A calculation is a deliberate process that transforms one or more inputs into one or more results. The term is used in a variety of senses, from the very definite arithmetical calculation of using an algorithm, to the vague heuristics of calculating a strategy in a competition, or calculating the chance of a successful relationship between two people.
For example, multiplying 7 by 6 is a simple algorithmic calculation. Estimating the fair price for financial instruments using the Black–Scholes model is a more complex algorithmic calculation.
Statistical estimations of the likely election results from opinion polls also involve algorithmic calculations, but produces ranges of possibilities rather than exact answers.
To calculate means to determine mathematically in the case of a number or amount, or in the case of an abstract problem to deduce the answer using logic, reason or common sense. The English word derives from the Latin calculus, which originally meant a small stone in the gall-bladder (from Latin calx). It also meant a pebble used for calculating, or a small stone used as a counter in an abacus (Latin abacus, Greek abax). The abacus was an instrument used by Greeks and Romans for arithmetic calculations, preceding the slide-rule and the electronic calculator, and consisted of perforated pebbles sliding on iron bars.
I need some help here. I'm trying to determine how to use the numbers I'm getting for my pony break to determine horsepower at the axle of my engine. Right now I'm getting a reading of six pounds of torque, 4 in off of the center line of the axle at a rate of 30 rpms. Can someone help me...
The question was this:
My calculations show that the answer should be equal to work done on crate to make it reach the same velocity which is equal to 216 J but the answer given is 432 J
It is believed that extra energy is needed to overcome friction but friction is an internal force and...
I'm playing a Steam game called Shapez wherein the goal is to produce and deliver given shapes to the Hub by conveyor belt.
In the screencap you can see resources of discs and squares and well as green and red, which are to be extracted, chopped up and recombined to form the "product"...
Hello everyone;
Please need some help to check if my calculation are correct (and if possible some explantation)
Bernoulli's equation between point 1 and 3 is given by:
P_1+1/2 ρv_1^2 + ρgh_1 = P_3+1/2 ρv_3^2 + ρgh_3
P_1 = P_(atm )
v_1= 0 m/s
h_1= 0.875 m
P_3 = P_(atm )
v_3= ? m/s
h_3= 0...
Dear Experts . How can I calculate the absorbed dose for any organ with mathematical formulas? For example, radio nuclide Ra -223 ,organ liver, time 1 hour , activity 1MBq.What methods can I use? Is there a pdf or book about it?
Hello all,
This is my first post so please be gentle with me..
I'm trying to work my way through some tricky questions so will post them below and see if anyone can give me some pointers.
The questions are:
A car weighs 1305kgs and accelerates from 0 to 160km/h in 4.2s. The first question asked...
If I have a air tank that is 1 cubic feet with the pressure gauge at 0 and I pump in air to 5000 psi how many cubic feet of a 100 psi would be in that tank? Any help would be appreciated
What approximate portion of generated heat from being active on the treadmill, both the person on it as well as the machines themselves would be compensated/cooled if the treadmill resistances would be disabled/removed and instead 1/2 end cylinders would be connected to an air conditioner...
Hi there,
I hope that somebody can help me with this.. Any response is much appreciated!
Let's have a vertical closed-loop system where the fluid circulates using the pump. The temperature in both sections gradually changes (the upcomer section is heated up) so that the densities, velocities...
Hi, All!
Can anyone help me to construct a card for calculation of a spatial activation? Reaction is 27Al(n,p). I used a tmesh card for calculation of neutron flux as:
tmesh
rmesh21:n flux
cora21 190 9i 210
corb21 -10 9i 10
corc21 -10 9i 10
ergsh21 0 20
endmd
Somewhere in a problem I...
Hi
I am designing a flyback converter. The calculation (.jpg file) is based on Daniel W. Hart Power Electronics book. The transformer model consists only of an ideal transformer and its magnetizing inductance (or "primary inductance" in some textbooks).
The datasheet of the transformer's core...
Hello,
I want to see if hydrocyclones can be used in a application, where we have small metall particles that we want to extract from a closed loop water system. I found a book "Chemical Engineering Design" written by Richardson, where there are some equations given that makes it possible to...
I've figured out parts A and B but I'm struggling with Part C. I used the equation V = kQ1/r1 + kQ2/r2 where Q1 = -4.4e-12C ; k = 8.98755e9 r1 = 0.026 m Q2 = 27.4e-12 and r2 = .051-.026 My answer (8.329 V) is wrong but I have no idea why. Please help if you can.
Hello!
Im given this function ## f:[-\pi/2,1] -> [0,1]## with f(x) = 1-x for x (0,1] and f(x) = cos(x) for x ##[-\pi/2,0] ##
And im susposed to find the centroid of this function so xs and ys.
For that I am given these 2 equations ( I found them in the notes)
## x_s =\frac{1}{A}...
I need to write an equation for Newton's second law for the above system, where k1=k2 (both springs are the same). The red line represents a bar with m=2kg, l=2m.
I know that I*α = M1 + M2 + M3
If we displace the bar by x, we get the angle of displacement theta.
M1=M2=-k*x
I know that...
Hey folks,
I've been looking around but can't piece this together as there are more than one equation and variable to take into account.
My situation - I have a pmma material disc on an axis , the center hole (axis hole) is 20mm wide so a radius of 10mm, while the outer edge is at a radius of...
IIRC, the Sun's gravity was calculated by Einstein et-al to provide a 'focus' about 550 AU out. Current value is ~542 AU.
Aside from effects due solar oblateness, frame dragging etc, may I assume this value also applies to eg neutrinos, gravitational waves etc etc ??
Hi, I'm calculating the work done by regular tetrahedron during taking from the water by crane (USING INTEGRALS). I don't know how bad is that solved so if anyone checks my work and gives me some advice or hints I would be very glad.
Everything is written in the PDF file.
There were given...
Hello,
I have a problem with reducing a stiffness of a front suspension. Unfortunately I don't understand how to get the reduced stiffness on the right side in the picture. (k_f=k/cos^2E)
Thanks in advance for your help.
Many greetings,
Semat10
Hi Guys, please please assist me!
I need to pick for a project at my work linear carriages which should work at this configuration :
As you can see, there is a piston which moves the plate on 4 bearings from the side (yes, I know, not the best configuration, but that's what we have given the...
Body 1 travels 48 light years from point A to point B at 82% of light speed.
Body 2 leaves point A 33 years after Body 1 and travels the 48 light years to point B at 99.99995% of light speed.
What I think I know:
Body 1 takes 58 years to reach point B according to an earth observer.
Body 1...
Hi,
Unfortunately, I have problems with the task 4
In task 3 I got the following
$$ T_f=T_ie^{\Delta S_i - c_i} $$
Then I proceeded as follows
$$ \Delta S = \Delta S_1 + \Delta S_1 $$
$$ \Delta S =c_1ln(\frac{T_ie^{\Delta S_i - c_i}}{T_1})+c_2ln(\frac{T_f}{T_2})$$
$$ \Delta S...
Hello, this question isnt really much about calculation but rather which view point is more correct.
See, in a gambling game called Baccarat a game is played where a player A ("player") and a player B ("bank") draw cards according to a fixed ruleset from a given card pot.
First A and B both...
Part (a) was simple, after applying
$$Q=\int_{\mathbb{R}^3}^{}\rho \, d^3\mathbf{r}$$
I found that the total charge of the configuration was zero.
Part (b) is where the difficulties arise for me. I applied
$$V(\mathbf{r})=\frac{1}{4\pi \epsilon _0}\int_{\Gamma }^{}\frac{\rho...
Hi all
In order to make a metal preframe for a French window as an entrance door, I began to estimate the possibility of building it in rectangular steel tubes of 100 x 50 x 3 mm, laid independently of the walls that could not accept such a load because it was timber framed. The preframe will...
When we derive the formula of the redshift by the equivalence principle we imagine a light ray which goes from the bottom to the top of the elevator and which would take a duration t = h/c to make the journey, with h = height of the elevator. I don't understand why t = h/c, because while the ray...
Good morning,
I need some help solving those two question. I've attached my attempted solution below. Could i solve the transfer function any further?
Thank you for your help
So,
##\hat{p}(\omega)=\int_{-\infty}^{\infty} p(t)e^{-i\omega t}\mathrm{d}t=A\int_{0}^{\infty}e^{-t(\gamma+i(\omega+\omega_0))}=A\left[-\frac{e^{-t(\gamma+i(\omega+\omega_0))}}{\gamma+i(\omega+\omega_0)}\right]_0^\infty,##
provided ##\gamma+ i(\omega+\omega_0)\neq 0## for the last equality. Now...
Hi, I am a new user,
This question is bothering me for a long time and now with all the Webb telescope hype I need to ask:
It sounds very logical to think that a star that is a billion light years away is seen as it was a billion years ago because the light
took 1 billion years to get here...
Dear all,
I'm currently working on a basic coating application and I'm struggling to get the flow rate stable.
I'm trying to figure out how to calculate the theoretical flow rate in the application.
The coating is stored in a pressure tank, which we put on an overpressure of 15psi.
From the...
Hello everyone!
I've been trying to solve this circuit but there's something wrong. Firstly, I made a Delta-Y conversion so that1 and zA were in series, and so were z5 and zb. I really don't know if writing "I0=IA-IB" is correct, cause basically I0 is the current that flows between the nodes A...
Summary: calculating modulo i.e remainder when -3 divided by 26
The answer seems to be (26-3)mod26=23. But I'm not sure how? Is there some rule like that? I don't quite get it.
How often during your work do you use a symbolic calculation tool like Mathematica / Maple / SymPy? Is it worth learning(especially for a theoretical physicist)? Thank you.
Dear Mr. and Ms.,
I am trying to measure the autocorrelation functions of 2D ising model based on the equation given by
where A(t) denote a measure. I calculate a c(t) of magnetization. I calculated in this way
data_path = f"../../trajectory/data.txt"
data = np.loadtxt(data_path)...
A question about the FLRW solution has confused a few of us. At time ##t_0## a particle has radial speed ##v_0^r## relative to the fundamental observers, and at a later time ##t_1## it has radial speed ##v_1^r##. The task is to show that\begin{align*}
\frac{a_0}{a_1} =\frac{v_1^r \gamma_1}{v_0^r...
I'm interested in chemistry but it's all new for me and I'm just starting out. I tried to do some calculations but got stuck...
I was wondering, for example a supplement has the following values:
Molar mass: 306.247 g mol-1
Tmax 2-4 hours
Cmax 363.3 ng / ml
Half life: 11.21 hours
How do...
I had used the same constraint as the solution manual says.
So my two Lagrangian would be
##L_1=\frac{1}{2}m_A\dot{x_A}^2+\frac{1}{2}m_B\dot{x_B}^2+\frac{1}{2}m_C\dot{x_C}^2+m_Cgx_C+T(x_A+x_B+2x_C-c)##
whereas c is just a constant.
Of course, I have to write my Lagrangian using constraints...
Hello everyone!
I've been reading Mr. McMullen's book and took some curiosity in an equation on the cover art, it is as follows:$$y_{cm} = \frac \rho m \int_{r=0}^R\int_{\theta=0}^\pi (r\sin \theta)rdrd\theta$$I'm trying to understand what it means, firstly the limits of integration for the...
During a reactor assembly calculation, I need to determine axial and radial flux distribution over the surface. When I use F2 and F4 tally I get some value with unit 1/cm**2
What does the value means, neutron flux is supposed to be in the 10^14 range but output values are 10^2 range.
Can anyone...
The calculation of the vacuum energy density gives us a discrepancy with reality. There should be a mass equivalent of about $10^{96}$ kilograms. I'm wondering if the assumed point-like "structure" of particles could be the cause of this wrong value.
Since string theory doesn't assume a...
I'm computing the trajectory of a moving body and my net is composed by 5 stations.
My observations are DTOA: difference in time of Arrival (they have been linearized).
I am trying to use Least Squares with a linear model: Y = Ax + b, where Y are the observed measurements (DTOA), A the design...
I've already tried to calculate the potential with respect to the 3 segments and then apply superposition (V1+V2+V3). However, I was not very successful. My error I think is in the calculation of the radii, mainly of the line segment that is on the z axis. Can anybody help me? I need some light...
Hi all,
I am currently reading through this paper: https://iopscience.iop.org/article/10.1088/1367-2630/10/4/045030
and would like to reproduce their results for N=5.
My roadblock is with (9), which models the classical motion of the system. Now symbolically finding the eigenstates of the matrix...
Hey all,
I am currently trying to find the Eigensystem of the following 5x5 matrix in Mathematica. Unfortunately, doing so takes an insanely long time (I cannot even call Eigensystem[p][[1,1]] in a reasonable amount of time). Does anyone have any advice? Also I cannot simply redefine new...
Inductance of antenna coils of different shapes can be estimated. Some examples are:
A circular coil with single turn.
N turn multilayer circular coil.
Spiral coil.
N turn squae loop coil.
etc.
For plannar design (spiral, rectangular, etc) I have used this reference (from pag. 9 onwards)...