What is Calculation: Definition and 1000 Discussions

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. 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...
  2. 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...
  3. I

    I Exploring Planar Rotation Commutativity via Direct Calculation

    Commutativity for planar rotations follows from a direct calculation. What does 'direct calculation' mean?
  4. 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...
  5. 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...
  6. 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...
  7. 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...
  8. 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...
  9. 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) +...
  10. 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...
  11. 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%...
  12. 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??
  13. 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...
  14. 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...
  15. 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
  16. 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
  17. 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...
  18. 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
  19. 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...
  20. 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?
  21. 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...
  22. 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...
  23. 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...
  24. 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...
  25. 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) =...
  26. I

    I Fourier's Trick and calculation of Cn

    I understand that the solutions to the time-independent Schrodinger equation are complete, so a linear combination of the wavefunctions can describe any function (i.e. ##f(x) = \sum_{n = 1}^{\infty}c_n\psi_n(x) = \sqrt{\frac{2}{a}} \sum_{n=1}^{\infty} c_n\sin\left(\frac{n\pi}{a}x\right)## for...
  27. P

    MHB Calculation of probability with arithmetic mean of the sum of random variables

    Calculation of probability with arithmetic mean of random variables There are 4 people, each of whom has one deck of cards with 500 cards that are numbered from 1 to 500 with no duplicates. Each person draws a card from his deck and I would like to calculate the probability of the event that...
  28. M

    Pressure calculation, what am I doing wrong ?

    I have a 110 PSI pneumatic line. I have a 700 lbs linear force output. I have 1.230" outside diameter spring using 0.250" wire. My 110 PSI pneumatic line with cylinder is able to compress my 1.230" OD spring with 0.250" wire to 700 lbs linear force. My calculations reflect I should require...
  29. Arslan Siddique

    Calculation of Velocity and Shear rate in rectangular channel

    Hi everyone, I would like to know the formula for calculation of velocity and shear rate in my rectangular fluid channel. Here are the important values regarding my rectangular channel. W= 2.5 mm, H=3 mm, L=35 mm. Fluid: Diluted Bacterial suspension derived from wastewater. Flow rate: 0.125...
  30. V

    Calculation of pressure variation due to fluid discharge

    Dear all, I have a headache and I need you help, with the following problem. I need to create excel sheet for the calculation (estimate) of the size of the orifice on the orifice plate that will produce a pressure reduction rate in pipeline at 0,5 bar per minute. It is not important to...
  31. V

    A Calculation of the "lightness number" for solar sails

    Hello, In the wikipedia article about solar sails the lightness number is mentioned and the calculation is the characteristic acceleration ac divided by the Sun´s local gravity (distance: 1AU): λ = ac / 5.93 why do they use 5,93 m/s^2 for the sun´s gravity and not 274 m/s^2?
  32. nmsurobert

    Rayleigh Scattering calculation

    I've been trying to find a proof or a paper that goes into calculating why the sky is blue as opposed to the "the sky is blue because of scattering" explanation that all over the internet. I (think) understand the concept but I would like to see some numbers. I'm aware of the I = 1/lambda^4...
  33. H

    Is this calculation for radiation pressure correct?

    I was thinking about how much propulsion you could get out of a solar sail, so I just did a rough calculation: A solar sail 100m*100m in size (10'000m²), with 20grams of weight per m², an additional 100kg for probe and other stuff, so 300kg probe weight. Using the solar constant of 1400W/m²...
  34. Casper Hansen

    Thevenin equivalent (symbolic circuit calculation)

    Homework Statement I have trouble to find the right procedure to transform the circuit below to a thevenin equivalent. I am looking for a symbolic solution a step by step guidance of where to start and how to add/locate all the impedance in series and parallel in order to calculate the sum of Z...
  35. X

    Planetary gearbox speed calculation - Simultaneous equations

    I'm looking to calculate the ratio of a planetary gear train. With the ultimate goal of producing a spreadsheet/calculator to show the state of the gearbox (i.e. all shaft speeds) based on applied constraints. A gear set consists of Ring Gear, Planet Gear, Sun Gear. The sick diagram is the...
  36. K

    PressureDrop/Pressure/Volumetric flow rate calculation (in a Pipe)

    Hello, If I have the following known variables: - P1, Pressure of fluid entering the pipe = 50 psi - L, Length of pipe = 10 in - D, Diameter of pipe = 0.5 in I want to learn how to calculate: - P2, Pressure of fluid at the end of pipe. - Q1, Volumetric flow rate of fluid entering pipe. - Q2...
  37. A

    How Do You Calculate the Counterweight Needed to Balance an L-Shaped Bar?

    I hope this will be an easy one to answer that I could just use a little help with. I have an L shaped bar where 'X' is on a flat surface. The pivot point is the circle. Can someone help me with a formula to calculate the force needed at point 'b' , given a certain force applied at point 'a'...
  38. R

    I 3D coordinates vector calculation

    How do I calculate the resultant of three component vectors set mutually at 60 degrees to each other (not in the same plane)?
  39. M

    Angular speed calculation after an inelastic collision

    Homework Statement A disk [m=0.1 Kg; R=0.1 m] rotates about its center of mass [w=40 rad/s], on a smooth floor. A bar [m=0.1 Kg; lenght=R=0.1 m] moves on the floor with a speed Vb=4 m/s. At one point, the bar hits disk's edge in an inelastic collision, and they start rotating together. A)[Fixed...
  40. qnach

    Nanoantenna calculation using CST

    I want to do nanoantenna calculation using CST. However, there are many project template One for optical filter and resonator The other for Antenna-dielectric resonator I do not know which one should I choose? Could anyone advice me? Thanks.
  41. I

    What is the force generated by a lever in a closed position?

    So.. I'm trying to figure out if a design Idea has any potential. The figure below shows a lever mechanism operated by a rack and pinion gear assembly. I've calculated the torque in the pinion to be 252 Nm. What will be the force at the contact pad, generated by the lever when in the closed...
  42. L

    A Momentum calculation of a rotating rod

    ##\ \ \ \ \ ##Calculate the 4 momentum of a rotating rod. We divide it into 4 parts. The part 1 is the work of predecessors. ##\ \ \ \ \ ##In Special relativity, the motion of rod AB (which is an object in non inertial motion) can be described in an inertial reference frame and the motion of rod...
  43. R

    Error bar calculation (statistics)

    Homework Statement For a project, I am trying to estimate the absorption curve of a certain plant species. Due to the variability within the species, I have taken the average of several measurements. In the figure below, the blue curves represent 3 separate measurements, and the red curve is...
  44. navneet9431

    Calculation of work done by a variable force

    Homework Statement See the explanation of work done by variable forces given in my textbook. For calculation of work done by variable forces the author analyses only a small fraction of displacement "ds". And then he makes **assumption** that the force is acting on the particle at an angle...
  45. barryj

    Calculation about virtual image

    Homework Statement See my attached information Homework Equations On my attached solution The Attempt at a Solution see my attached sheet Please see my attached write up. I would appreciate a quick nudge as stated.
  46. L

    Range calculation for Airbus A320 aircraft

    Homework Statement Hi to all, the Task I struggle with, is the range calculation from an Airbus A320 with the Breguet Range Equation which is defined as: Homework Equations R = (cl/cd) * (V/(g*SFC)) * ln(w0/w1) with V = velocity g = gravity SFC = specific fuel consumption w0 =...
  47. I

    Force Calculation -- Hydraulic cylinder and a rotating arm

    Hi There, Long time reader, first time poster.. I hope someone out there can help me. I'm designing an add-on to an existing piece of equipment and I'm unsure of how to calculate the resultant force output from a hydraulic cylinder. On a straight push, the chosen hydraulic cylinder has an...
  48. Jan Berkhout

    How do I do this trigonometry vector calculation?

    Homework Statement A pilot wishes to fly at maximum speed due north. The plane can fly at 100km/h in still air. A 30km/h wind blows from the south-east. Calculate: a) The direction the plane must head to fly north. b) Its speed relative to the ground. Homework Equations Sine Rule...
  49. U

    Calculation of Change in Magnetic Flux Linkage Across a Wire

    Homework Statement A straight wire of length 0.20m moves at a steady speed of 3.0m/s at right angles to a magnetic filed of flux density 0.10T. Use Faraday's law to determine the e.m.f. induced across the ends of a wire. Homework Equations E= Nd Φ/dt but N=1 so E= dΦ/dt The Attempt at a...
  50. R

    Calculation of absorption spectra

    I am trying to plot the absorption curve of a given sample using some spectrophotometric data. The data that I've collected are transmittance ##T## and reflectance ##R## – the ratios of transmitted and reflected light power to incident light power. However, using two different methods I got two...
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