Unit Definition and 1000 Threads

Hi I was wondering what the method/theory is behind selecting the size of an anaerobic digester in order to fuel a 500kW cogeneration unit? Any ideas? Thanks

Consider the hyperbola y^2-x^2=1 (y>0) a.) Find a parameterization for the curve and write it in vector form, R(t) (b) Calculate the unit tangent vector as a function of the parameter. (c) Calculate the unit normal vector and the curvature vector as a function of the parameter.

For a motor modeling project I am trying to find a value that is measured in Volts/kRPM (Voltage constant) , in the motor specs that I am given i have a value in RPM/Kv, If the value for RPM/Kv given is 245, how can i find Volts/KRPM, or is that even possible Thanks!

Hi to everyone. I'm detecting collision between two ellipses. I've got my unit vector, my ellipse center and radius (horizontal and vertical). I want to calculate the point that lies in the ellipse on the direction of the unit vector. See the image attached. Suppose the red arrow is my unit...

The 1968 alternator gauge is 'smoked' The replacement Stewart-Warner gauge is different - it reads "Amperes" instead of "Alternator". I would like to save the casing on my unit...There is a detent on the rim of the casing and looks to me like the main cap would "pop-off", like a watch case. If...

Homework Statement Consider an electron of mass m=9*10^-30 kg in an infinite box of dimension a=10^-9 m. What is the energy difference between the ground state and the first excited state? Express your answer in eV. Homework Equations E_n = \frac{\hbar^2\pi^2n^2}{2ma^2} The Attempt at a...

Unit four appears to me to have no significant details left unknown. This was a weak hydrogen blast. The hydrogen had accumulated slowly after electricity was lost and air circulation stopped. The upper portion of the building was becoming quite warm which was encouraging the chemical...

Fukushima - Unit 2, what happened different to Units 1 and 3? There are recent discussions about this topic going on, so I think it deserves its own thread. According to attachement IV-2, Unit 2 is responsible for more than 90% of the overall emissions. So there's one big question: What was...

finding the FT of x(t)=sin(πt) sin(50πt) : ( '*' is the convolution operator) its FT X(Ω)=(1/2π) F(sin(πt)) * F(sin(50πt)) = (1/2π) jπ(δ(Ω+π)-δ(Ω-π)) * (jπ (δ(Ω+π)-δ(Ω-π)) ) (a) from my professor's solution it next goes: = (π/2) (-δ(Ω+π)+δ(Ω-π)) * ((-δ(Ω+π)+δ(Ω-π)) )...

I have no idea what this box(relay) unit does. Can someone identify this beast and tell me what it does! It is a metal bracket with a lip that has 2 holes in it. On the underside are the electronics, diodes and stuff proteced by a removable box which is fastened to the unit with 2 screws. There...

Homework Statement Find a unit vector orthogonal to A in the plane B and C if A=2i-j+k B=i+2j+k and C=i+j-2k Homework Equations The Attempt at a Solution Im thinking the solution is to take the cross product of B and C. and that would be the solution??

Homework Statement This problem is an already solved one in Marsden and Hoffman's Basic Complex Analysis, but I can't seem to work out the last step. Here's the problem: Suppose a,b,c,d are real and ad-bc>0. Then show that T(z) = \frac{az+b}{cz+d} leaves the upper half plane invariant. Show...

Homework Statement The position on the ground in the xy plane that is hit by the sun given by (x,y)=(3t+tan(phi), -2t+tan(theta)), where t, phi, and theta, are controlled input variables. What is the velocity of the hit point if the input variables are at values (5, pi/4, pi/3) and changing...

Hello everyone, I have a practical problem I am looking to solve. In my tiny 300 sq ft apartment in NYC I have 3 windows with exposure to the East, West, and South. It is very hot. I just purchased an 8000 BTU window unit, so in which window will the unit operate with the most efficiency...

The SI unit "henry" Is a "henry" only produced by magnetic induction, in which case would produced one volt that allows the induction of one ampere per second?

The roentgen (R, also röntgen) is a unit of measurement for exposure to ionizing radiation (such as X-ray and gamma rays), and is named after the German physicist Wilhelm Röntgen. Adopted in 1928[1], 1 R is the amount of radiation required to liberate positive and negative charges of one...

Homework Statement L{2t u(t-1)} Homework Equations L{g(t) u(t-c)} = e^-cs L{g(t+c)} The Attempt at a Solution L{2t u(t-1)}=e^-s L{2(t+1)} L{2(t+1)}=2/s^2+2/s L{2t u(t-1)} = e^-s {2/s^2 + 2/s} i think the whole attempt is wrong , I'm getting confused in this type of...

Hello folks! You may have heard the theory put forth that the explosion at Fukushima Daiichi Unit 3 involved a nuclear reaction, or prompt criticality. There are at least three experts who appear to be supporting this theory. On being Chris Busby, who...

I am learning about the unit circle and I am a bit confused. So, I have my circle drawn with radius 1 and I sketched a right angled triangle inside it so that the hypothenuse has a length of 1. I think what is making me confused is the meaning of sine, cosine and tangent. They are...

Homework Statement which is unit is a unit of electrical power v/a a/ohms a^2/ohm v^2/ohm which unit is= to one joule v/m a(x)v v/c c(x)v thanks- the x is a multiplication sign Homework Equations The Attempt at a Solution

Hi! I am new here and I have come to feed and develop my curiosity in mathematics and sciences. School is not enough I guess... The ALU is the part of the CPU in which every instruction is executed, right? But I don't understand, the OS itself is a software in machine language, it is...

Homework Statement Unit cell of a crystal lattice is a parallelepiped spanned by the vectors u, v, w vectors have lengths of 1, 2 resp3 (le). angles between the vectors is [u, v] = pi / 4 [u, w] = pi / 3 [v, w] = pi / 6 Determine the volume of the unit cell. Homework Equations How do...

I have a simple question: can we assume that a photon is the basic unit of information? And the photon movement is the information flow? It seems strange, but wherever I try to find anything about information flow basics, there is no mention about photons. Shannon's or Mazur's information...

When you are modelling elements like tubes, the local x-axis is defined along the tubes length. If a unit vector for the z-axis is not applied, modelling softwares defaults to a coordinate system where the local zx-plane is parallel with the global zx-plane. I'm not sure what that means...

If I have units with degree Fahrenheit in the denominator can I cancel it with degree Rankine without a problem? Or do I need to use F + 459.xx to clear it? does 1/F cancel with R? I believe 1/F and R can cancel one to one, right...

I am now working on designing an simple hydraulic circuit and is finding a suitable radiator for the circuit. I found a manufacturer (American Industrial Heat Transfer Inc.) providing the equation as follow: Cooling Power (kw/’C) = [Heat Generated(kw) x Cv ]/[Fluid Exit Temp. – incoming...

Hello, :wink: I see for micro the Greek symbol μ - mu - is used. Then why don't it pronounced mu volts etc. instead of micro volts? Tell me the reason please. Many thanks for this. Cheers

Please find attached a JPEG file ---- that when the lever is pulled down, there will be two actions: 1) the inner tube to the right will move no more than 1 inch and then the remaining effort to pull the lever down to it's "home" position will compress the springs creating the compression force...

Homework Statement f(t) = {0, if t<4 and (t-3)^3 if t\geq4 The Attempt at a Solution I feel like its pretty basic but i can't get it down I have u(t-4)(t-4)^3 Can i change it to u(t-4)^4? Then do i multiply it out and take the laplace? If someone can work it out for me that would...

Hi, Quick question, if anybody has any ideas that would be great. I am looking to allow a few small wires to pass into a hermetically sealed ECU enclosure on a small racecar. How can I allow wires in without compramising the fact its meant to be hermetically sealed (at least IP66)...

hi, i have trouble in understanding the concepts of the impulse response first of all, let's assume that we have a signal y[n] = x[n] which is time invariant and linear, hence if I understand correctly linear means that if for input a*x1[n] we have an output a*y1[n] b*x2[n] we...

How can I convert the voltge measured across a photodiode to light output or intensity or any other photonic unit? I am trying to measure the light intensity/output of some LEDs using a photodiode but the photodiode measures voltage as a function of light intensity.

I am trying to teach myself DSP, owing to bad lecture notes. In particular at the moment I'm trying to calculate impulse responses for LTI systems, given the system equation. I would really appreciate it if someone could tell me if my working and assumptions below are correct for the following...

Homework Statement For a material the stress is defined by the means of the stress matrix O O = (6 1 -2 1 2 2 -2 2 5) Expressed in MPA It can be derived that the principe stress are: O1= 4-sqrt(13), O2= 5 and O3=4+sqrt(13) I know you can derive the principal...

unit conversions!help! Homework Statement How do I convert Kilojoules to gallons? Homework Equations KJ to J to kg to g to L to gal The Attempt at a Solution I have 2.258 KJ (1000J/1) 2258 Joules. I am stuck here. How do i get from Joules to kilograms??

Hello Everyone, I have a small question bothering me. I wan to know whether the nabla operator has a unit? I am thinking it does and it should be 1/m. I just want to make sure whether this is true. Thanks! Jimmy

Homework Statement Its not homework anyway: I'm asked to find the solution to the differential equation: i'' + 2i = f(t) i'(0)=i(0)=0 f(t) = u(t-10) - u(t-20) Unit step function (I've found in part a of the question) Then I've gotten: \mathscr{L}(i) =...

Homework Statement Question 3 (a)A long metal cylinder of radius a has the z-axis as its axis of symmetry.The cylinder carries a steady current of uniform current density J = Jzez. Derive an expression for the magnetic field at distance r from the axis,where r<a. By resolving the...

Find h[n], the unit impulse response of the system descrived by the following equation: y[n]+3y[n-1]+2y[n-2]=x[n]+3x[n-1]+3x[n-2] Can this be rewritten as?(n-->n+2) y[n+2]+3y[n+1]+2y[n]=x[n+2]+3x[n+1]+3x[n]

Homework Statement a particle with charge -2.00 C initially moves at v = 1.00 i^hat + 7.00 j^hat. If it encounters a magnetic field B = 60.00 k^hat T, find the force on the particle Homework Equations F = Q (v x B) The Attempt at a Solution I set up a matrix to find the cross...

Homework Statement let f be the function defined in the region |z|<1 , by f(z)=z^5. prove that f is uniformly continuous in |z|<1...where z is a complex number Homework Equations The Attempt at a Solution

Homework Statement find the Fourier transform of complex exponential multiplied to a unit step. given: v(t)=exp(-i*wo*t)*u(t) Homework Equations ∫(v(t)*exp(-i*w*t) dt) from -∞ to +∞ The Attempt at a Solution ∫([v(t)]*exp(-i*w*t) dt) from -∞ to +∞...

Homework Statement A uniform beam, supported by a uniform strut, is loaded as shown in Figure (Attached). Using the unit load method, determine the value of the vertical deflection at C. BEAM: E = 205 kN/mm2, I = 90 x 106 mm4. STRUT: E = 205 kN/mm2, A = 1500 mm2. Homework Equations...

unit step function u(t) does not contain any transient signal

1. Show that S:= {(x,y)an element of R^2 : x^2 + y^2 =1} is connected. 2. Relevant theorems 1. Path-connected implies connected. The Attempt at a Solution Define f: [0,2pi] --> R^2 by f(x) = (cos(x),sin(x)). This map is continuous, and its image is S^1. The interval [0,2pi]...

Ok- I am teaching trigonometry to low level students right now and I am trying to figure out why they need to know the unit circle. Are there some interesting things they can learn about by using a unit circle? So far, we pretended it was a magic-barbie-sized-half-underground-ferris-wheel...

What is the laplace transform of a function that is 1 from 0 to 10 and 0 elsewhere? I know that this can be represented by the step function U(10-t)U(t)...but how do i find the laplace transform of this?

So in this engineering course I do at my university called Statics, we often use a unit of lb per ft as a unit of force when calculating moments. However, I was just watching an episode of Big Bang Theory when Sheldon said something about a common mistake being when people use lb per ft as a...

How is the distance between any two layers in a FCC unit cell equal to a/√3, where a is the edge length? I think it should be a/2 because the distance of a face centered atom from any 4 edges surrounding it is a/2. Can someone explain it geometrically?

Hey guys, do any of you know of a transmitter/receiver device that can let you know the distance between them? I really need some help fast and would really appreciate it!