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.
Homework Statement
6. A 2.5-kg book slides horizontally and falls from a shelf 3.0m above the floor. How much work does the force of gravity do on the book as it falls 3.0m?
F. 1.2 J
G. 7.5 J
H. 24.5 J
J. 73.5 J
7. Which of the following is the minimum amount of work done by a...
I did an exercise today on my breadboard with an inductor that I made from a coil of 22 gauge stranded hookup wire wrapped in a helix coil around a 60d nail I found in my garage. The power source was a 9V battery. I took a measurement of just the battery fully open with my digital volt meter and...
Homework Statement
Hi, I am answering Question #3, and using the formula and variables above scratch area as reference on how to answer the question.
Could someone please have a look and see if the problem I worked out came out correct. Homework Equations
The Attempt at a Solution
First I...
I have to assess the sizing of a spindle of a DN600 Knife gate valve.
The spindle is subjected to two sources of loading acting in both shear and tensile.
•Torque applied to the spindle.
•Resulting thrust from line pressure.
Known data:
Required thrust at 2 bar line pressure: F = 53.2 kN...
The Question
A single phase transformer has the following rating: 120 kVA,
2000 V/100 V, 60 Hz with 1000 primary turns.
Determine:
(A) the secondary number of turns
(B) the rated currents on the primary and secondary
(C) The maximum flux
(D) given a maximum flux density of 0.25 T, the...
Homework Statement
A) Calculate the reduction potential for the reduction of E \cdot Fe^{3+} (aq) by Fe^{2+}
B)What is the equilibrium expression, equilbrium constant, and K_{d} for E \cdot Fe^{3+} (aq)
Known:
Fe^{3+} (aq) + e \rightarrow Fe^{2+}(aq) \hspace{15pt} E = 0.22 V
E \cdot...
This is totally pissing me off, I don't know what the heck am I doing wrong.
Alright, so I was given a temperature of 30°C at 30% relative humidity. I have to get the absolute humidity-
So I used Antoine; log(P)=7.96681-1668.21/(228+30); P = 31.6869mmHg.
0.3 x 31.6869 = 9.41517...
HI
I'm making a sun follower with a pic, and I need the formulas to calculate the position of the sun, I need to calculate azimuth angle and zenith angle (Is that enough to know at any time the position of the sun?).
Thanks
Hello all,
I have a shaft supported on both sides with a charge on each bearing, as shown on the following link: http://www.engineersedge.com/beam_bending/beam_bending4.htm
I need to calculate the shaft deflection with the formula provided on the website, but my shaft often have different...
Dear all
I am working on a project and I need to measure the surface roughness of a specific type of wood. I don't want to make things complicated because I have to make the instrument myself. I think an interferometer can help me to measure surface roughness but I really don't know how to...
Can you suggest any source available on internet which may be particularly helpful for those studying/brushing up knowledge of classical or quantum field theory without help of any teacher or friend? Some calculations are at first not so straightforward and there are many types of calculations...
Just some things I need to verify:
When finding the x-bar of the function y=x3 using the equation:
\bar{x} = \frac{∫\tilde{x}dm}{∫dm},
Is my \tilde{x} going to be the x distance(which will just be "x") times x3?
Also, will x3 be in the denominator just before "dm"?
The same process...
Hello,
I am currently assigned to perform a drop tests on a unit that we sell. Thing is that I am an Electronic Engineer so I am not best at mechanics.
I am wondering whether you can calculate forces and required material strength to withstand the drop test. The reason I am asking is...
I am an EET student. The professor I have is not very thorough in his examples and if you can't keep up with him or have x-ray vision to see through him to the board while he is working the problems then you just don't get the information needed. That said, I am currently trying to do a take...
I would like to calculate the energy need for move in the black volume in gas (move in from r2 to r1), when gas is under rotating movement. The black volume turn at the same speed than gas. The weight of black volume is considered like 0. Like rotating create centripetal force, the pressure at...
For a physics project, a few friends and I got ahold of a couple of balls that would record the time of an impact. Using this, we wanted to calculate g using kinematics to see how off we would be from the expected 9.81 m/s^2. Obviously, differences in altitude, air resistance, and experimental...
Hello! I have a question about seat belt force. In a 55km/h collision maximum chest acceleration is 60 g, and if say torso weighs say 40kg, then max force should be 600 m/s^2 * 40kg, which equals a lot, but if you look at test data of seat belt force it is only 8KN which is strange, compared to...
I have a book on Gaussian but it mainly just explains how to use the program, it only gives very brief explanations of the theory behind how Gaussian does what it does. I want to gain an understanding of how Gaussian performs the various types of calculations that it can do. I understand the...
Homework Statement
Without any calculation, explain why [(1 3 0)' (2 2 1)' (-1 0 1)' (1 -3 1)' ] is a linear dependent set.
The Attempt at a Solution
I used the theorem which states that the number of vectors in any linearly dependent set is greater than or equal to its dimension...
Hello,
I have been looking for a decent electrical forum for quite some time now.
Here is my problem. I own a service and rewind company where we rewind and service electrical motors. We also repair servo motors. A lot of times, due to bearing failure, the magnets on the rotor overheat and...
The only thing I know how on the basis of nuclear reactor design is how to run kcode in MCNP and see if my theoretical reactor is critical. How would I be able to calculate how the fuel is burning in my reactor over some period of time, and change my core composition accordingly?
Hi all,
I am doing a project on Pick and Place system with 2 Servo based Axis control system. I am struggling in selecting the servo motor and torque calculation. My pick and place system consists of 2 Servo Rotary axis which indexes from 0 degree to 180 Degree with 1 Sec acceleration and...
Ok, I want to start by saying I have been out of this field for some time and I have regrettably lost a lot of my knowledge. So I may require a little patients, but here it goes.
I am wanting to construct a micro motor. I was trying to decide on what materials to make the internal...
Homework Statement
To purify osprase you must use 750 mL of an extraction buffer consisting of 0.500 M Tris, pH 7.8, 100 mM NaCl,
20% sucrose. You have the following chemicals available:
Tris base (FW = 121.1 g/mol; pKa = 8.1)
1.00 M HCl
NaCl (FW = 58.4 g/mol)
Sucrose (FW = 342 g/mol)...
Homework Statement
It is common to see birds of prey rising upward on thermals. The paths they take may be spiral-like. You can model the spiral motion as uniform circular motion combined with a constant upward velocity. Assume a bird completes a circle of radius 6.00m every 5.00s and rises...
Homework Statement
Consider the matrix elements of \hat{x} in momentum space. That is, evaluate \langle p | \hat{x} | \psi(t) \rangle in terms of the momentum space wave equation \langle p | \psi(t) \rangle .
Homework Equations
\langle x | p \rangle = \frac{1}{\sqrt{2 \pi \hbar}}...
A submarine has run into trouble and is stuck at the bottom of the ocean. Several people are on board and must make their way to the surface without any diving gear. The air pressure aboard the submarine is 3.500 atm. The air temperature inside the submarine is 17.52 °C and you can take body...
I have a cantilever bracket, fixed at one end, free at the other.
One vertical element AB, 330mm long with a fixing at either end to a wall.
One horizontal element CD, 375mm long.
CD is fixed at 90deg to AB, 130mm from the top.
A constant, downward load W=30kg, is applied to the end of CD...
Homework Statement
A hard rubber ball is bounced on the floor. Compare the ball's acceleration on the way down to its acceleration on its way back up.
Homework Equations
-
[b]3. The Attempt at a Solution [/b
First off, ignore air resistance.
Lets assume that the person bouncing...
Hi all,
I have a the following problem to solve fairly quickly, I need to calculate the required input torque to my gearbox and pump
Gearbox output torque - 0.12348Nm
Gearbox output speed - 80 rpm
Gearbox input speed - 4 rpm
Gearbox (compound gears) Gear A, driver = 100 teeth, Gear B...
I live in Dubai, and the water for my whole house is stored in a water tank on my roof. This is a problem as during the summer months the temperatures reach up to and a bit beyond 50 degrees in the day, this heats up the water in the tank a lot so we don't have any cold water during the later...
I have recently developed a multi-computer networked simulation of a turbofan jet engine test cell control room, including a real-time simulated jet engine "model", PLC control logic, video playback of a engine at various states, and a throttle for maneuvering. I currently calculate all...
I decided to write an arbitrary precision calculator but I'm having problems with division.
It will multiply a thousand digit number by another thousand digit number in about a second but to get a division result to about 250 decimal places is taking around 20 seconds, I cannot figure out how...
I was toying with the idea of making an iron core electromagnet to retrieve a broken portion of my driveshaft from a recess in the end of the crankshaft on my boat motor. The mechanic at my work said I wouldn’t be able to do it, so I figured I would entertain the idea.
The driveshaft is...
I have a physics assignment. Part of it is to calculate the speed throughout the rollercoaster and to not exceed 4.5g's of force. Anyway, I'm calculating the speed of the rollercoaster using the formula
0=g(h2-h1)+0.5(v2^2-v1^2)+μNd
(I have already simplified to not include the mass...
I have been given a project at work to find the number of dozers needed to push a certain volume of material in a certain amount of time. My issue comes with the actual horsepower of the dozers. We run D10T, D11R, D11R CD, and D11T Cat "track-type tractors". So from what I am thinking, I want to...
Hi all,
I have a peristaltic pump that i need to rotate at 26 rev/min. The gear arrangement attached to the pump is calculated at 13.1:1 therefore I am assuming an input speed of 340rev/min is required to produce a reduction in speed to the desired output of 26 rev/min.
Gear A (1st...
Hello,
Problem, let B={a_1,a_2,a_3} be a basis for C^3 defined by a_1=(1,0,-1) a_2=(1,1,1) a_3=(2,2,0)
Find the dual basis of B.
My Solution. Let W_1 be the subspace generated by a_2=(1,1,1) a_3=(2,2,0), let's find W*, where W* is the set of linear anihilator of W_1. Consider the system...
Homework Statement
(old exam question attached)
Homework Equations
Complex power: S = VI* / 2 = P + jQ where P is the average power and Q is the reactive power
Magnitude of complex power |S| = Vmax*Imax/2
V = ZI
The Attempt at a Solution
We can calculate θv - θi for each load by using...
Homework Statement
Find torque pin stress given:
Length is 5.5 ft
length from center to pins are 1.375 ft
length between pins is .667 ft
pin dia = 2.25"
The Attempt at a Solution
I am concerned about my calculation for torque pin force. Any suggestions?
I know it must relate to the velocity profile being a parabola shape and the max velocity being at the peak of the parabola -
I wanted to know whether there are actual calculations I can do to show this?
I only know the basics so as much details as possible would be great help...
Good afternonn,
these are the motor and circuit data:
Motor power: 0.37kW,
Nominal current: I= 0.8 A
voltage: 415 V,
cable length = 80m
ambiant temperature: 50°C
Maximum voltage drop percentage =415*4% =16.6V
According to the Bahraini Regulations:
- temprature factor= 0.89
- core...
Hi,
When using data in calculations, errors can be introduced by the calculations themselves;
A common example of this kind of data is the atomic mass of some element; The data might be reported by NIST as: 190.233(20), which indicates that the mean is 190.233, and the maximum likelihood...
Hello all,
I have a few questions about calculating efficiency, torque and horsepower for a small pulse dc motor. The only parameters that I have are input voltage = 39Vdc, input current = 2A and rpm = 90,000 rpm. Are the above values obtainable with the given information?
This is not a...
Hi Guys,
This is for my university project.I need to design a oil tank for the formula student car.The first stage is the analysis of the existing stock oil tank (Aprilia SXV 550 is the engine).I need to find out the heat lost/transferred from the of the existing oil tank.How can I calculate...
Hi Guys,
This is for my university project.I need to design a oil tank for the formula student car.The first stage is the analysis of the existing stock oil tank (Aprilia SXV 550 is the engine).I need to find out the heat lost/transferred from the of the existing oil tank.How can I calculate...
Homework Statement
Current, I, flows around symmetrical loop of thin wire.
The loop comprises 2 halves (semicircle & triangle). Distance from vertex of triangle equals radius, a, of the semicircle.
Find the mag' field at axis of loop (where axes coss)
Homework Equations
Could I use...
I am trying to calculate the wavevector of a surface plasmon. The magnitude of the wavevector is given by:
k = \frac{ω}{c}\sqrt{\frac{ε_1ε_2}{ε_1+ε_2}}
where ε1 is the dielectric constant for air and ε2 is the dielectric constant for the metal. However, according to the Drude model, the...
Hello, I am doing some calculations of the band structures of the surfaces of several materials. I would like to perform passivisation on these surfaces so as to remove any metallic surface states. Unfortunately, I was never great at chemistry and so it's not obvious to me how to choose what...