently, I have encountered optimization problems which involve finding the optimal function to maximize the ratio of two integrals (bounds from 0 to infinity). e.g: Maximize \frac{\int_0^\infty (g(x))^3 g'(x) dx}{\int_0^\infty (g(x))^3(1-g(x)) dx} I am aware that variational calculus...

Hi guys, working a project where I need to guess the damping ratio (used for a numerical analysis) based on other properties of a material. We're looking to use an RTV as a vibration damper (we don't need a lot) but I can't seem to get any vibrational properties (called Honeywell, Dupond...

What is the Air/Propane mixture Ratio? The Fuel Air Ratio of a Jet Engine is 15 to 1. This is for JP4. What is the Fuel Air Ratio for Propane Gas? I have learned the only difference between a rocket engine and pulse jet engine is the pulse jet runs on the oxygen that is in the air (30%...

If I dig 2 holes a little space apart, and then they intersect straight down, because of the curvature of the earth, then there is more than one up direction from the center. The closer 2 points at an equal distance down from the surface in separate holes get to the center, the less distance...

If a transformer with coil ratios 2:1 creates a voltage twice that of the primary in the secondary coil why is the current halved? I realize that this is a consequence of the conservation of energy, but there must be a physical reason behind this. What is causing the additional impedance that...

Homework Statement During a total solar eclipse, your view of the Sun is almost exactly replaced by your view of the moon. Assuming that the distance from you to the sun is about 400 times the distance from you to the moon. Find the ratio of the Sun's diameter to moon's diameter.Homework...

Use the "bow-tie" diagram to state the value of each trigonometric ratio. a) sin 45 b) cos 60 c) tan 30 d) tan 45 My Answer: a) 1 / \sqrt{2} b) 1 / 2 c) 1 / \sqrt{3} d) 1 Once again with this text the wording has thrown me off. It asks for the ratios but throws in that you should...

Another transformer question: if I have an oil-filled transformer coil and I calculate the turns ratio with voltage in / voltage out at 60 Hz, why, when I increase the frequency to 23 kHz would the turns ratio appear to change? Is it because of the inductance of the primary coil? My boss'...

Homework Statement In an experiment similar to J. J. Thomson's, charged particles are observed to travel through a magnetic field of 0.040 T with a radius of curvature of 0.20 m. The path of these particles is made straight again when an electric field is introduced by two parallel plates...

Homework Statement Hi! I'm trying to calculate the energy ratio of EM-radiation in the visible spectrum and EM-radiation in the entire spectrum, of a body with known temperature. Homework Equations Planck's law: http://feps.as.arizona.edu/outreach/images/Blackbody_gr_3.gif.[/URL]...

Hi! I don't have ANY IDEA on how to do ANY kind of math problem coz i am not a math student but i have to do some QA questions for my entrance exams so I need a little bit of help here! so...here's the question:- The monthly incomes of A and B are in the ratio 8:7 and those of B and C are...

Dumb Question on "ratio" I have some text that implies the following (which makes abolutely no sense to me). The ratio of 1/12, 5/12, 7/12, 11/12 is 4/11 Can anyone think of any context or meaing of "ratio" here for which this statement would make any sense?

Homework Statement A clay ball of mass m hangs from a string with length L. When a second clay ball with mass 2m approaches it with a speed of sqrt(2gL) on the same plane. The collision is completely intelastic so that the balls stick together after the collision. Let T1 be ethe tension in the...

Homework Statement Calculate the pressure ratio of He to N2 at which helium would have the same density as nitrogen if their temperatures were the same. Homework Equations I used D = m/v The Attempt at a Solution DHe = mHe/v DN2 = mN2/v Both gases occupy the same volume, so...

Homework Statement A photon and alpha particle are accelerated from rest through the same potential difference. After acceleration what is the ratio kinetic energy of alpha particle / kinetic energy of proton? Homework Equations I guess I have to use eV = 1/2mv^2 The Attempt at a...

Hi there I am new to this forum but I am a regular contributor to the SOS maths forum. I am working my way through a book on Ordinary Differential Equations and this book defines the Amplification Ratio,M, of the system under the above motion as...

Homework Statement I know that the ratio test can be proved using the geometric series knowledge, but I'm looking for a way to prove the ratio test without the geometric series at all. The reason is that I'm proving the geometric series convergence with the ratio test, and my professor...

Homework Statement derive the equation for the bulk modulus, K = E/3(1 - 2v), where v is poisson's ratio. Homework Equations E = stress/e, where e is strain The Attempt at a Solution e_v = e_x + e_y + e_z e_y = e_z = -v*e_x e_v = (1 - 2v)*e_x K = stress/e_v therefore K =...

http://img13.imageshack.us/img13/4697/masteringphysicsq1gwk.jpg I got the first two, but I'm trying to figure out what to do for the others, do i take figure out the net force at the top and divide it by the weight force on ground? e.g i figured out at top the net force = 600N (just an...

Homework Statement A force F applied to an object of mass m1 produces an acceleration of 3.00 m/s2. The same force applied to a second object of mass m2 produces an acceleration of 1.30 m/s2. Find the ration of m1/m2 If m1 and m2 are combined, find their acceleration under the action of...

does anyone know something about the ratio of Planck length to Planck mass : signification, use in quantum relationships...

Plz help me on this problem: THe diameter of a certain sphere is 2 times the diameter of a second sphere. B what is the ratio of their areas? C. What is the ratio of their volumes? I try to put 1 and 2 as a diameter of the sphere then compare its areas and volumes but I'm not sure if...