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
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...
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...
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
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)
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...
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) =...
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...
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...
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...
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...
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 =...
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...
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...
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...
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...
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!
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...
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...
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...
<<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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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
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
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 =...
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.
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...
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...
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...
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...
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...
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) +...
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...
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...
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...