Ratio Definition and 1000 Threads

Hi, For a final drive of a light commercial truck, I have to design a final drive helical gear pair. The expected ratio is 8.2. The centre distance is 134 mm. The input max. torque is 120 Nm. I have sized few combinations. I have a feeling that this ratio is too deep. Pl. share me your...

Homework Statement We are given the fact that 0.12 mol NaOH reacts with 0.015 mol methyl salicylate (C8H8O3) to form disodium salicylate (C7H4Na2O3). We're asked to calculate the mole ratio of NaOH to C8H8O3, identify the limiting reagents, and find the theoretical yield. Homework Equations...

Homework Statement Two trains, A and B, are moving towards each other with relative speed 0.8c. The passing of the two trains (from when their fronts align to when their backs align) takes 20% longer as observed from train A as is does as observed from train B. What is the ratio of the length...

I was trying to emulate a packed bed reactor, and apparently the pressure midway at the packed column became zero, until my numerical method failed altogether (as the pressure variable in the Ergun is at the denominator). I'd like to be enlightened about one thing - does this phenomena (zero...

Homework Statement Some of the earliest atomic models held that the orbital velocity of an electron in an atom could be correlated with the radius of the atom. If the radius of the hydrogen atom is 10^−10 m and the electrostatic force is responsible for the circular motion of the electron...

So here's the question. In industry, the relationship between wages and the quit ratio of employees is defined to be the percentage of employees that quit within 1 year of employment. The quit ratio of a large restaurant chain that pays its employees the minimum wage \$6.55 per hour was .2 or...

If I want to calculate the number of moles ratio of reactants which, in a reversible reaction of equilibrium constant K, will give me a certain yield 'f', what is the mathematical definition of the yield in this case? For instance, in the reaction A + B ⇔ C + D, let's say we can denote extent...

Dear all, Does anyone know common symbols used to represent the ratio of two surface areas? The ratio is the surface area of low temp. heat exchanger divided by the total surface area of low and high temp. heat exchanger: AL/AT = area ratio, i want to find or create a symbol for. I would...

I quote a question from Yahoo! Answers I have given a link to the topic there so the OP can see my response.

WHat is the permissible maximum transmission ratio of a Spur gear pair? I read somewhere that it is 1:5. What wil happen if this is exceeded?

As titled.This was taught to me in machine design, but I don't see how that makes sense I would think that doesn't matter how many teeths are in contact, since the force between gears are distributed on each pair of teeth in contact, more engaging teeth just mean the friction is distributed to...

Homework Statement Mild steel bar 40 mm diameter and 100 mm long, subjected to a tensile force along its axis (through central length) Youngs Modulus = 200GN m^-2 Poisson's ratio = 0.3 Calculate the force required to reduce the diameter to 39.99mm (there is also a picture saying Use...

I was searching through old threads that had not been replied to and I found one by 'japam' from Feb 6, 2005. After solving it, I realized that the thread was closed so I am reposting it now in case 'japam' is still curious :) -------------------------- His question was: Suppose you have two...

Homework Statement From the waveform shown below, estimate a) the damping ratio ζ (you may compare response with a standard chart); b) the forced or damped frequency of oscillation; and c) the natural or undamped frequency of oscillation. Homework Equations Since the waveform is under...

"When triangles are similar, ratio of corresponding sides is equal." "When triangles are similar, ratio of corresponding sides is equal." I was wondering if there is any theoretical proof for this statement or is it only experimental?

What is the observed DM ratio in CMB ? Is there observational evidence for the DM ratio in the CMB? Other then the info-graph from Wikipedia which I was explained is based on the assumption of DM being the same total amount back then but the mass of relativistic particles was higher. Would...

0.17777777777 convert into a ratio.

Homework Statement A beam of unpolarized light is incident on a series of three polarizers as shown. The angle of the transmission axis of each polarizer is indicated by the dashed line, with q1 = 110, q2 =230, and q3 = 370 (all defined relative to vertical). What is the ratio of the...

Homework Statement If I_n = \displaystyle \int^1_0 x^n. \sqrt{1-x^2} dx then \lim_{n \to \infty} \dfrac{I_n}{I_{n-2}} is equal to Homework Equations The Attempt at a Solution Integrating by parts x^n \displaystyle \int \sqrt{1-x^2}dx - \int nx^{n-1} \int \sqrt{1-x^2} dx But...

Reading my old copy (3rd edition) of H&R's Fundamentals of Physics and it states that no theory can predict the value of the proton:electron mass ratio to date, and that it's a "sure-fire" Nobel Prize problem. Has this been resolved yet? Can't find anything on the web. Thanks in advance.

Homework Statement $$ \sum_{n=1} ^\infty\frac{1} {2^n} $$ Homework Equations The Attempt at a Solution I know just by looking at it that it converges no problem. You do the ratio test and you get something of the form \displaystyle\lim_{n\rightarrow \infty}...

Hey, I need to calculate the angle of an incline, But they only give me the ratio of 1:25, The only thing i can think of what to do is, 1 / 25 = 0.04 then 100% x 0.04 = 4 degrees, Im i right in asuming this?

I quote a question from Yahoo! Answers I have given a link to the topic there so the OP can see my response.

Homework Statement Two masses, one of 20kg and the other of 40kg, are pushed using the same force on the same distance. What is the ratio of the kinetic energy? (Kinetic energy of 20kg/kinetic energy of 40kg) Homework Equations Ek=mv^2 F=ma v=at The Attempt at a Solution So, I...

Homework Statement show ## \sum \frac{x^{2}}{(1+x^{2})^{n}} ## converges uniformly on R Homework Equations The Attempt at a Solution I know by ratio test it is absolutely convergent for all x in R. I am guessing you use m-test. However I do not really understand how...

Homework Statement Consider an electron confined by a 1 dimensional harmonic potential given by ## V(x) = \dfrac{1}{2} m \omega^2 x^2##. At time t=0 the electron is prepared in the state \Psi (x,0) = \dfrac{1}{\sqrt{2}} \psi_0 (x) + \dfrac{1}{\sqrt{2}} \psi_4 (x) with ## \psi_n (x) = \left(...

Hello all, this is my first post. I was wondering if any of you could point me in the direction of a source with details on propeller aircraft able to produce a T / W Ratio greater than one. Thank You!

Homework Statement Homework Equations So far I have only worked on question 1, as I was not able to solve it. The likelihood ratio test statistic is defined as follows: λ = 2 Log(L(theta-hat)/L(theta-hat_0)) Where L is the likelihood function, the product of all the pdfs/pmfs, and theta-hat is...

Hi, I am a researcher in (analytical) philosophy. I am writing a paper on the conventionalism vs. objectvism about temporal metric, which is focused on a problem that arises before any relativistic consideration. However, in a note, I just wrote the following "the ratio between temporal lengths...

Homework Statement ∞ Ʃ n / 2^n n=1 Homework Equations ratio test lim |a(n+1) / a(n)| n->∞ The Attempt at a Solution I have the answer and the steps its just there's one part I am confused on, first I just apply n+1 to all my n terms, which gives me, ∞ Ʃ...

A 200mv peak to peak sinusoidal signal is applied to an ideal 12 bit A/D converter, for which Vref(v p-p full scale) is 5v. Find signal to noise ratio. This is a problem worked out by one of my lecturer and the answer seems to be 46dB. But I am confused on his method. Is there anyone who...

Is there a specific mathematical term, which refers to this expression? A * B ------ A - B

In the figure, a 105 kg uniform log hangs by two steel wires, A and B, both of radius 1.25 mm. Initially, wire A was 2.50 m long and 1.80 mm shorter than wire B. The log is now horizontal. Young's modulus for steel is 2.00 × 1011 N/m2. What is the ratio dA/dB? I'm honestly at a loss for how...

Homework Statement Simplify this: y = ((k^1/2)/(l^1/4))/((l^1/5)/((k^1/8)) Ideally I would like to make rather than (k/l)/(l/k) simply (k/l) Homework Equations y = ((k^1/2)/(l^1/4))/((l^1/5)/((k^1/8)) The Attempt at a Solution y = (k^3/8)/(l^1/20)

I am trying to determine convergence for the series n=1 to infinity for cos(n)*pi / (n^2/3) and I am doing the Ratio Test. I found the limit approaches 1 but is less than 1. Does this mean that the limit = 1 or is < 1? I am somewhat confused since this changes it from inconclusive to convergent.

Homework Statement 1) If limestone (calcium carbonate) and clay (assume aluminum silicate) are mixed together and heated then the result is cement. Cement is a mixture of calcium oxide, carbon dioxide, aluminum oxide, and calcium silicate. These bags can be purchased at any building supplies...

Back in november I asked the forum about this fractal: http://en.wikipedia.org/wiki/File:Phi_glito.png At the time I couldn't figure out how to make it. Since then I've figured it out. I used MS Excel. I'm not completely satisfied though. There are some gaps between the major...

Homework Statement Find the turns ratio across the transformer such that a spark is given off at the points AB. The distance from point A to point B is 5.00 mm. AB is the distance across the secondary coil. The frequency and voltage of the primary coil is given. Homework Equations...

Let $$ABC$$ be a triangle such that $$\frac{BC}{AB-BC}=\frac{AB+BC}{AC}$$. Determine the ratio $$\frac{\angle A}{\angle C}$$.

Homework Statement Base station transmits signal t which is received by two antennas such that: x = h1t + n1 y = h2t + n2 where n1 and n2 are independent additive white Gaussian noise with variances σ21 and σ22 respectively. h1 is the channel gain between the base station and receive antenna...

From control systems: I am asked to find the value of K that gives the closed loop damping ratio of 1/sqrt2. The value for the complimentary sensitivity is T(S)=(2KS +4K)/(s^3 +162S^2 +(320+2K)S +4K) so how do I find the value for K? I tried putting it in the general equation, but it...

I am currently studying the star Qatar-1 and its orbiting planet Qatar-1b on the Agent Exoplanet website: http://portal.lcogt.net/agentexoplanet/ where they are studying exoplanets and their transit times across their stars. After going through a 130-image process of using calibrators to...

Homework Statement \sum ftom n=1 to \infty (-2)n/nn. The Attempt at a Solution limn->\infty | (-2)n+1/(n+1)n+1) x nn/(-2)n | = |-2|limn->\infty |(n/n+1)n*(1/n+1) | If it were only (n/n+1) then would the answer be 2e? Either way, how do you sole this the way it is?

Hi guys, I have a question about gear ratio, sprocket or wheel ratio. So let's say I have a motor with connect to a small output sprocket, and I want to use this motor to pull some load, so in order to do this I need to connect the chain with a larger sprocket, let's say 2 time bigger than...

[FONT=courier new]$$\lim_{x \to \pi/4} \frac{1-\tan(x)}{\sin(x)-\cos(x)}$$ progress: I start with rewriting $\tan(x)=\frac{\sin(x)}{\cos(x)}$

i am looking for the amplitude ratio and phase shift of this graph? could someone explain me how to obtain these results from this type of graph? thank you

I have a question wondering if you guys could check over for me . I have a solution no sure on its accuracy! the question is in two parts a bar has a 25mm diameter and is subjected to a tensile force of 61Kn, the extension on a gauge length of 50mm is 0.1mm. calculate the youngs modulus in...

Homework Statement Two particles are falling in a lab frame. The charge to mass ratio of particle one is held at 1, while the charge to mass ratio of particle 2 is changed from 1 to 0.5. How does the motion of the second particle changed with respect to the first. Would this change cause...

Some of you may be familiar with Dingle, an "opponent" of SRT. I can condense his argument (the only one I know about anyway) to a sentence or two. Solve the Lorentz Transform for delta-t-prime, then divide through by delta-t. delta-t-prime/delta-t = gamma - gamma*v*delta-x/delta-t...

Let's start with a generalized example: 3A + 1B -> 2C For the mole amount next to each molecule, am I always to consider these as relative to one another or absolute? Most of the videos I have seen are describing the above as "for every 3 moles of A and 1 mole of B you get 2 moles of C". I...