# Calculations Definition and 20 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. ### Stress in a spinning flywheel

I'm wonder how one could calculate the total mega pascals total mega pascals that can be applied to a spinning flywheel before it exceeds its tensile strength example: a cast iron flywheel is spinning at 10,000rpm(Tangential velocity = 104.72) it has a radius of 100mm and a weight of 500g...
2. ### Engineering Induction motor calculation problems

Given the following input parameters: Parameter Value Rs (Resistance through stator) 1.4 Ω Rr (Resistance through stator) 0.7 Ω Ls (stator inductance) = Lr (rotor inductance) 0.002 H xs = xr = 2*π*f*Ls 0.6283i Ω Lm(magnetic inductance) 0.01 H xm = 2*π*f*Lm 3.1415iΩ f (frequency)...
3. ### Designing a Lifter

I have a platform which can lift 600 kg (the platform itself weighs 95 kg so their combined mass is actually 695 kg) at 0.75 m/s up to around 37 m in height at a maximum angle of inclination of 87 degrees. The issue I'm coming across is determining the power required to lift said mass as the...
4. ### B Significant figures for special functions (square roots)

I am using square roots, however, I am confused over how many significant figures (s.f.) to keep. Suppose I have ##\sqrt{3.0}##, which has 2 s.f. From three different sources, I'll put a summary in brackets: https://www.kpu.ca/sites/default/files/downloads/signfig.pdf (if 2 s.f. in the data...
5. ### How to calculate the voltage induced in a coil by an AC magnetic field?

So, as it says in the title, I am trying to calculate overall voltage induced in a coreless coil in the cases of it being stationary and moving in an alternating magnetic field. To go more into detail, I would like to create a mathematical model of a coil in an alternating magnetic field that...
6. ### Heat Energy Intercepted by the Earth

I've recently been interested in how much energy the Earth intercepts from the Sun; the answer, unsurprisingly was an astronomical amount, measuring quite easily into the ZetaWatts. However, the maths that got me that answer got me thinking... you can use the same method to determine the amount...
7. ### Calculations on a fireworks rocket?

So I'll soon be writing an assigntment on the physics and chemistry behind firework rockets and that's why I'm here! I've already prepared for the chemistry part but when it comes to the physics part then I am a bit lost. Bare in mind that I'm supposed to learn something new (myself) and explain...
8. ### I Non-Hermitian wavefunctions and their solutions

I was wondering if anyone has worked with non-Hermitian wavefunctions, and know of an approach to derive real and trivial values for their observables using numerical calculations? Cheers
9. ### Framework problem

Hi! I'm currently doing a project where I'm constructing a framework for an engine mount connecting an airplane with an engine. The project involves both calculations by hand and with CAD(Creo), and i have no problem with the CAD part as i have done the simulations. The part with doing...
10. ### How to calculate the average with uncertainties?

Homework Statement How to calculate the average given the uncertainties in each measurement 8.70 +/- 0.28, 9.680 +/- 0.046, 9.700 +/- 0.055, 9.720 +/- 0.067? Homework Equations The Attempt at a Solution I know I add the values and divide by 4. I also know I add the absolute uncertainties but...
11. ### Fractional distillation calculations

Say I have got a super cooled cylinder of half hydrogen and half helium. This cylinder has a pressure of 100,000 Pascal's. At this pressure, hydrogen boils at 20 Kelvin and helium at 4.21 Kelvin. I hope to separate helium by cooling gas down to 4.21 Kelvin but I know that even at the...
12. ### Designing a go cart

Hi, i am a student of bachelors of mechanical engg. (2nd year). I want to build a go cart. But i don't know the basics. I don't know a thing about automobiles. I am learning the catia software for designing. But i don't know what kind of "calculations for go cart" must be required to design the...
13. ### Why do we multiply permittivity of vacuum with relative permittivity?

Why do we multiply permittivity of vacuum with relative permittivity? What does this calculation mean?
14. ### How to calculate acceleration in a funnel

I have seen some tidal turbines that have funnel ducts around them to improve efficiency. So how would one calculate water acceleration in a funnel? If you want figures: water velocity - 3 m/s funnel opening A (largest) - 8 meters funnel opening B (narrowest) - 5 meters Distance between A and...
15. ### Aversion to doing calculations

I've developed a sort of aversion to doing huge calculations most of the time (at home) I just want to plug it into the calculator and do it . This is affecting my exams, I tend to put off questions which have a lot of calculation to do and then ultimately do the calculation wrong (We're not...
16. ### Ball bearing selection

Hello there guys I'm trying to find out which ball bearings I have to use for a new wheel hub I am designing. What I'm currently doing is a load analysis for the axis but I am confused on how would the forces that affect the wheel (normal, friction, lateral force when the car takes a turn...
17. ### Venturi equations

I want to make a leaf-vacuum using a leaf-blower. Does anyone know how I might calculate the pressures? Thanks!
18. ### Simple Gear Train Efficiency and Torque Help

Homework Statement I'm on the very last section of a question for the design of a simple gear train. I've managed to design the gear train with all criteria fulfilled and I am confident that it is correct. I just need clarification that my calculations thus far are correct and also a fresh...
19. ### Calculating size of wooden members

I need help calculating the size of the wood members I need in my truss. I understand the basics; I first need to calculate the load, then the stress on each member, then pick a wooden member which has that stress with a safety factor of let's say 2.0. The reason why I want to perform the...
20. ### Blade Runner -- Prosthesis propulsion question

Hi there. I have come to this forum to try and find someone able of helping me with some (im sure) basic Physics. I'm trying to work out the Physics behind the Prosthetic carbon fibre legs that Oscar Pistorius uses, a diagram would be incredible! I want to know what calculations would be...