Ratio Definition and 1000 Threads

Apologies if my question is confused, because I'm beginner in field theory: adding up all corrections, can we talk about an effective (at least approximate) overall mass-to-charge ratio for the electroweak or QED vacuums? Suppose we want to talk about the relative strength of...

Hello As far as I know, the reaction velocity depends on the isotope ("kinetic isotope effect"). So, is the isotope ratio (for example, for Nitrogen or Carbon isotopes) dependent on the trophic level? Thank you for your time. Regards, Alvaro.

Steel has a "Poisson ratio" μ of 0.29 (in my book of problems at least). Am I understanding the meaning of this ratio correctly: if a steel cylinder is stretched along its symmetry axis by a factor p (something like 1.01 or 0.99) then the radius will change by a factor 1-μ(p-1)? [So then the...

Homework Statement A constant torque is applied to a pinion which has a moment of inertia of I_m. The pinion(A) drives two gears, one (B) which is connected to a mass which has a moment of inertia = I_m and the other(C) is connected to a mass which has a moment of inertia = 2I_m. The gear...

Hi, As per my observation and experience, when we use evaporative cooler to cool the inlet air to the gas turbine, the compressor discharge pressure (i.e PCD or P3) rises. As, the temp. of the inlet air drops and the mass flow increases due to the increase in density, I believe the discharge...

In SI units, the mass-to-charge ratio of the electron is $$\frac{m_{e}}{|q_{e}|} = \frac{9.11 \times 10^{-31} \text{kg}}{1.6 \times 10^{-19} \text{C}} = 5.7 \times 10^{-12} \text{kg/C}.$$ In which system of units do we have the dimensionless mass-to-charge ratio $$\frac{m_{e}}{|q_{e}|} \simeq...

Here's the question: Last year there were three candidates who ran for mayor, Morris, Jackson, and Victor. Out of a total of 12,320 votes, Jackson received 30% of the votes. If for ever 3 votes for Morris there were 5 votes for Victor, how many votes for Jackson were there for every 7 votes for...

We are wondering if there is an ideal ratio of simple green + glass cleaner to get the bugs off & keep it streak-free. Thought there might be a chemist with the ideal ratio. We will experiment and let you know what happens.

So I have been looking into efficiency, My system is high radius with the motor located outside. This motor is small, and thus the gear being driven by the motor, is also small for space requirements. I have wanted to use a ratio of about 22:1 to make this system, and everything seems to work...

Homework Statement Consider a charge distribution which has the constant density ##\rho## everywhere inside a cube of edge ##b## and is zero everywhere outside. Let ##\phi## zero at infinity, ##\phi_0## at the centre of cube and ##\phi_1## at one corner of the sphere. Determine the ratio...

What's the average aspect ratio of human vision as we perceive it?

Homework Statement Wheels A and B as shown in the figure are connected by a massless belt that does not slip. The radius of A is R and the radius of B is r. What is the ratio of rotational inertias ##\frac{I_a}{I_b}## if the two wheels had the same angular momentum about their central axes...

Regular hexagon $ABCDEF$,points $M$ and $N$ are midpoints of $\overline{CD}$ and $\overline {DE}$ respectively, point $P$ is the intersection of $\overline {AM}$ and $\overline{BN}$ Find $\dfrac {\overline{BP}}{\overline {PN}}$

Hey guys. Last question I have is A scale on a drawing is 1/8" = 3'. Determine the length of a rafter if it measures 1 3/8" on the blueprint. Thanks

Whats the difference between (4/3) and -(4/3) Why ratio in external division is negative? I have answer for how it is negative but not why? X = (mx2+nx1)/(m+n) ⇒ (mx2+nx1) = X(m+n) ⇒m(x2-X) = n(X-x1) ⇒(m/n) = (X-x1)/(x2-X) From the above equation we can conclude that when division is...

I have constructed a torsional balance, which basically consists of a torsional spring, and a damper. I model this as a spring mass damper system. And it is used to measure thrust of some propulsion system. This is how the system looks like. I am just very eager to find out, how to model the...

I got a couple of questions to ask. And if you can just tell me how you would solve these like how would you setup the equation: 1. A bronze casting is made up of six parts copper, five parts tin, and one part antimony. The casting has a mass of 60KG. Find the mass of each component in Kg. 2...

Homework Statement What is the ratio of inertia of a 5 meter radius disk to that of a 5 meter radius ring? How would this ratio change if the ring were replaced with a since point mass a distance 5 meters from a pivot point? Homework Equations I = mr2 The Attempt at a Solution The wording in...

I would like to calculate the gear ratio of this moonphase watch, however i cannot calculate the exact day of its mentioned. What's wrong with my calculation? https://www.ochsundjunior.swiss/watches/moon-phase/tech-specs/ my calculation is 1/(2/12*14/18*14/109)/2=30.03 which is different from...

Hi. I'm doing some questions about ratio and proportions. I'm just having difficulty with some of the questions and i hope you guys can help. So question 1: A length of chain 15'-3" long weighs 78lbs. How long would a similar chain be if it weighs 102lbs. (Answer to nearest inch) Length...

Hello everyone, I am working on a 3.2 meter wing span electric aircraft with another group of 30 engineering students. In calculating the induced drag and lift for preliminary calcs I am a little confused as to whether I need to include the width of the fuselage in the wing span(b) for induced...

The problem statement, all variables and given/known data with attempts While solving problems of Goodness of fit, I'm faced with an issue, how to decide which ratio to consider to find the test statistic from given set of observations. E.g. 1 A supplied sample contains four types of seeds and...

Hi, I am studying about F ratio and how, as a random variable, it follows F Distribution. So let me explain what confuses me. This is what the theory says -- We draw two random samples $sample_x$ and $sample_y$ from two different Normally distributed populations with equal variance...

NO TEMPLATE BECAUSE SUBMITTED TO NON-HOMEWORK FORUM I'm stuck on substituting the following (where gamma is the specific heat ratio): W=(P1v1 - P2v2) / (gamma-1) P1v1^gamma = P2v2^gamma substituting for v2... <= this is where I get stuck... W = [(P1v1) / (gamma-1)] * [(P2 /...

Hi everyone! In a simulation using COMSOL, the ratio of specific heats of both 52NiO-YSZ and YSZ are required as these materials are not included in the software's bibliography. So, I would like to know the ratio of specific heats (gamma) of 52NiO-YSZ and YSZ. Thank you.

I read people saying that dy/dx is not a ratio because it is a limit or standard part of a ratio. $${dy\over dx} = \lim_{h \to 0} {f(x +h) - f(x) \over h}, \ \ \ {dy\over dx} = st\left( {f(x +h) - f(x) \over h}\right)$$ what I get is ##{f(x +h) - f(x) \over h}## is a ratio but putting a limit...

I'm trying to calculate the required gear sizes for the system shown below: The driven wheel is connected to a 600mm diameter bicycle wheel and the driver wheel connected to a 580 mm long lever arm which has a forward driving force of 40 N. I want to calculate the most efficient sizing of...

Homework Statement Two cylindrical resistors are made from the same material and have the same length. When connected across the same battery, one(A) dissipates twice as much power as the other(B). Find ratio of dA/dB. Homework Equations P = VI = V2/R = I2R Area of cylinder = 2πrh + 2πr2 The...

Based on the vast cosmology texts, I have seen that the expression for the tensor-to-scalar ratio ##r## in cold inflation is, ##r=16\epsilon_H = -16\frac{\dot H}{H^2}\qquad## where, ##~~~\epsilon_H = -\frac{\dot H}{H^2}## ##H## is the Hubble parameter, and ##\epsilon_H## is the Hubble slow...

I'm a mechanic who is currently doing a study automotive engineering. Being someone who worked on both diesel and petrol cars I know what a higher or lower air fuel ratio (AFR) will do for both engines. However I don't fully understand how the following is possible. "Adding fuel in a diesel...

The length of a rug is eight times greater then the width. if the width of the rug is (w+5), what is the ratio of the area of the rug to the perimeter of the rug in simplest form?

Homework Statement An avant-garde composer wants to use the Doppler effect in his new opera. As the soprano sings, he wants a large bat to fly toward her from the back of the stage. The bat will be outfitted with a microphone to pick up the singer's voice and a loudspeaker to rebroadcast the...

Homework Statement Calculate the ratio of the drag force on a jet flying at ##1200 km/h## at an atttude of ##15 km## to the drag force on a prop-driven transport flying at half that speed and altitude.The density of air is ##0.38(\frac {kg} {m^3})## at ##10 km## and ##0.67(\frac {kg}...

Homework Statement The following chart shows the temperature before and after Melting Ice. (A, B) have the same amount of water. If the heat required to fuse both cube are equal. The ratio between the two cubes mass: Cup Before After A 25 21 B 25 23...

Hi there, I need help with the following situation. Apologies if I'm not using the correct arithmetic terms! Variables: d,e,f e + f = g d / g = j j x e = K j x f = L K + L = M d = M the above situation is a simplified problem, which is easily solvable. Here's where I run into trouble...

Hello it's me again, I looked into connections between Pure Mathematics and Physics again and came across this interesting Web Page that proposes time in Quantum Physics may be related to Phi << Dubious Link Deleted by Mentors >> it's not a lot to read and I was wandering what you people think...

Hi. In thermodynamic equilibrium, the ratio between spontaneous and stimulated emission is $$\frac{A_{21}\cdot N_2}{B_{21}\cdot N_2\cdot u(f)}=e^{\frac{hf}{k_B T}}-1$$ where ##A_{21}## and ##B_{21}## are Einstein coefficients. This means, that there's always much more spontaneous than...

Homework Statement I would like to understand how the limit was changed in the ratio test from step 1 to step 2 in the image that I've posted. I thought that the denominator would look like (2/n+2)(2/n+1) in step 2 since it looks like we are just turning the n's into reciprocals. Any help here...

Homework Statement Consider the rod as shown in the figure. The coefficient of static friction at A and B is \mu_s. I'm trying to find how big and how small the ratio l/d can be for the rod to still be in equilibrium. I have calculated how big all forces are acting upon the rod in the case...

Hi All, I have just found in the internet an identity showing that the Golden Ratio can be expressed as a function of the cosine of the angle of 36 degrees. It seemed to me as an important fact related to this specific angle. Had this fact, historically, any relevance to the choice of the 360...

I am trying to better understand likelihood ratio test and have found a few helpful resources that explicitly solve problems, but was just curious if you have any more to recommend. Links that perhaps work out full problems and also nicely explain the theory. Similar links you have found...

Homework Statement A cart mass of M moving at 3V (right) collides with a stationary mass of M, Determine the ratio of the two final velocities if the collision is elastic Homework Equations p=mv ek=(mv^2/2) The Attempt at a Solution m1v1=m1v1'+m2v2' Since the masses are all equal and v1 is...

Homework Statement In classical physics, a system's magnetic moment can be written like so: \mu = g\frac{Q}{2M}L, where ##Q## is the total charge, ##M## is the total mass of the system and ##L## the angular momentum. a) Show, that for a cylinder (##I = \frac{1}{2}MR^2##) spinning around its...

$x,y,z\in R^+$ $x=\sqrt{{y^2}-\dfrac{1}{25}}+\sqrt{{z^2}-\dfrac{1}{25}}$ $y=\sqrt{{z^2}-\dfrac{1}{36}}+\sqrt{{x^2}-\dfrac{1}{36}}$ $z=\sqrt{{x^2}-\dfrac{1}{49}}+\sqrt{{y^2}-\dfrac{1}{49}}$ $find \,\,\,\, x:y:z$

Homework Statement I need help on figuring out part C which is determining the ratio between ##t_1## and ##t_2## in order to get constructive interference. I'm given the index of refractions ##n_1=1.5## and ##n_2=2## and that I know that wave 1 and 2 have half cycle shift and wave 3 does not...

I am doing some multi-fluid hydrodynamic modelling and I have a quick question. I think I know the answer, but I am not convinced. One of the things that I need to know is the specific heat ratio, ##\gamma##, for the gas and my question is, how does one calculate this from the values of each...

Homework Statement The number density of 1H nuclei in the body is roughly 600 times greater than that of 13C nuclei. By what factor is the magnetisation M0 of 1H greater than 13C in the same external magnetic field? Homework Equations 3. The Attempt at a Solution [/B] Surely it can't be as...

$\tiny{206.10.5.84}$ \begin{align*} \displaystyle S_{84}&=\sum_{k=1}^{\infty} \frac{(4x)^k}{5k}\\ \end{align*} $\textsf{ ratio test}$ $$\frac{a_{n+1}}{a_n} =\frac{ \frac{(4x)^{k+1}}{5(k+1)}}{ \frac{(4x)^k}{5k}} =\frac{4xk}{k+1} $$ $\textsf{W|A says this converges at $4|x|<1 $ so how??}$

Homework Statement At a certain time, two radioactive sources R and S contain the same number of radioactive nuclei. The half-life is 2 hours for R and 1 hour for S. Calculate: (a) the ratio of the rate of decay of R to that of S at this time. (b) the ratio of the rate of decay of R to that of...

Homework Statement A cylindrical metal can is to be manufactured from a fixed amount of sheet metal. Use the method of Lagrange multipliers to determine the ratio between the dimensions of the can with the largest capacity. Homework EquationsThe Attempt at a Solution $$V(r,h)=\pi r^2h$$ $$2...