Calculation Definition and 1000 Threads

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.

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  1. A

    A Calculation of Fourier Transform Derivative d/dw (F{x(t)})=d/dw(X(w))

    Calculation of Fourier Transform Derivative d/dw (F{x(t)})=d/dw(X(w)) Hello to my Math Fellows, Problem: I am looking for a way to calculate w-derivative of Fourier transform,d/dw (F{x(t)}), in terms of regular Fourier transform,X(w)=F{x(t)}. Definition Based Solution (not good enough): from...
  2. ramadhankd

    Shredder Cutting Area Calculation

    Hello everyone, I'm trying to design a plastic shredder machine, but I'm stuck on how to determine the cutting area of my shredder. I've already made some research, and I think that the cutting area depends on the blade thickness and the plastic thickness. As for why the blade thickness is...
  3. T

    Calculating Uncertainty: Where Am I Going Wrong?

    So the only part of this question I am having an issue with is the uncertainty part in part e). I have included the whole question as reference. So to derive the uncertainty in ff I used the uncertainty equation outlined above but the issue is that when I propagate the uncertainty I end up with...
  4. Matt Raj

    Two Leaning Sticks (Torque Calculation)

    I attempted this problem trying to balance torques but I couldn't because the length of the left stick is unknown. From the right stick I got that mg/2* cos θ = F_f but from the left stick I got that Mg/2sin θ =N* r where r is the ratio of the length of where the sticks meet and the total length...
  5. Manasan3010

    Quickest way to do this calculation

    ## \frac{-3x^4}{7}+x=\frac{-3x^4}{7}+10 \\x=10## I solved the equation and got x=10, My question is how can I solve for x without brute-force method( Multiply all terms by (x-13)(x-7)(x-14)(x-6) and solving for x)
  6. D

    I Calculate Time & Distance Dilations: 50k Years & 1 Day

    I m a noob, I wanted to figure out the time dilation for an observer on Earth who passed 50,000 years, and the Traveler at light speed(99.9%) passed ONE DAY. I mean we pass 50,000 years on Earth and the Traveler spends One day.Problem is I tried many online calculator, but each one is giving me...
  7. G

    Calculation of minimum angular velocity of a mass on a spinning plate

    Problem Statement: How to calculate minumum angular velocity of a mass on a spinning plate Relevant Equations: f=mrw^2 Hi, here's the question: a) A rough horizontal plate rotates with a constant angular velocity of w about a fixed vertical axis. A particle of mass m lies on the plate at a...
  8. S

    Gearbox Selection and Calculation

    Hi everybody I want to buy a gearbox very near of the one used in the wind turbine I need the input RPM to be 1 rpm and the output to be 1500 rpm Please your support to can find this gearbox
  9. J

    I Why does this inverse square calculation fail to predict actual data?

    The test data and notes are attached - showing that the inverse square calculations fail to reasonably predict the actual dimming of light over a test distance of 168 mm. Did I err in my test design or my calculations?
  10. P

    Making torque calculation from spring specifications

    I was thinking about making a kind of counterbalance weight. So I was looking this spring to make a constant torque motor. https://www.ondrives.com/sr119 They come in many sizes but to take this one as an example it's listed as 6.18N (63kg) at the top of the page. At a glance considering the...
  11. Joe591

    Help with a Bending Stress Calculation

    I've attached a photo of a "problem". How would you calculate the stress at the area in question? I seriously doubt that the bending stress would vary linearly throughout the whole meter of total length of the section. I would expect it to become zero long before it reaches the opposite...
  12. Benjamin_harsh

    Moment of Inertia: Calculation Method

    Ratio of moment of inertia of a circle and that of a square having same area about their centroidal axis is: Sol: both area and square have same area: ##a^2 = \large\frac{π}{4}\normalsize d^{2}; \large\frac{d}{a} =\large \sqrt\frac{4}{p}## Ratio of moment of inertia of a circle and that of a...
  13. C

    Tricky heat calculation from the 1850s

    Hi everyone ! I'm calling for help, for I have been unable to make sense of 1850s calculus ! In the Mechanical Theory of Heat, R. Clausius introduces the mathematical expression of internal energy by investigating an infinitesimal Carnot cycle (that is to say all volume variations are...
  14. S

    What are the rate equations for neutron capture on unstable nuclei B?

    Summary: Problem: nuclear physics, neutron capture In the problem one should calculate time dependence of number of nuclei. Problem statement: Neutron beam radiates sample A with initial number of atoms N0. With neutron capture nuclei (cores) of A are transitioning to nuclei B (they are just...
  15. G

    Pendulum Hammer Impact Force Calculation

    Hi all, I'm a bit embarrassed but I'm extremely rusty with a lot of engineering principles. I've mainly been working in automation and controls within a manufacturing setting and have not done anything like this in ages. Anyways, I have a problem I need to solve and I need to determine the...
  16. T

    Aerodynamics and Torque calculation

    Hi :) I have to mount solar panels to columns. And for the stress calculations, I can't calculate the torque :( Could you help me out?
  17. S

    A Preventing Oscillations w/ Coarse Calculation Increments?

    I'm trying to solve the following set of equations across several discrete increments. These aren't the exact equations I'm using, but they're a simplified version with the same general structure...it's basically a set of equations describing a transfer rate along a fixed length, where "Z" is...
  18. S

    Impact force calculation due to a rotating object in Overspeed Trip Valve Design

    Bolt comes out by distance d=1.58 mm when speed of rotation of shaft reaches its trip value (w_trip). m is mass of trip weight (Bolt assembly) One of the approach which I had considered is work energy theorem. Initial energy = 0.5m*(w_trip*(r+d))^2 Final Energy= 0.5m*(w_trip*r)^2 (Assuming bolt...
  19. J

    How Do You Calculate Torque for a Pusher Arm with a Dead Plate Friction?

    Hello All, I am designing a pusher arm for a project (Please refer attached picture), I need to calculate required torque to select a rotary cylinder. The arm is mounted on a rotary cylinder and it has a dead plate underneath. I understand we can calculate torque= Mass moment of Inertia x...
  20. Ramil

    Quantum Monte-Carlo calculation of Green's function

    Introducing the spacetime spherical symmetric lattice, I use the following notifications in my program. i - index enumerating the nodes along t-coordinate, j - along the r-coordinate, k - along the theta-coordinate, l - along the phi-coordinate. N_t - the number of nodes along t-coordinate. N_r...
  21. C

    Projectile Motion Distance Calculation

    This based on velocity being constant. Define x0 and y0 to be zero and solve for the desired quantities.
  22. P

    New Parallel Resistor Calculation Method

    In teaching HS Physics part of which is Electric Circuits, I have discovered a rule / technique for parallel resistors that I never encountered in all my 30+ years in electronics engineering, nor in any textbook on Circuits. It is what I call " The N + 1 Rule " We all know the Reciprocal...
  23. vsarnaud

    4 Linkage system: velocity calculation

    For the attempt at a solution view the Excel screenshots (1). A screenshot with all the lengths is provided (2). The 4-linkage system is shown in screenshot (3). The problem is shown in screenshot (4). A screenshot from the whole assembly is also provided to add some insights (5). Thanks...
  24. M

    Integral calculation using areas

    Evaluate the integral using the properties of definite integral and interpreting integrals as areas. ##\int_{-1}^2 (1-2x)dx## I need to see there are two areas and these are the same but one is under x-axis the other is above x-axis so the value of the integral is zero. To see this is...
  25. M

    Stepper torque calculation to drive a solid cylinder

    Hi All, I'm working on some design and apparently my physics expertise are getting rusty,i'd appreciate some help with the following:- I need to calculate the required torque for a stepper motor to rotate a solid cylinder with the following properties:- radius : 20cm height: 12cm density : the...
  26. M

    Calculation of the distance between planets on a given date

    I'm working on a novel and the action has moved off Earth and into the asteroid belt. I've been using a few websites and apps - notably AstroGrav, Stellarium, and Atlas InfoGraphics - to figure out where objects are in the solar system at the future date of the novel. But I can't find a way to...
  27. I

    I Exploring Planar Rotation Commutativity via Direct Calculation

    Commutativity for planar rotations follows from a direct calculation. What does 'direct calculation' mean?
  28. Shivang kohlii

    Shm , calculation of amplitude of spring mass system

    Homework Statement In A spring mass system , the spring stretches 2 cm from its 's frelength when a force of 10 N is applied . This spring is stretched 10 cm from it's free length , when a body of mass m = 2 kg is attached to it and released from rest at time t = 0 . Find the A) force constant...
  29. X

    B How can I accurately calculate pi using polygons and the concept of infinity?

    Since the ratio of perimeter and diagonal in a polygon( with a side number can be divided whole by 2) is a×sin(180° /a),and a is the side number of the polygon. And if we want the number of sides are always a double number we can say that there are 2a sides, and the equation can be...
  30. A

    I Solve Buchert Equations for Dust Flow Averaging

    Just trying to solve the buchert equations in this paper https://arxiv.org/abs/1112.5335 (eq 2.7,2.8 and 2.9) from eq.(2.3,2.4,2.5) First the average is taken on the hypersurfaces orthogonal to the geodesic of the dust flow(along proper time ##\tau##). Taking the average of the first term of eq...
  31. A

    MHB Calc Male & Female Cattle Pop Growth Rates: 30 Heifers, 100% Fert/Surv

    I want to estimate the number of male and female cattle produced over a period of time (say, five years and ten years) from an initial stock of 30 heifers, all 18 months of age at which age they are first joined (mated). Assume that the first calf is born when the mother is 27 months old...
  32. D

    Force and Torque Calculation and Observation

    Something does not make sense. I have built a large bookcase on rolling wheels (on a concrete floor). I have connected it to wire rope and pulleys as shown in "Pulley Question.jpg". I always keep a 10 lb weight on each side so the lines do not go slack and fall off the pulleys. I need to add...
  33. S

    Gas Solubility in water - constants, and calculations

    I can measure O2, Co2, TGP, and temperature, Want to calculate the rest gases, so N2, and Ar in my water. There for i bulit up an axcel table. So i get to the point to calculate Bunsen contans on different Temperature. I have this calculation: ln(β)=exp(A1 + A2*(T/100) + A3*ln(T/100) +...
  34. J

    Calculation of resulting force from out of axis Torque

    Homework Statement [/B] Hello, I would like to request some help in solving this mechanics problem. Consider the attached drawing of a solid structure which is pinned to the ground on points A and B. Distances AC=Xa, CB=Xb, CD=H1 and DE=H2 A torque with magnitude M is applied on point E. How do...
  35. P

    MHB Mortgage Calc: Calculate Payment, Owed & Interest Breakdown

    Hi I need help with this review question for a class I missed. A home you want to purchase is priced at $1,000,000. You have $60,000 available for a cash down payment. You borrow the remainder through a mortgage with a closed 5-year term and 25-year amortization at an interest rate of 2.75%...
  36. A

    B Is the Space with Ricci Scalar Zero Flat?

    Given metric ds2=dr2-r2dθ2 Gamma comes as Γ122=r,Γ212=Γ221=1/r The Reimann tensor comes as R11=R2121=∂1Γ212-Γm12Γ21m=0,only non zero terms . Similary R22=R1212=∂1Γ122-Γm21Γ1m2=0,only non zero terms. Therefore R(ricci scaler)=0 Is the space flat??
  37. M

    Rate constant calculation Using the Arrhenius equation

    Homework Statement A reaction has a rate constant of 0.0117/s at 400.0 K and 0.689/s at 450.0 K. What is the value of the rate constant (to 1 decimal place) at 538 K? Homework Equations ln k= ln A-E[a]/RT The Attempt at a Solution I'm not sure how to approach this problem, although I know...
  38. A

    B Calculating the Uniform B Field in an AC Helmholtz Coil: What's the Formula?

    What would be the formula to calculate the right spacing distance between the coils in order to get a uniform homogeneous B field in the middle of the coils and how to determine the B field strength? I can only find bits and pieces on google about these sort of formulas but their intended for...
  39. J

    Energy calculation by using Parseval's theorm

    Homework Statement In Parseval's theorm, energy equals integral x(t) squre when x(t) represents voltage. I wonder if x(t) represernts power, then does integral x(t) dt equal energy?? Because 'power multiplied time' means energy. Homework Equations The Attempt at a Solution
  40. M

    Force Calculation for bending of TOR steel bars

    Hello everyone, I need some help to calculate the force required to bend a tor steel bar of dia 20mm and 12 m long from the centre. I want to bend it like a hair pin and need to know how much force is exactly required to do so. Any help or resource would be great. Regards, Mradul
  41. T

    Question about Velocity calculation

    Hello there! I'm a newcomer and just started doing Physics as there is one part of my current project requires it to do so. Recently, while reading up a game's source code, I came across something that I couldn't figure out. Below is the portion of the code that handles the velocity...
  42. T

    Calculation of Light Intensity

    Hi all, I would like to calculate light intensity of a bulb from 0.5 meter. Which formula shoul i use? I have a PV. Dimensions are 12x12 cm. Bulb is 100 Watt. Thanks
  43. B

    MHB Angle calculation in a sloping vector system

    I seem to have come across a new problem I am trying to programm a sloping pipe system to match an array of vector points. I thought I had it all sorted out until I tested with a very high slope angle. With a normal slope of around 2% everything looks fine. If I increase the slope to 30% there...
  44. hoalacanhdk

    I How Can I Make the First Term Vanish in Plasmon Calculations?

    I'm learning Plasmons in Hartmut Haug, Stephan W. Koch - Quantum theory of the optical and electronic properties of semiconductors, but I don't know how to make the first term vanished (the highlighted sentence). Can you give me a guide?
  45. zehkari

    Error Calculation for a Diffraction Grating's Performance

    Homework Statement I need to calculate the error of an average value (N for diffraction grating). My results were 4 different average angles. With which I calculated their uncertainty using std. Using equation (1), I found the number of lines per meter (N) with a known wavelength (λ) and the...
  46. R

    Calculate Torque for Turning Cylinder 90° Clockwise/Counterclockwise

    << Mentor Note -- thread moved to the schoolwork forums after we found out this is really a homework assignment >> Hi, I've got a cylinder which needs to turn 90 deg. clockwise and 90 deg. counterclockwise (seen below from the front and above). How do I calculate the necessary torque on the...
  47. Celso

    Induced EMF — generator coil area calculation

    Homework Statement What is the necessary area for a generator that produces an emf of ##\mathcal{E} = 150V## when it spins at a ratio of 60 revolutions per second, in a magnetic field of ##B = 0.5 T##? Homework Equations ##\oint_{c} E \cdot dl = \mathcal{E} = -\frac{d}{dt}\iint_{s} B \cdot dS...
  48. PainterGuy

    Exploring Entropy: Understanding its Intuitive Meaning and Calculation

    Hi, Could you please help me to clarify a few points to understand entropy intuitively? Entropy is defined as: Please have a look at the attachment, "entropy111". Source of attachment: http://faculty.chem.queensu.ca/people/faculty/mombourquette/chem221/4_secondthirdlaws/SecondLaw.asp The...
  49. S

    Molality calculation.... Is it correct?

    Homework Statement Commercial grade HCl solutions are typically 39.0% (by mass) HCl in water. Determine the molality of this HCl solution, if it has a density of 1.20 g/mL. Homework Equations molality = moles solute / kg solvent The Attempt at a Solution 39.0g HCl (1mol/36.46g/mol) =...
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