What is Calculation: Definition and 1000 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.
So this thread has been closed and I can't comment on it. I am working on this question as well and am stuck on b). I managed to solve for a) and c) but I have no idea how to go about finding the force normal and do not know where the formula "Fnet= mg + ma" came from or why to use it. Could...
Homework Statement
I'm trying to calculate the integral:
S= \int (d^{N}x) exp(x_{i} A_{ij} x_{j}) = (\frac{\pi^{N}}{detA})^{\frac{1}{2}}
where the integration is done over (-∞,+∞) , and A_{ij}=A_{ji} (symmetric NxN matrix)
Homework Equations
The Attempt at a Solution
I am not...
Homework Statement
Calculate the pressure of sand grains falling on a 10cm X 10cm sheet of paper. Assume the grains are each 1 mg in mass, the ate pf the sand as it falls is 100 grains per second. The sane is falling from a height of 1m under gravity, and the sheet it falls to is sticky, so...
I would like to calculate the values for an air curtain. I've tried using the aircurtain calculator from Engineering Toolbox:
http://www.engineeringtoolbox.com/air-curtains-d_129.html
Δp = 2.2 q2 sin(α) / b H3/4
but I'm not sure how to figure in the length of the opening - q (q =...
Hello,
I have a real world application that I need some help with. I am sensitive to the fact that this is not the space for homework questions, or homework style questions. I feel that this is neither. If you disagree, please let me know and I will post it elsewhere.
It has been a while...
What is the funda behind the Elemental Composition Calculation of Cathode Material for Sodium / Lithium Ion Battery (Na2/3 Ni0.4 Mn0.4 Co0.2 O2)/ AMO2? Apart from the Oxidation state calculation, Phase Diagram Elimination of mixtures and Random Compistion, is there any Principle behind it?
Hello,
How can one calculate the dimensions of valve shims in Gas pressure shock absorber?
Desription-
The valve shims are orifices to the fluid flow in the hydraulic damping system. The dimensions play a very vital role in the adjustment of compression and rebound of the damper.
I have...
Hi
I need to calculate the velocity of an airplane after it executes quarter loop (starts horizontally, pitches up and ends vertically). Because I also need to know the velocity at several intermittent points I wrote an incremental equation (below).
But this is only correct (if it is correct...
hello, I was wondering how the atomic radii where calculated.
I have used the formula r=\frac{a_{o}n}{z*/n*}
where z* is effective nuclear charge
and n* is the effective principal quantum number
but it seems to give me a bit different radii compared to the ones on Wikipedia...
Given r, Δθ and Δz and ρ, Δφ and Δθ, I think that is possible calculate algebraically those regular surfaces without use integration. Is possbile? If yes, how?
I can compute the area of the rectangle formed by Δx and Δy simply by product ΔxΔy.
Now, how can I to compute the area in gray given Δr and Δθ?
Also, I can to compute the volume of a parallelepiped formed by Δx, Δy and Δz, simply multiplicand ΔxΔyΔz. But, how can I compute the volume...
Hello, i was wondering if the following is correct:
The expected value of (a*x+b*x*y)/(c*y) given that a,b,c are positive constants and x,y are positive random variables is:
∫∫(a*x+b*x*y)/(c*y)*f_{x}(x)*f_{y}(y)dydx (where f_{z}(.) is the PDF of z).
Thank you in advance.
The question is : A cable of circular cross-section and diameter 2 cm has a long cylindrical hole of
diameter 1 mm drilled in it parallel to the cable axis. The distance between the
axis of the hole and the cable is 5 mm. If the cable has a uniform steady current density of J=10
5 Am-2...
My company is working on a few concept ideas for our field. Currently we are looking at jump packs concept work. We are looking to lift a human about 180 pounds, and about 50-60 pounds of gear = 230 Pounds Total. Our goal is to lift that weight about 20 Feet in the air while the subject is in a...
Homework Statement
I am trying to find value of a capacitor knowing capacitor impedance (Phasor) and ω (in rad/sec).
The Attempt at a Solution
Zc = -j/ωC
C = -j/ωZc
My question is do I have to convert the ω into degrees/sec before doing the calculations since Z(impedance) is in...
I heard that if Gaussian crashes, you can just resume the calculation by loading the incomplete log file. How do I do that, I tried opening the incomplete .log file with GaussView and Gaussian and neither work (get error messages). Do I need to create a checkpoint file or something? This time I...
Hello, i am asking a question:
is there any formulation of wind tunnel blockage ratio? i will carry out experimental study in a wind tunnel, the aspect ratio (AR)=5, and what equals the blockage ratio?
if someone helps me, i will be very happy :)
thank you...
I was looking through my notes and came across this (above) I understand the calculation etc but I don't see where the number of atoms N was calculated?
I don't see where it has come fromAny help would be great thanks in advanced
Homework Statement
A 25kg box of bricks is to be pushed up a ramp and into the back of a pickup truck. The box-ramp system has coefficients of friction (static = 0.6, kinetic = 0.45). If the ramp is placed at 32 degrees with respect to the horizontal, draw a free body diagram to answer the...
Dear all
When we calculating the cross section of particles, we apply the trace calculation. This is not clear for me, why we use the trace calculation?
Thank you all.
This is a problem from Boyd Nonlinear Optics chptr 1 problem 2.
Homework Statement
Numerical estimate of nonlinear optical quantities. A laser beam of frequency ω carrying 1 W of power is focused to a spot size of 30μm diameter in a crystal having a refractive index of n =2 and a second order...
A Cantilever beam of SiO2 of length 100μm, width 20μm and thickness of 5μm. How to calculate the resonant frequency? I know f=1/2∏√(k/m) where k=3EI/L^3 and mass = l*w*h *ρ (density) and I = w*t^3/12, but i don't get the desired answer. pl correct me.
What changes are to be considered for...
In wiki there is the follows formula:
https://en.wikipedia.org/wiki/Green%27s_theorem#Area_Calculation
But, I don't understand why M = x and L = -y. I don't found this step in anywhere.
Here's the question:
One of the brightest stars in our night sky is a red supergiant with a mass about 10× the
Sun’s mass and a radius about 1000× the Sun’s radius. At the end of its life it will explode
as a supernova and then collapse and become a black hole. How large will the black...
Hi,
I was thinking of something: How are one supposed to calculate the moment needed for a scoop to scoop up a sample of e.g. sand? Does the classical p=mv work? Any ideas or comments?
Trouble replicating a calculation in "Silicon Nanoelectronics"
I'm reading the textbook "Silicon Nanoelectronics" and I've encountered an equation for the transmission probability, which you can see among the attachments.
In this equation, T is the transmission probability for a...
I'm trying to predict the possible pull force of some electromagnets from the following equation:
FPull= ( n x I ) 2 μ0\frac{A}{(2 g ) ^ 2}
F : Force.
n : Number of turns.
I : Current.
μ0 : permeability of air.
A: Area in m2
g : the gap that is separating the electromagnet and the object...
I don't feel all the way safe with my knowledge of power and work, so I am basically asking for someone to take a look at my work, and see if I am off base or not.
Here is the problem (of which I do not know the answer to):
A ski-elevator consists of a rope that skiers hold on to. The rope...
Homework Statement
Three point charges are located in an equilateral triangle with side 0.330 cm, where q1 = +8.30 µC, q2 = −8.20 µC, and q3 = +1.90 nC.
A) What is the electric field at the location of q3? Enter the x component, then the y component.
B) What is the force on q3? Enter the x...
Hi
In my lecture notes we making some calculations and all terms \mathcal O(M^3) are to be thrown away. Here M is the Mach number. Now, there is the expression (u denotes the velocity):
uu\partial_t \rho \approx \rho_0 uu\nabla u
which in my notes are thrown away because they claim it is...
Hello,
How is it possible to calculate the static thrust from a fan given power, radius, air density, and propellor efficiency? I've did some research and found various equations that all gave me varying results. Does anyone know what the real static thrust equation is? Thanks...
Hello, I'm building a generator and have completed initial phase. I made coil with 300 turns, which gives me 12v when rotor is turned at 2000rpm, if I short the coil it gives me 16 amp.
1] Now I'm wondering what is the output wattage of the generator I built / described?
2] If I use 18...
Homework Statement
Hi everyone,
I'm trying to calculate the flow rate of air in straight tubing that is 30cm long and has a diameter of .1875 in and has an outlet into a 100 mL vial which is vented to the atmosphere. The starting of the system pressure is 20 psi and the ending psi is 14.6...
Homework Statement
If a 3 bus power system with buses A and B as generator buses and bus C as load bus.
Power injection at bus A is 30 MW, at bus B is 60 MW and at bus C 90 MW withdrawal. Impedances in the 3 transmission corridors B-A, A-C and B-C are equal, i.e. X1 = X2 = X3. What is the...
Hello there,
I was taught:
a = {v^2 \over R}. I substitute v for the speed of the rotating Earth at the equator, and the radius, R = 6378m. And I get a = 0.03 \rm m/s^2.
It looks like the equation a = {v^2 \over R} may incorrect. Why am I taught this equation in University if it is false...
Homework Statement
A cantilever beam (prismatic, rectangular cross section) is loaded at the tip by a force
P and at half its length L by a moment M.
a. Calculate the reaction force and moment.
b. Draw the shear force and bending moment diagrams
Homework Equations
∑F=0; ∑M=0
The...
Homework Statement
Find the deflection at x=L/4 and x=L/2 for the beam
Homework Equations
See attached pic.
The Attempt at a Solution
So I have the solution derived in class. Only 0<x<L/2 is derived because since the load on the beam is at L/2, the equation is valid for the...
Hello,
I have been given the attached assignment which has completely baffled me. I was also given an similar example question with a solution by my lecturer but I want to understand what I'm doing instead of just copying the answer without actually understanding it.
I would really...
Homework Statement
The Apollo 11 astronauts set up a panel of efficient corner–cube retroreflectors on the Moon's surface (see figure below). The speed of light can be found by measuring the time interval required for a laser beam to travel from the Earth, reflect from the panel, and return...
Greetings All -
Per F=BIL I can calculate quantity of Force on coil (or magnet), when I draw certain amount of current from the generator.
So I need help in calculating the Force and then weight equivalent of it. Let's say I have Single coil [with 300 turns] generator [wire length = 92...
Homework Statement
Given the transmitting power of 0.1 mW and received noise of -100 dBm. Consider a signal which needs a SNR of 30 dB. Calculate the range for a signal of 0.5 MHz given that the damping for the signal is calculated as:
L = 10 +8.0*f [dB/km] where f is the...
Hello.
I'm trying to add a mechanical (pneumatic or electrical) brake to a shaft.
I have a 2" diameter shaft rotating at 8 rpm's max.
The shaft has and 60" diameter, 6500lb. cylinder attached to it axially.
How do I calculate the maximum torque of the shaft?
Thanks in advance,
Frank
Homework Statement
A sample of sulfur, mass 2.56g, is burned in excess oxygen inside a calorimeter of heat capacity 923 J/K and insulated by 815g of water. If the sole product of combustion is SO2(g), what is the expected increase in temperature?
Homework Equations
q = mcΔT
q = CΔT...
I have designed and built a device that harnesses centrifugal force.The power output is in the form of
2 x 10mm steel rod "pistons" that move up and down a distance of 15mm. I have measured the weight these pistons can lift to be 122lbs when the device is operated @ 4000rpm. Each piston moves...
I'm trying to calculate the power factor of a three phase synchronous generator
torque angle = arctan^-1 (impedance)
(sin torque angle/ current x voltage)
90 - torque angle - sin = XYZ
power factor is cosine XYZ
Is this the correct calculation to use?
Homework Statement
I need to find out how much heat is generated by a brake.
I know heat generated = friction
The parameters that will affect it friction are
Normal load (I can choose depending on outcome)
Coefficient of friction (assumed 0.8 between carbon fiber and steel plate)
Area of...
When all the 4 wheels are braking,it seems logical to write the longitudinal acceleration like this-
$$m_{vehicle}.a_x = Sum of F_B $$
Where
F_B are the brake forces at the 4 wheels.
Now,what would the equation look like when ABS is working?
Some of the wheels would be braking while...
Homework Statement
If given cumulative (Adding up every increment to the next) KWh values at an interval of 5 mins each. is it possible to determine instantaneous power from it? Homework Equations
P=IV
P(t) = VI cos(ωt) cos(ωt −θ )The Attempt at a Solution
Well, because the question is more...
See attached for problem
Working:
Mean: 1203.26
Standard Deviation: 7.047
for 99% confidence interval, level of significance = 0.01
Therefore
0.5 - 0.01/2 = 0.45
Reading 0.45 from standard distribution table i get a value of 1.65
therefore confidence interval should be...