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. T

    Nuclear fission calculation of energy released

    Summary:: Calculate the amount of energy in joules generated from 2 kg of uranium fuel if the uranium 235 represents 0.7% of the metal and every fission releases 200 MeV. Hi! I am stuck in this question from my exercise book : Q. Calculate the amount of energy in joules generated from 2 kg...
  2. P

    Calculation of time taken for a motor to rotate an object 360 degrees

    How would I go about calculating the time taken for the motor on page 2 to move the attached beam 360 degrees? Things such as the rpm and voltage are given in the attached data sheet for various different motors and you can reference anyone you like. I'm more interested in understanding what's...
  3. PhysicsTest

    Power Calculation of general electric circuit

    I am trying to calculate the power calculation of a general circuit with voltage leading the current by a phase difference of ##\theta##. The instantaneous voltage is given by ##v = V_m\sin(\omega t +\theta) ; i = I_m\sin(\omega t) ##. The instantaneous power is then ##p = V_m I_m \sin(\omega t...
  4. SwatiAnshu

    Calculation of Eddy Current Brake Force with a twist

    All the equations I have seen have a component that is unknown. Also, if possible do let me know if there is a software I can use to model or analyze data related to eddy currents
  5. A

    Problem with a directional derivative calculation

    Good day I have a problem regarding the directional derivative (look at the example below) in this example, we try to find the directional derivatives according to the two approaches ( the definition with the limit and the dot product of the vector gradient and the vector direction) in this...
  6. A

    Problem with a directional derivative calculation

    this is the function and this is the solution in which the definition has been used my question is Why we can not use the traditional approach? I mean calculation the partial derivative which equals 0 in our case? And doing the dot product with the vector v (after normalizing it) many...
  7. B

    Chiller power consumption calculation

    Hello, If I am trying to calculate the heat removed from a chiller system through this formula on engineering toolbox.com: Does COP or efficiency of the equipment come into play with this calculation? For example if a chiller is fully loaded isn't it running more efficient for a watt/ton...
  8. PeterDonis

    A A Proposed Black Hole Entropy Calculation

    The following paper appeared earlier this year on arxiv, entitled "Islands in Schwarzschild Black Holes": https://arxiv.org/pdf/2004.05863.pdf First, a bit of background: this paper appears to be part of a larger research effort aimed at resolving the black hole information paradox by showing...
  9. mktsgm

    Medical How is blood volume calculated and measured in the human body?

    We know that we humans have roughly 5 liters of blood circulating in our body. The volume also may be varying. We also know that its volume is tightly regulated and multiple organs are involved in it. My question is, how we calculated that we have 5 liters of blood? Is it an approximation or...
  10. K

    Selection of a compression spring

    Summary:: What does I need to consider in order to get the right spring? Hello. I need a compression spring that require 10 lbs of force in order to be compressed 1cm. The springs outer diameter (De) has to be 1cm. The spring will be made out of piano wire. Which values of specification does...
  11. M

    The Impact of R5 on Req Calculation

    So what I know is that without the edition of the R5 resistor R2 and R3 are 0 because the capacitor is short circuiting them. Why does the addition of the R5 resistor cause R2 and R3 to be calculated into the Req for the current equation?
  12. alex23

    Did You Make a Calculation Error in Feynman's Propagator Derivation?

    The first thing I have to consider is that, since ##\Delta t \rightarrow 0##, the potential ##U## is not going to contribute and we can consider it to be ##0##. Next thing I did was calculate ##\left<xt|x_1t_1\right>## directly with the definition considering what I said before, and I got...
  13. V

    I Infinite series calculation of a potential

    I'm trying to get from the formula in the top to the formula in the bottom (See image: Series). My approach was to complexify the sine term and then use the fact that (see image: Series 1) for the infinite sum of 1/ne^-n. Then use the identity (see image: Series 2). Any other ideas?
  14. AHSAN MUJTABA

    Electrostatics potential calculation for a uniformly charged square

    I took a surface element dA at the surface of square at point x',y' now I took a point on x-axis and calculated the flux. But I got a very complicated integral though it should be simple and I can't interpret it
  15. AHSAN MUJTABA

    Electrodynamics flux calculation question

    I don't really know how to find it mathematically as I am really confused in finding the normal vector and finding the electric field as well. pls help
  16. I

    Bouncing calculation of this balance equation with the Iteration Method

    I need to solve the following equation for [OH-]: Kw/[OH-] + (10^-5)Kb/(Kb+[OH-]) = [OH-] by using the iteration method. I guess that [OH-] = 10^-7 M. I plug this into the left hand side of the equation and find [OH-] = 1.39*(10^-7) M. I plug this value back into the left hand side, and get...
  17. TheShadowDragon

    Calculation of a Propagator for a Spin 1/2 system

    Well, this calculation is straightforward in the Heisenberg picture. After finding the eigen values and eigen vectors of the total Hamiltonian, I found the explicit form for the exponential of the integral of the matrix and then did the matrix multiplication and calculated its expectation value...
  18. C

    B What is the relative speed of two groups of quasars with different redshifts?

    If many quasars are at redshift 10, and another group is at redshift 6, what is the speed of the second group relative to the first? The redshift 10 group can be considered "at rest", so the redshift 6 group is heading in our direction at what rate? For this scenario, let us assume all the...
  19. D

    Atwood machine calculation for launching a pebble

    Assume m2>m1 and take positive direction as downwards. String is inextensible so acceleration of block up = acceleration of block +pebble down =a I used the following 2 equations to obtain a ; -m1a = m1g - T , (m2+m)a = (m+m2)g - T which gives a = g(m+m2-m1)/(m+m1+m2) I then...
  20. M

    Engineering DC Shunt Motor: calculation of the efficiency

    Hi, My main question is: should we be subtracting the rotational power losses from the motor output power in our efficiency calculation? My approach: Will skip extra work as I have done the above parts of the question correctly. I used power conservation to state that: $$ P_{input} = P_{motor}...
  21. Maverickans

    Impedance calculation from base values

    Hello, I'm reading a paper at the moment and I came across this: We now apply the solution technique to a single-phase, 3 kW, 240 V ASD heat pump. The ASD has smoothing capacitor C = 4200 pF, (corresponding to approximately 6% ripple in dc voltage), and total impedance (sum of Thevenin and...
  22. E

    Required time and distance calculation of a shock wave

    I draw this picture in order to solve this problem. My first attempt was find the hypotenuse of the triangle and divide it by the speed of sound wave. d=a/sin(θ) d=4483.43m t=d/c=13.07 sec However, I am not sure whether I did it correctly or not... It looks the time is too big as an answer... I...
  23. M

    Engineering Common Mode Rejection Ratio: Instrumentation Amplifier Calculation

    Hi, I have a question regarding a practical CMRR calculation. Main information: - Signal input: 10 mV rms - Interference input: 1.5 V rms - In an earlier part of the question, we found that for the second stage of the instrumentation amplifier (the summation amplifier) that: $$...
  24. Kashif

    MCNP5, dose calculation, subcritical system

    Greetings to all need forum members help regarding MCNP5 college assignment. The task is to calculate dose from a system comprising of a neutron source surrounded by natural uranium. the system is subcritical. The problem is how to calculate dose due to fissions in the uranium because dose from...
  25. R

    How Many 1 Steel Tubing Pieces to Support 500lb on 40 Cantilever?

    Hi, I am trying to figure out how many 1" steel square tubing pieces it would take to support a 500lb weight extended out 40" on a cantilever. I have seen Modulus of Elasticity figures ranging from .029 GPa to 200 Gpa for Steel. The steel I plan to use would be common hot rolled square tubing...
  26. T

    NTC thermistor heat dissapation calculation with graphs

    I couldn't solve this problem. Any tips or help would be appreciated. If I am violating against any rules please comment, as this is my second post :-).
  27. Jy158654

    Calculation of Change in Magnetic Flux Linkage of a moving wire

    Can anyone explain the above answer to me? What does the "change in area" mean?
  28. A

    Flow rate of a pipe - calculation

    So, I actually do not know, if the formula given applies to this problem or not, so I wanted to check
  29. A

    Calculation with this electric circuit (battery and resistors)

    Hey, I am struggling a bit, als I try to solve this problem - I‘d say all five statements are correct, but it is said, that one must be incorrect
  30. A

    I Help Solve Twin Paradox Calc: A & B 1 Lyr Apart

    A and B 1 lyr apart and sync watches, C moving at .5 C, when at B, C sync watch with B, what time does A and C's watch show when meet. (I was told answer already here but could not find).
  31. R

    Angular acceleration calculation

    Torque=225 Ncm Torque=α*0.35 kg.cm² α=225Ncm/0.35kg.cm² =225 kg.m/s²*cm/0.35kg.cm² =225*100/.35s² =64285.7/s² but the answer is wrong
  32. K

    MHB What Is a Common Denominator for These Fractions?

    Please help me solve this calculation
  33. A

    Did I Calculate the Speed of a Comet Correctly?

    Hi all, I just want someone to double-check my calculation. Using some typical values of a comet, if the comet has a speed of 300 km/sec when it is 100 million kilometers from the sun, how fast is the comet moving when it hits the radius of Jupiter from the sun (5 Au)? I think I did everything...
  34. Osvaldo

    Journal Bearings Clearance Calculation

    Would need to know radial clearance, recommended viscosity of oil and babbit alloy of the journal bearings of a gear reducer of following dimensions and specifications: 1400 HP 22300 RPM input 6400 RPM output Journal diameter of input bearings 2 in, length 3 in, 2 bearings Journal diameter of...
  35. draikens

    Chemistry Molar Mass Calc: My Solution | PDF File

    pdf file is my solooution l think its wrong
  36. mahonskey

    I Hypothetical Eclipse Calculation

    Hypothetical: Approximately how far from Earth would a star the size of the sun have to be for an object the size of a quantum particle to cause a total eclipse of that star when orbiting the Earth at a distance equal to that of Earth to the center fro the moon?
  37. D

    DV Calculation clarification (rocket booster)

    When calculating the dV available from a rocket booster, the below calculation is used: (ISP . g) . ln(Mass when full/Mass when empty) Is 'g' always equal to 9.81 in this equation, or do you use the actual gravitational acceleration that the booster will experience, at it's given altitude, to...
  38. D

    Triangle calculation for the resultant velocity

    Top example- How do I get to 31.7 m/s from 30.8 and 7.7? This is way over my head and need help. Thanks in advance Dean
  39. J

    How Do Kirchhoff's Laws Help Calculate I1, I2, and I3 in a Circuit?

    According to the circuit in the figure; Can you calculate the values of the currents I1, I2, and I3. Can you send me a detailed solution to understand?
  40. S

    Pressure/force calculation for combustion in a cylinder

    Hi. How do i calculate the dynamic combustion pressure, force and piston velocity for different fuels in a cylinder? Assuming perfect combustion and no thermal loss trough the walls and piston. I am thinking about an application similar to for example a fuel driven nail gun that runs on a...
  41. T

    Laten heat of fusion calculation

    Q1 = m(ice) * Cv * ∆T = amount of heat the ice absorbs Q2 = m(H2O) * Lf = amount of heat the water loses Q1 = (4*8 g) * (2198 J/g*K) * (0-(-15)) = 1.055 * 10^6 J Q1=Q2 Q2 = 1.055 * 10^6 J = m(H2O) * Lf Lf = 1.055 * 10^6 J / m(H2O) = 1.055 * 10^6 J / (0.25 L * 1000 g/1L) = 4220 J/g My answer is...
  42. I

    A Least-squares calculation with a pinch of weights and monte-carlo

    Hello all, I am a bit lost with a problem and my reasoning and would like to hear your thoughts about it. Problem is the following : For a set of data yi, I need to find the best value for Am given : "i" is an indice {1, 2, 3, ... up to something like 20}. "m" stands for "mass" (Am is a...
  43. P J Strydom

    B Length contraction and Time dilation calculation

    I was absent for a while due to personal constraints but I did keep myself busy with the Time dilation equation some member sent me a while back. I decided to set a time limit for myself to learn and understand time Dilation and length contraction, which must be before December 2020, or I will...
  44. B

    B Dice calculation of p(7), two different values?

    Scenario 1] The dice are rolled out of your sight and you are then asked the p(7), before you are allowed to look at the results. Calculate p(7) by looking at table of 36 possibilities and counting the number of sum cells totals that equal 7, there are six of them, so p(7) = 6/36 = 1/6...
  45. G

    How do you properly add logarithms with negative characteristics by hand?

    From the log tables: ##log(890) = 2.9494, \space log(12.34)=1.0913, \space log(0.0637)=\bar{2}.8041## I calculate by hand: ##\begin{array}{r} &2.9494\\ +&1.0913\\&\bar{2}.8041\\\hline &2.8448 \end{array}## Thus: ##log^{-1}(2.8448) \approx 699.6 \space## Which is the correct answer. Now I...
  46. J

    Calculation of the forces and the work of these forces

    Like AT asked I post a new thread because it is a different example, here there is no friction and I use a needle and an elastic to have the forces. The circle moves in horizontal translation, the circle doesn't rotate around itself, the red wall rotates around A0, and A0 is fixed to the...
  47. E

    Need help with a parallel inductance calculation for this transformer

    I have a transformer with the primary winding connected to a 115 volts 60Hz supply, the current is 0.230 amps AC, with a resistance of 25.3 ohms. The secondary winding is connected to an inductive load. The voltage across the secondary winding when the load is connected is 13.14 voltage AC with...
  48. P

    Electric Field of a Point Charge and Thin Ring: A Comparative Analysis

    I thought it was easy but i am not getting the correct answer The electric field due the point charge q is ## E1 = q/(4\pi\epsilon x^2) ## The electric field due to the thin ring of radius R is considering the electric field due to the element charge dq (dS) ## dE2 = dq/4\pi\epsilon (x^2 + R^2)...
  49. P

    Calculation of the amount of work done using potentials

    This is the diagram in mind Some of my assumptions like the particle q will be moving with some initial velocity V1 in the circle of radius of r1 and when it moves to the circle of radius r2 its velocity will be V2 ( > V1) since its potential energy is decreased. The amount of work done by...
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