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.
Summary:: Calculate the amount of energy in joules generated from 2 kg of uranium fuel if the uranium 235 represents 0.7% of the metal and every fission releases 200 MeV.
Hi!
I am stuck in this question from my exercise book :
Q. Calculate the amount of energy in joules generated from 2 kg...
How would I go about calculating the time taken for the motor on page 2 to move the attached beam 360 degrees?
Things such as the rpm and voltage are given in the attached data sheet for various different motors and you can reference anyone you like. I'm more interested in understanding what's...
I am trying to calculate the power calculation of a general circuit with voltage leading the current by a phase difference of ##\theta##.
The instantaneous voltage is given by ##v = V_m\sin(\omega t +\theta) ; i = I_m\sin(\omega t) ##. The instantaneous power is then
##p = V_m I_m \sin(\omega t...
All the equations I have seen have a component that is unknown. Also, if possible do let me know if there is a software I can use to model or analyze data related to eddy currents
Good day
I have a problem regarding the directional derivative (look at the example below)
in this example, we try to find the directional derivatives according to the two approaches ( the definition with the limit and the dot product of the vector gradient and the vector direction)
in this...
this is the function
and this is the solution in which the definition has been used
my question is
Why we can not use the traditional approach? I mean calculation the partial derivative which equals 0 in our case? And doing the dot product with the vector v (after normalizing it)
many...
Hello,
If I am trying to calculate the heat removed from a chiller system through this formula on engineering toolbox.com:
Does COP or efficiency of the equipment come into play with this calculation? For example if a chiller is fully loaded isn't it running more efficient for a watt/ton...
The following paper appeared earlier this year on arxiv, entitled "Islands in Schwarzschild Black Holes":
https://arxiv.org/pdf/2004.05863.pdf
First, a bit of background: this paper appears to be part of a larger research effort aimed at resolving the black hole information paradox by showing...
We know that we humans have roughly 5 liters of blood circulating in our body. The volume also may be varying. We also know that its volume is tightly regulated and multiple organs are involved in it.
My question is, how we calculated that we have 5 liters of blood? Is it an approximation or...
Summary:: What does I need to consider in order to get the right spring?
Hello. I need a compression spring that require 10 lbs of force in order to be compressed 1cm. The springs outer diameter (De) has to be 1cm. The spring will be made out of piano wire. Which values of specification does...
So what I know is that without the edition of the R5 resistor R2 and R3 are 0 because the capacitor is short circuiting them. Why does the addition of the R5 resistor cause R2 and R3 to be calculated into the Req for the current equation?
The first thing I have to consider is that, since ##\Delta t \rightarrow 0##, the potential ##U## is not going to contribute and we can consider it to be ##0##.
Next thing I did was calculate ##\left<xt|x_1t_1\right>## directly with the definition considering what I said before, and I got...
I'm trying to get from the formula in the top to the formula in the bottom (See image: Series). My approach was to complexify the sine term and then use the fact that (see image: Series 1) for the infinite sum of 1/ne^-n. Then use the identity (see image: Series 2). Any other ideas?
I took a surface element dA at the surface of square at point x',y' now I took a point on x-axis and calculated the flux. But I got a very complicated integral though it should be simple and I can't interpret it
I don't really know how to find it mathematically as I am really confused in finding the normal vector and finding the electric field as well.
pls help
I need to solve the following equation for [OH-]:
Kw/[OH-] + (10^-5)Kb/(Kb+[OH-]) = [OH-]
by using the iteration method.
I guess that [OH-] = 10^-7 M. I plug this into the left hand side of the equation and find [OH-] = 1.39*(10^-7) M. I plug this value back into the left hand side, and get...
Well, this calculation is straightforward in the Heisenberg picture. After finding the eigen values and eigen vectors of the total Hamiltonian, I found the explicit form for the exponential of the integral of the matrix and then did the matrix multiplication and calculated its expectation value...
If many quasars are at redshift 10, and another group is at redshift 6, what is the speed of the second group relative to the first? The redshift 10 group can be considered "at rest", so the redshift 6 group is heading in our direction at what rate? For this scenario, let us assume all the...
Assume m2>m1 and take positive direction as downwards. String is inextensible so acceleration of block up = acceleration of block +pebble down =a
I used the following 2 equations to obtain a ;
-m1a = m1g - T , (m2+m)a = (m+m2)g - T
which gives a = g(m+m2-m1)/(m+m1+m2)
I then...
Hi,
My main question is: should we be subtracting the rotational power losses from the motor output power in our efficiency calculation?
My approach:
Will skip extra work as I have done the above parts of the question correctly.
I used power conservation to state that:
$$ P_{input} = P_{motor}...
Hello, I'm reading a paper at the moment and I came across this:
We now apply the solution technique to a single-phase, 3 kW, 240 V ASD heat pump. The ASD has smoothing capacitor C = 4200 pF, (corresponding to approximately 6% ripple in dc voltage), and total impedance (sum of Thevenin and...
I draw this picture in order to solve this problem. My first attempt was find the hypotenuse of the triangle and divide it by the speed of sound wave.
d=a/sin(θ)
d=4483.43m
t=d/c=13.07 sec
However, I am not sure whether I did it correctly or not... It looks the time is too big as an answer...
I...
Hi,
I have a question regarding a practical CMRR calculation.
Main information:
- Signal input: 10 mV rms
- Interference input: 1.5 V rms
- In an earlier part of the question, we found that for the second stage of the instrumentation amplifier (the summation amplifier) that:
$$...
Greetings to all
need forum members help regarding MCNP5 college assignment.
The task is to calculate dose from a system comprising of a neutron source surrounded by natural uranium. the system is subcritical.
The problem is how to calculate dose due to fissions in the uranium because dose from...
Hi, I am trying to figure out how many 1" steel square tubing pieces it would take to support a 500lb weight extended out 40" on a cantilever.
I have seen Modulus of Elasticity figures ranging from .029 GPa to 200 Gpa for Steel. The steel I plan to use would be common hot rolled square tubing...
I couldn't solve this problem. Any tips or help would be appreciated. If I am violating against any rules please comment, as this is my second post :-).
A and B 1 lyr apart and sync watches, C moving at .5 C, when at B, C sync watch with B, what time does A and C's watch show when meet. (I was told answer already here but could not find).
Hi all,
I just want someone to double-check my calculation. Using some typical values of a comet, if the comet has a speed of 300 km/sec when it is 100 million kilometers from the sun, how fast is the comet moving when it hits the radius of Jupiter from the sun (5 Au)?
I think I did everything...
Would need to know radial clearance, recommended viscosity of oil and babbit alloy of the journal bearings of a gear reducer of following dimensions and specifications:
1400 HP
22300 RPM input
6400 RPM output
Journal diameter of input bearings 2 in, length 3 in, 2 bearings
Journal diameter of...
Hypothetical: Approximately how far from Earth would a star the size of the sun have to be for an object the size of a quantum particle to cause a total eclipse of that star when orbiting the Earth at a distance equal to that of Earth to the center fro the moon?
When calculating the dV available from a rocket booster, the below calculation is used:
(ISP . g) . ln(Mass when full/Mass when empty)
Is 'g' always equal to 9.81 in this equation, or do you use the actual gravitational acceleration that the booster will experience, at it's given altitude, to...
According to the circuit in the figure; Can you calculate the values of the currents I1, I2, and I3.
Can you send me a detailed solution to understand?
Hi. How do i calculate the dynamic combustion pressure, force and piston velocity for different fuels in a cylinder? Assuming perfect combustion and no thermal loss trough the walls and piston.
I am thinking about an application similar to for example a fuel driven nail gun that runs on a...
Hello all,
I am a bit lost with a problem and my reasoning and would like to hear your thoughts about it.
Problem is the following :
For a set of data yi, I need to find the best value for Am given :
"i" is an indice {1, 2, 3, ... up to something like 20}. "m" stands for "mass" (Am is a...
I was absent for a while due to personal constraints but I did keep myself busy with the Time dilation equation some member sent me a while back.
I decided to set a time limit for myself to learn and understand time Dilation and length contraction, which must be before December 2020, or I will...
Scenario 1]
The dice are rolled out of your sight and you are then asked the p(7), before you are allowed to look at the results.
Calculate p(7) by looking at table of 36 possibilities and counting the number of sum cells totals that equal 7, there are six of them, so
p(7) = 6/36 = 1/6...
From the log tables:
##log(890) = 2.9494, \space
log(12.34)=1.0913, \space
log(0.0637)=\bar{2}.8041##
I calculate by hand:
##\begin{array}{r}
&2.9494\\
+&1.0913\\&\bar{2}.8041\\\hline &2.8448
\end{array}##
Thus:
##log^{-1}(2.8448) \approx 699.6 \space##
Which is the correct answer.
Now I...
Like AT asked I post a new thread because it is a different example, here there is no friction and I use a needle and an elastic to have the forces.
The circle moves in horizontal translation, the circle doesn't rotate around itself, the red wall rotates around A0, and A0 is fixed to the...
I have a transformer with the primary winding connected to a 115 volts 60Hz supply, the current is 0.230 amps AC, with a resistance of 25.3 ohms. The secondary winding is connected to an inductive load. The voltage across the secondary winding when the load is connected is 13.14 voltage AC with...
I thought it was easy but i am not getting the correct answer
The electric field due the point charge q is
##
E1 = q/(4\pi\epsilon x^2)
##
The electric field due to the thin ring of radius R is considering the electric field due to the element charge dq (dS)
##
dE2 = dq/4\pi\epsilon (x^2 + R^2)...
This is the diagram in mind
Some of my assumptions like the particle q will be moving with some initial velocity V1 in the circle of radius of r1 and when it moves to the circle of radius r2 its velocity will be V2 ( > V1) since its potential energy is decreased.
The amount of work done by...