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. W

    Calculating Mean Curvature of a Scalar Field | Homework Solution

    Homework Statement Consider the scalar field φ=x2+y2-z2-1. Let H be the scalar field defined by H = -0.5∇.(∇φ/ abs(∇φ)), where abs(∇φ) is the magnitude of ∇φ. Which makes that some sort of unit quantity. When H is evaluated for φ=0 it is the mean curvature of the level surface φ=0. Calculate...
  2. B

    Calculation of Counterbalance Mass

    Hi, I've been grappling with a calculation that appears to give me a good result, however my gut feeling says other wise. Could someone please check the layout and possibly confirm my final answer. Attached is the layout of the system. The system: -There is a long arm, d1+d2 is one link. then...
  3. A

    Calculation to find the torque required to start an engine

    I need to design starter motor based on the the torque required to rotate the flywheel and reciprocating mass in the engine.How to do the calculation .I have already done a part,i feel something more to consider
  4. gracy

    Is the Calculation of Lattice Energy Correct at Time 2:40 in This Video?

    In the following video,is he right at time at time 2:40 I don't think so .Because lattice energy of fe2o3 should be 36 times greater than Nacl (without considering radius factor)
  5. S

    Steam consumption calculation on a steam exchanger

    We are having a steam heat exchanger. Its made up of finned tubes. Tube id 22.7mm Tube od 26.7 mm Tube length 1310.0mm Tube material ss304 Fin od 66.0 mm Fin thk 1.5mm No of fins on one tube 260 Fin material ss304 Total no of tubes 10 Supplied steam pressure 3.5 kg/sqcm A inverted bucket...
  6. Safinaz

    Calculation of B to l nu decay width

    Hi, 1. Homework Statement In the calculation of the matrix element amplitude of ## B \to l \nu ##, I got a factor ## \bar{l} (1-\gamma_5)\nu ## as in [hep-ph/0306037v2]. For ##|M|^2## I made : ##| \bar{l} (1-\gamma_5)\nu|^2 = (/\!\!\! p_l+m_l) (1-\gamma_5) /\!\!\! p_\nu(1+\gamma_5) =...
  7. K

    Fuel evaporation in a tank - Pressure calculation

    Hello everybody, I have the following problem: I have a fuel tank, with a liquid phase (the fuel) and gas phase at To and P0, where T is temperature and P pressure. I assume that the gas phase at the instant t=t0 is air. (Is this assumption correct?) The temperature of the liquid phase...
  8. A

    Calculating Worm Gear & Stepper Motor for Single Axis Solar Tracker

    Dear all, I am trying to build single axis solar tracker using worm gear, I need guide line for calculation of worm gear & stepper motor .he are some relation i taken, But i wanted whether its correct & need to explain with example efficiency= (output Power of Worm gear/ Input Power of...
  9. J

    How to Calculate Force and Center of Pressure on a Submerged Plate?

    1. The problem statement: A removable plate is mounted in the end of a swimming pool. The plate is 60cm square with the top edge 30cm below surface of water. Compute the force on plate and distance to centre of pressure below surface of water. 2. Homework Equations . 3. The attempt at...
  10. IamDev

    Help with torque calculation of underwater rotating disk?

    Hello Guys, I have a disk of diameter of 150mm and thickness of 10mm which is rotating at the constant speed of 100rpm. The disk is inside water which is approximately 4-5 cm below the surface. Disk is horizontal (parallel to the water surface). Disk is attached with the shaft of the motor. At...
  11. B

    Quick stress calculation with one force on an I-Beam

    Homework Statement Determine the state of stress at point A on the cross section of the beam at section a−a. TakeP = 33kN . Homework Equations σ = My/I The Attempt at a Solution Moment = Fd = 33000N(500mm) = 165000000 Y = 90.71 (100-9.29, 9.29 being the Ybar of the little piece) I =...
  12. E

    How Do You Calculate Torque for a Rotating Shaft with Bearings?

    Hello Guys, I have a 90mm=3.543" shaft going through 2 bearings that are the same shaft weighs 10lbs bearings weigh 25lbs each hub of bearing weigh 5lbs, bearing coefficient of friction is 0.15 bearing OD: 190mm ID: 90mm ok so I thought Torque to rotate shaft is = Moment of Inertia x angular...
  13. C

    Enthelpy of reaction calculation?

    Limestone stalactites and stalagmites are formed in caves by the following reaction: Ca2+(aq) + 2HCO3-(aq) --> CaCO3(s) + CO2(g) + H2O(l) . If one mol of CaCO3 forms at 298 K under 1 atm pressure, the reaction performs 2.48 kJ of P - V work, pushing back the atmosphere as the gaseous CO2 forms...
  14. X

    Error in angular magnification calculation

    Homework Statement The wing of an insect is 1.7 mm long. When viewed through a microscope, the image is 1.4 m long and is located 5.9 m away. Determine the angular magnification. Homework Equations di/do=hi/ho M=beta/alpha alpha=object size/object distance beta=image size/image distance The...
  15. L

    Calculation of movement caused by a change in pressure

    Homework Statement Imagine you have an unflatable closed cube (z x z x z) which is connected to a chamber with a constant pressure of 6 bar (so the pressure in the box is also 6 bar). The box is hanging on a wire in a room in which the pressure is 1 bar. At t=0 a small part of the bottom of the...
  16. Alex734

    Calculation of the tangential forces in a turbine blade

    Dear All, I am trying to perform the static analysis of turbine blade in ANSYS. And i have a problem with finding the values of tangential force. How can i find it, if have following data: operating speed - 3000 RPM, stage power - 1413 kW, axial load 5544 N, number of blades - 45. Thanks a lot!
  17. V

    Calculation of total ionization cross section

    Hai all, I need some help in understanding the calculation of total ionization cross section. As per the literatures, for a gas capable of multiple ionization, the total cross section is a charge-weighted sum of partial ionization cross sections. To be more elaborate, consider the case of...
  18. Dustin11H3

    Angle/Coordinate Calculation for two "Pulley" System

    Hello everyone. This is my first post on here. I figured that I would give it a shot. Just as a quick background: I'm studying electrical engineering and I'm working an internship for a machine manufacturing company now. One of the projects I have been assigned is to come up with a system to...
  19. A

    Downforce Calculation for a wing Formula Source

    Hey guys, The following formula is provided on the wikipedia page for downforce, D=0.5(WS)*H*alpha*F*rho*V^2 Where: D is downforce in Newtons WS is wingspan in metres H is height in metres \alpha is angle of attack F is lift coefficient rho, ρ, is air density in kg/m³ V is velocity in m/s...
  20. PrincessIceFall

    Review centre of gravity calculation

    <<Mentor note: Thread merged with duplicate from other forum.>> Half an octagonal prism. A small weight is placed 2 cm from the centreline of the vessel. The rod on which the weight is on is placed at (L/2) i.e at the center of the length of the vessel. The height of center of gravity from the...
  21. evinda

    MHB How Does Precision Affect Error in Euler's Method Calculations?

    Hello! (Wave) We consider the initial value problem $$\left\{\begin{matrix} y'=y &, 0 \leq t \leq 1 \\ y(0)=1 & \end{matrix}\right.$$ We apply the Euler method with $h=\frac{1}{N}$ and huge number of steps $N$ in order to calculate the approximation $y^N$ of the value of the solution $y$ at...
  22. E

    Rack and Pinion Calculation help

    Just to be aware this isn't homework this is a design concept and although calculations aren't required I'd like to assess a rough assessment of possible power generation figures. The concept is a weight which pushes down upon the rack hence turning a pinion on a shaft which has lots of of...
  23. M

    Integral Calc: Find My Mistake - 4.75

    Hi, I believe I have a calculation mistake but I don't know where. The correct answer is: 4.75
  24. N

    Calculation of particles by integral

    Hi, I would like to calculate total number of particles in one periodic wave-section whose radius varies by h(z)=1+A*sin(2*pi*z/L), where A is the profile amplitude and L is the wavelength of one wave-section. I thought, I will do by volume integration, say integral over V (volume of one...
  25. H

    Calculating Heat Transmission: Tips and Formulas for Scientists

    Hello, I have a few questions for calculating heat tranmission between materials ( i need some formulas and tips). First of all i need to find out how much energy a water pipe transmit to the concrete where it is in. I couldn't find a formula for this one. Then the concrete should store some...
  26. D

    Human capacity for G-forces, Energy calculation, and thrust

    I hope this is the right place for this... Question #1. How much can the human body stand multiple rapid G-force changes. Like let's say I made a vehicle that you could make sure all your body parts were 100% secured and it could move freely in space in any direction what would be the result of...
  27. Femme_physics

    Calculating Projectile Motion for Cannon and Window Scenario

    Homework Statement A cannon has to fire a ball through a window in the wall. The window is 10 meters at the Y axis, and 8 meters (away from the cannon) at the X axis. The window is just slightly bigger than the ball (let's suppose that the dimensions are negligible). Find the required launching...
  28. T

    Improving Frequency Resolution with Window Functions in FFT Calculations

    Okay I have a question involving calculating the FFT of a signal from a sensor. I have simulated many different scenarios in MATLAB of various noise characteristics involving the signal. I want to take the FFT of a noisy signal. As long as my expected input signal has a higher amplitude than...
  29. F

    Angular velocity calculation from Schwarzschild metric

    Hello, I need to find the angular velocity using Schwarzschild metric. At first I wrote the metric in general form and omitted the co-latitude: ds2=T*dt2+R*dr2+Φ*dφ2 and wrote a Lagrangian over t variable: L = √(T+R*(dr/dt)2+Φ*(dφ/dt)2) now I can use the Euler–Lagrange equations for φ...
  30. M

    Calculation to launch a golf ball

    Hi, I need your help. Is my calculation correct? 1. Homework Statement We have to build a launcher that will be able to reach a target that is place anywhere in a prism 3m X 3m X 1m. The launcher have to used a golf ball and gravity as source of energy. I am trying to calculate what we need...
  31. R

    Calculation of Intensity of of AX crystals

    I'm still confuse on using the equation about atomic scattering factor, f = a*e^(-b+((sin(theta)/lamda)^2) + c (general equation), where sin(theta)/lamda = 1/2d = 1/(2*(sqrt(a^2/(h^2 + k^2 +l^2)))), so this term is dependent on the plane. which you will used to find the Intensity of crystals...
  32. B

    Calculate Water Loss in Broken Pipes: Formula/Equation

    Good day. Help me with a formula/equation to calculate water loss in broken pipes, e.g. a 63mm PVC pipe broken and spilling water.
  33. A

    Calculation of the force exerted by a liquid

    Question: The height of the given vessel is h,and the width of the given vessel is b (as given in the diagram). The density of the liquid is r.Find the force exerted by the liquid on the slant wall. Relevant formulae : P = F/A F = Vdg An attempt at the solution...
  34. shott92

    Need a calculation to find a relationship/correlation

    basically i have a system where force 1 + force 2 must equal force max they have the following ratio (these are the ultimate forces as in 100% of force 1 needs to be used or 100% of force 2) force1 = 1906.901 force2 = 1760.033 simple, but to really throw me off... force 1 has to be 29% of...
  35. T

    Torque Calculation for Sweeper machine Broom

    Can anybody tell me how to calculate torque for rotating sweeper machine broom? Broom Dia is - 0.6 m Length - 2 m Weight - 150 Kg Rotating RPM - 150
  36. S

    MHB Square Roots Calculation Tricks

    hi all... i have problem about square roots for fast calculation, like below sample : is there fast calculation method not commonly/usually ways. it's possible? please, see my picture? thanks in advance.. susanto
  37. A

    Bearing load calculation in Ansys workbench

    Hi dears I am doing a random vibration analysis on a reciprocating rotary system and I need to calculate the load that applied to the bearing during the analysis. the picture is attached to post. thanks
  38. S

    MHB Fast Calculation [sum] problem

    hello all... would you help me out, how to sum 3 questions problem.. please, see my picture attachment.. thanks for your helping... susanto3311
  39. N

    Quick calculation check please

    Could someone just check these calculation results for me please. I know this is really basic, and I'm assuming they aren't right but I couldn't see where they were wrong, so any help would be appreciated. (I know I've been given loads on this forum already, and I am grateful). v =...
  40. Laplas

    DOS calculation in a photonic crystal

    I have calculated the band structure of an infinite photonic crystal structure by COMSOL. So, I have an array of meanings of K-vector and different values of frequency V. I need to calculate density of states (DOS). How can I calculate it? Thanks.
  41. Aileen Gordola

    Error in Calculation of EDissolution?

    I calculated the Edissolution of a reaction and resulted in a negative number. However, during the wet lab the reaction was clearly endothermic since there was a drop in temperature. I used the equation: ∆Edissolution = Ccup∆Tcup/mass of salt What is the reason for the negative number? Would i...
  42. P

    Overall Power Factor of three motors for transformer voltage drop calculation

    Hi Suppose I have three motors connected to a single busbar which is fed by a single transformer and suppose that the current into the busbar (i.e. the total current of the transformer secondary) is known. If I wish to calculate the transformer voltage drop the I will obviously need the load...
  43. K

    Torque calculation on drive half shaft in coast downshift condition

    I want to calculate the torque coming onto a half shaft in a very particular event. The event is I let's say I am in 3rd gear and have reached my max torque zone after which I have taken my foot of the acc pedal...nw I m letting the the vehicle coast as soon as it reaches say 60% of max power...
  44. D

    Height and Weight: Impact on Cycling Speed Formulae

    Hi, I was reading about bicycles the other day and a question popped up in my head: Does the rider's weight and height affect the speed of the cycle? I have been researching extensively about it but I cannot find any formulae that can be used to measure the effectiveness of the height and...
  45. T

    Pressure and velocity calculation for microchannel. pls help

    Me and my friends have been trying (b) for soooo long! we have gone to PhD students and some fluid dynamic doctors for held and they cannot figure this out. 1. Homework Statement 2) This question concerns the design of a ‘micro-chemostat’ device. E. coli exhibiting chemotaxis can swim up to...
  46. E

    Variable mass calculation of thrust for a water rocket

    Homework Statement I am trying to derive the formula for time varying thrust given that I know the initial mass/volume of water in a water rocket. Knowns will include initial pressure, initial volume of water, and nozzle cross sectional area. Homework Equations Bernoullis equation: (p/ρg) +...
  47. A

    Gas Volume Calc: Find Out Rate of LPG Cylinder Reduction

    Hi can anyone please suggest me how to find out the rate at which gas in LPG cylinder reduce.Initially before use gas cylinder will be full as the consumer start using the gas it starts reducing how do i calculate how much is left out and the rate at which it is getting reduced ,And also if a...
  48. C

    Calculation of phase shift from reflectance data

    Hi, do you know how i can calculate the phase shift of measured reflectance data? I find the dispersion relation formula but I can´t solve it. I know that this dispersion formula is split in three terms. The first term has a range form 0 to w_min, the second term from w_min to w_max and the...
  49. Fantini

    MHB Calculation of the commutator of the hamiltonian and position

    The book calculates the commutator $[H,x_i]$ as $$[H,x_i] = \left[ \sum_j \frac{p_j^2}{2m}, x_i \right] = \frac{2}{2m} \sum_j p_j \frac{\hbar}{i} \delta_{ij} = - \frac{i \hbar p_i}{m},$$ where the hamiltonian operator $H$ is $$H = \sum_j \frac{{\mathbf p}_j^2}{2m_j} + V({\mathbf x}).$$ The book...
  50. B

    Questions about metal-semiconductor-metal calculation

    Dear all Pls contact me if you can provide some help for the calculation on the M-S-M model. Using equation: https://www.physicsforums.com/attachments/upload_2015-1-20_10-10-27-png.77997/ After plotting LnI vs.V, I use the slope to get Eo, where Eo is in the unit of mV. While if I continue...
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