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.
I am wondering what the first steps are to finding an interesting calculation, and doing it. My adviser seems concerned only with me writing my thesis to hurry up and get me out of the program, rather than helping me develop my CV and involving me in other calculations he may be doing. It seems...
A bicyclist applies varied force and velocity on their pedals as it goes around one revolution. The power distribution over one revolution is like two waves with the higher power being made on the downstrokes. The push through the bottom/top produces the lowest power. The question is does...
1. Ascorbic acid in vitamin tablet
Vitamin tablets with advertised contents including 750 mg ascorbic acid were analysed.
A student took a whole tablet, crushed and dissolved all of it in water. He then diluted the tablet solution to a final volume of 250.0 mL. The student analysed 20.0 mL...
Homework Statement
A student weighs by difference 0.1956 g of sodium oxalate into a 100 ml Volumetric flask and dilutes to the mark 10 ml of HCl and 90 ml of distilled water. Approximately how many ml's of 0.02 M KMnO4 would be required to reach the equivalence point of the titration...
I must be doing something wrong here but I cannot figure out what it is1. Homework Statement
An insulated beaker with negligible mass contains a mass of 0.350kg of water at a temperature of 70.1∘C.
How many kilograms of ice at a temperature of − 11.6∘C must be dropped in the water to make the...
I want to simulate such a system in Simulink.
It is a system of mass between two compression, spring preload. Springs are compressed length of 64 mm to 54 mm. Acts on mass shock 50G for 10ms. The coefficient of spring constant is changed depending on the position and direction of movement mass...
I'm building a wall mounted cabinet, with a fold down door. It is for my grandson's slot car track, in his bedroom. The door is 3x7 feet and weighs approximately 40 lbs. It is mounted length wise, on the wall. I think I need tension or torsion gas springs, which pull instead of push. I don't...
Can someone check the symmetry factor I've found in the following diagram and verify it?
Do you know if there is any way to determine the SF of a diagram fast?
So I have \phi_x which can be contracted with 4 \phi_w : 4
Then \phi_y which can be contracted with 3 \phi_w : 3
Then I have 2 \phi_w...
For the above op amp circuit: Vin= squarewave with 10Vpp and 1kHz. C=0.01uF. Vcc and -Vcc is 15V and -15V. Using the above specs, I calculate R using these equations:
Requirement: Create a triangle wave with output voltage Vo to be 10Vpp.
This is a gain of 1. Using the above, I find...
Newtons Universal law of gravity equations are an excellent approximation when dealing with low velocities (i.e., velocities whose magnitude is much smaller than the speed of light) and when dealing with weak gravity fields (such as those found on Earth or around low-mass stars). The...
Homework Statement
Suppose you flip 1000 coins, what is the probability of flipping exactly 500 heads and 500 tails. (Hint: First write down the formula for the total number of possible outcomes. Then, to determine the "multiplicity" of the 500-500 macro state, use stirlings...
Please help look at this picture and give me the answer please: are those right or not? In general look, when we can change the order between integral and differential...
Newton showed that if gravity at a distance R was proportional to 1/R2, then indeed the acceleration g measured at the Earth's surface would correctly predict the orbital period T of the Moon. (Remember Earths gravity causes the moon to orbit the Earth.) We can find the answer using MKS system...
Hi,
Are there any rules against multiplying or adding first when using modulo #?
The reason I ask is because I'm doing the dot product for two vectors:
[10, 9, 8, 7, 6, 5, 4, 3, 2, 1].[8, 0 ,3 ,7, 0, 9, 9, 0, 2, 6]
By doing this, I get:
80 + 0 + 24 + 49 + 0 + 45 + 36+ 0 + 4 + 6 =...
Homework Statement
Using the normalization condition, find the constants λ and a of:
f(t)=ae^(-λt)
Homework Equations
integrate from t=-∞ to t=∞
of the function and set it equal to one
The Attempt at a Solution
I used to be good at these but something is slipping my...
This is from a physics course, but felt more appropriate to post here.
I just want some sanity checking on my procedure, since I'm not this far in my calculus course yet but am having to work through it anyway for physics.
I have no idea how to approach part c, not even an inkling of where...
Hi, I am trying to understand how one determines the natural linewidth. On my assignment, I am only given an energy (589.1 nm transition in sodium). I have two sources that I have found that seem to contradict each other:
Source 1: Slides 5 and 6
Source 2: Hyperphysics
If I plug in...
Need to know about coefficient of friction for my exam.
http://easycalculation.com/physics/classical-physics/friction-table.php
This site shows coefficient of friction of various materials to materials. But no calculations are given.
Can somebody help me on how to calculate the...
I am planning to use the Panasonic NCR-18650 cylindrical cells for a BEV (Battery Electrical Vehicle). As it would be easier to buy ready-made modules, I have found a supplier selling a Li-ion pack that delivers 417 Wh(or in other words 11.6 Ah) at 36 V (something like what this guy uses...
I know that for a given signal, the sampling frequency Fs must be twice or more than maximum frequency of the signal Fm. It is easy to understand the concept for a 1D signal. But I don't know how to calculate sampling frequency or Nyquist rate for a 2D image.
Also what is effect of...
Homework Statement
Hello all, I'll try to keep this as short as possible! :) I won't include the particular values we were given, just so I still have to do something for this part. It shouldn't matter too much, I believe.
My team and I are acting "car crash investigators" for the purpose...
Homework Statement
Add the following:
(2.526/3.1) + (0.470/0.623) + (80.705/0.4326)
2. The attempt at a solution
= (2.526/3.1) + (0.470/0.623) + (80.705/0.4326)
= (0.81) + (0.754) + (186.6)
= 188.2
I have calculated the answer (using sig figs) to be 188.2, however, the answer...
Hi, I'm trying to figure out how to compute probability related to a problem I am tackling for work, and I think I have a handle on how to do it with smaller numbers, but no idea how to approach it for larger numbers. (And I need to explain the answers to a judge in simple terms). So here is...
Homework Statement
Hi guys,
I just wanted to verify my calculation of a reynolds number of a wind turbine. I understand that the reynolds number will vary in a spanwise direction along the blade due to changes in the characteristic length(chord width) and velocity(due to the tip speed...
Hi guys,
I just wanted to verify my calculation of a reynolds number of a wind turbine. I understand that the reynolds number will vary in a spanwise direction along the blade due to changes in the characteristic length(chord width) and velocity(due to the tip speed ratio). As a way to...
Hello All !
Above is the title of the topic and am looking for inputs. Right now I am working on this as my thesis. And I am looking for some one how have already worked in the similar field for a better guidance for me. Thank you in advance.
Regards,
Homework Statement
Under appropriate conditions, the reaction of elemental phosphorus and elemental sulfur produces the compound P4S10. How much P4S10 can be prepared starting with 10.0 g of P4 and 30.0 g of S8?
Answer 35.9g
2. Step Sources
I'm following the steps from
"General...
Folks,
It's been a while since I've done calculations like this so I was wondering if someone can help me calculate the volume of a gas at a specific temperature as compared to its liquid volume when measured below its boiling point. I can't seem to find a phase diagram for this material, is...
I've got a problem asking for the reflection coefficient of a system consisting of a ideal conductor covered with a thin layer of lossless dielectric. I just don't know what to do.How can I do it?
Thanks
my instructor has everything in percentages not points. the final was 20% of the overall grade. up until the final (80% of the course) i had a 92%. and i received an 88% on the final exam. so what i did was 0.8*92=73.6 and then i did 0.2*88=17.6. i then added the two and i got 91.something. did...
Folks, I'm new to this thread. I'm a mechanical engineer, but I haven't done much fluids work since I graduated, 20 years ago. I have a question about calculating gas flow rate, so any help would be greatly appreciated. I have a design that I'm working on that will use a compressed gas...
Hello.
This is a power flow calculation of the generator node. I tried calculating several times but I still do not get the same values as this one. This one is the answer, by the way. Can someone explain to me why I got a different answer?
I got...
Hello.
This is a power flow calculation of the generator node. I tried calculating several times but I still do not get the same values as this one. This one is the answer, by the way. Can someone explain to me why I got a different answer?
I got...
Calculate the Reynolds number at a location χ= 0.3m along the chord length of an aircraft wing at each of the following velocities;u= 20,40,60,80 and 100 knots. Assume International Standard Atmosphere (ISA) conditions for pressure and temperature. Take; R =287 J/KG;μ= 18 X10 -6 Kg/m s; 1 knot =...
Glad it's Friday? I will be if you can help me with this :D :
I'm trying to understand an equation about calculating the power extracted by the blades of a wind turbine. I have spent a couple of hours going over it but still not making much more sense.
I'm trying to find out why P =...
Hi,
I am an orthopedic surgeon. Many of our long bones are anatomically curved. When they fracture they sometimes heal in a none perfect/anatomic position.
How do one calculate the angle/curve or changed angle/curve of a fractured bone healed or fixed none anatomically
Please see my drawn...
Hi.
Is there a short way to calculate real integration? I tried it but it looks so tedious. I attached the question so please refer to that. I am stuck with no.1, by the way.
Here is my attempt:
∫_0^(2π) dx/(13 - 5*sin(x))
let u = tan(x/2) which means x/2 = arctan(u) which means x =...
Hello,
Been a while since I posted on here, nice to be back :) .
I just want some pointers as to the methodology for an impact load case that I'm looking at. I've attached a very basic sketch of a trolley which is traveling at a known velocity and impacts a rigid structure at it's base.
What...
As part of a physics calculation, I have the following integral $$\int d \bar x a^{\sigma} \left[-\partial_{\mu}\left(\frac{\delta x^{\nu}}{\delta a^{\sigma}}\right) (\partial_{\nu}\Phi )\frac{\partial L}{\partial (\partial_{\mu}\Phi)} + \partial_{\mu}\left(\frac{\delta x^{\mu}}{\delta...
Homework Statement
If A is a time dependent vector, calculate
[itex] \int_{t1}^{t2} dtA(t) \times \frac{d^2A}{dt^2} [\itex]
Homework Equations
The Attempt at a Solution
I think we should somehow relate it with something's derivative.
\int_{t1}^{t2}A(t)\frac{d^2A(t)}{dt^2}dt=...
Hello all,
I have been working on an NPT monte carlo simulation. I would like to know how I can measure the instantaneous pressure of the system at each monte carlo step?
Hi, there. The following is copied from a book " atom-photon interaction " by Prof. Claude Cohen-Tannoudji, Page 415.
I do not understand it at all. I do know some thing about the coherent state.
such as
##a |\alpha\rangle = \alpha |\alpha\rangle##
and
##|\alpha\rangle =...
Using the Hall-Petch relation, estimate the yield strength, σy, of a Cu-Zn alloy (brass) when the average grain diameter is 30 μm.
where:
σy = is the yield strength
σ0 = 25 MPa is the internal friction stress
ky = 12.5 MPa·mm1/2 is a material constant
d = is the average grain size...
Hello, I'm attempting to calculate the magnetic field \mathbf{B} outside of a coil with current density, \mathbf{J}, and whose volume is a section of a sphere. Here is a diagram of the cross-section of the coil:
(The wire ridges are aesthetic and aren't considered in the calculations - I'm...
I am designing a brake system for big reel that weighs about 2500lb, spinning down on a truck that is moving at 15mph, the shaft is 2.5inch in diameter. It is rotating at 53RPM and it comes to a stop at about 45 seconds.
How do i start performing calculations and the design parameters...
I have with me an existing Agitator details of which are as below
Motor= 2.2KW/ 3 HP, 1440 Rpm
Gear Reducer = ratio 40/1
Agitator Shaft RPM= 36
Agitator Shaft dimension
Length = 2500mm round bar , SS 304
Blades = 5 nos, 100 mm wide, 5 mm thick, dia = 2200 mm, at a distance of 400mm...
1. Calculate the emf induced in ONE side of a coil of length 0.4m and width 0.3m, when there are 50 turns in the coil and the flux density is 96.8 mT, and the coil is rotated 30 degrees from the vertical. Frequency is 50 Hz and the long sides are the ones facing the magnets.