UNIT is a fictional military organisation from the British science fiction television series Doctor Who and its spin-off series Torchwood and The Sarah Jane Adventures. Operating under the auspices of the United Nations and initially led by Brigadier Lethbridge-Stewart, its purpose is to investigate and combat paranormal and extraterrestrial threats to Earth. Several UNIT personnel (such as the Brigadier, Sergeant Benton and Mike Yates) played a major role in the original Doctor Who series, and it was a regular feature from The Invasion (1968) until The Seeds of Doom (1976).
Originally referred to as the United Nations Intelligence Taskforce, executive producer Russell T Davies said in 2005 that the UN was no longer happy to be associated with the fictional organisation and the UN's full name could now no longer be used. However, the "UNIT" and "UN" abbreviations could be used as long as it was not explained what the letters stood for. In 2008, he announced that the organisation's name had been changed to the Unified Intelligence Taskforce. This new name was first mentioned on-screen in "The Sontaran Stratagem", also in 2008, in which it was indicated in a line of dialogue that the United Nations still supports UNIT with funding.
Is there a singular, smallest unit of gravity between 2 objects? For example, is it possible that a speck of dust on Earth, and a speck of dust on the opposite side of the universe, in the farthest away galaxy will have no gravitational attraction to each other? Or does the gravity will always...
Homework Statement
Determine the behavior of convergence on the unit circle, ie |z| = 1 of:
Ʃ \frac{z^{n}}{n^{2}(1 - z^{n})}
Homework Equations
Obviously this is divergent then z is a root of unity. The question is what happens when z is not a root of unity.
The Attempt at a...
Consider the sequence (n) n=1 to infinity. Plot the sequence on the unit circle: n modulo 2*pi for n≥1. What do you see?
Attempt:
I really honestly have no idea what to do. We are learning in class about limit laws and how to prove them, so this question seems to be coming out of nowhere. :(
Physically/conceptually, I understand why the unit normal vector will always point toward the side of concavity on a curve. It's because the unit normal's direction is the derivative of the unit tangent, and the unit tangent's change in direction is always toward the concave side.
But how is...
Knowing the atomic weights of Na+ and Cl- are 23 and 35.5, respectively, calculate the density (g/cm^3) of NaCl crystal. Hint: Avogadro’s number N = 6.02 x 10^23 is the number of atoms in one mole (weight of 1 mole = atomic weight in grams)
unit cell is Face centered
unit cell contains a...
I know how to obtain the unit tangent, it is very easy. But for the case of unit normal, I am confused.
Usually we need to know \vec{T'}(t) and |\vec{T'}(t)|
in order the find \vec{N}(t).
However are there any quicker method to do it? Since I saw the textbook do it without step, it seems...
Hi,
I am building control panel for automation testing unit.
- Ambient Temperature to measure:-
- pulley speed and temperature to measure.
So far...
for Ambient Temp I have used T-Type and for pulley speed I have used magnetic pick up 10V. And for interfacing used USB6009.
Can...
As the usual argument goes, as I understand it, everything can be expressed in units of G, h and c. (though this argument exclude the particle masses from consideration.)
The permittivity of the vacuum seems to be independent of G,h,c. Am I wrong?
Homework Statement
Currently, I'm expected to find the side length of a square garden whose area is 25cm2. Of course, we're talking about a square here, and since the area of a rectangle is l * w, and, when talking about a square, l = w, the area of a square is S2. Of course, I know each side...
So I usually use VESTA to make my figures, and though the new version is able to do many mad things with calculated electron density isostructures and whatnot, I can't seem to just be able to throw in some clover-leaf d or p orbitals like what was done in the image below (from this paper on...
Homework Statement
use unit vectors to express the vector C where C=3.00A-4.00B
the answer is apparently C=12.0i + 14.9j
Homework Equations
cross product
The Attempt at a Solution
i have no idea where to even start how is it possible to find the i orj because i don't even know...
Homework Statement
Compute the maximum amount of water vapor per unit volume that air can hold at the surface, where Ts = 288 K, and at a height of 10 km where T = 220 K. Express your answers in kg m-3.
Homework Equations
e_{s}=Ae^{\beta T}
e=\rho _{v}R_{v}T
The Attempt at a...
Hello. :smile:
I understand most of the work involved with these types of questions, but there is one point in an example I'm following that I don't understand.
Homework Statement
Evaluate:
I = \int{(z^2)}dS over the positive quadrant of a sphere, where (x,y > 0).
Homework...
Homework Statement
Impulse is defined as: force x time
a) Find its unit expressed in term of the base units.
b) What quantity has the same unit?
What could it mean? (Impulse = change in momentum)
Homework Equations
I = F x T
P = mv
The Attempt at a Solution
a) First, we...
Vitamin E (alpha-d-tocopherol) has been shown to prevent creeping arterial occlusion*, increasing cerebral circulation and decreasing the risk of ischemic strokes at a minimum effective dose of 100IU/day**. As a blood thinner (anti-coagulant) it has been shown to increase the risk of hemorrhagic...
In rectangular corr. 3i+j mean leght in x-direction =3 in y-3direction =1
However, how about in polar coorindate?
3r+1\theta (r and \theta are the unit verctor in polar coor., I don't know how to type it out, I hope you understand.)
Dose it mean a line with length 3 from origin and angle...
Homework Statement
Draw the following vector. Label the angle that specifies the vector's direction, then find its magnitude and direction.
Homework Equations
vector a = 2.0i - 6.0j
The Attempt at a Solution
I get stuck here:
I don't know which angle to use.
Homework Statement
Given: P=(1,-2,3), Q=(-4,2,5) and S=(2,1-4)
Find a unit vector that is perpendicular to triangle PQS
Homework Equations
Cross and Dot Product
The Attempt at a Solution
Correct me if I'm doing wrong. I have two solutions that I've thought:
1)What I...
Homework Statement
Let A be an arbitrary vector and let n be a unit vector in some fixed direction. Show that A=(A.n).n+(A*n)*n
Homework Equations
The Attempt at a Solution
I know that (A.n).n gives component of arbitrary vector, assume that it equals to Ax
Hello,
am having an understanding problem, about an exercice on LTI systems with unit sample response.
i've been given the graphical depicted output y[n], and the following output x[n]= u[n]-u[n-2]
the system is as follow
x[n]----> h1[n]----->h2[n]------>y[n]
with h2[n]= s[n] - s[n-1]...
I'd like to know how to do it without solving via Hermite polynomials, so that I can check by both methods when I solve other problems. I have tried to figure out myself but I need some help.
Let's say H:=x^2+p^2 , and a:= x-ip .
So that [a,a^+]=2\hbar , H a \varphi_i = (E_i -...
Homework Statement
okay i don't have the exact problem in front of me right now but it went something like this: they gave the force, F, which equaled 500 N. for part a they said to express in terms of a magnitude times a unit vector. for part b they wanted the force expressed in orthogonal...
Why is the kilogram the base unit of mass, instead of the gram?
http://en.wikipedia.org/wiki/Cgs_system_of_units" explains the replacement of the cgs- (centimeter-gram-second) by the mks-system (meter-kilogram-second) by: "The values (by order of magnitude) of many cgs units turned out to be...
Some help with Si Unit conversions :)
Homework Statement
762 Mg/m to ng/µm
Homework Equations
Si unit conversions
The Attempt at a Solution
How do I know where to place the variables? Can someone give me a tut or written explantion on how to do this?
Hi all, I'm trying to build a transformerless converter unit, that will take an input of 240v a.c, and will output 12v d.c. I used a voltage divider to get a 16v from the a.c supply of 240v and connected my rectifying circuit across the 16v. I got an output of 14.59v. But on connecting the...
Homework Statement
Consider the following vectors:
a = (5.0m) i + (2.0m) j
b = (-14m) i + (6.0m)j
Sum of a+b in unit vector notation?
Homework Equations
The Attempt at a Solution
I'm not sure about this notation, all I know about adding vectors is graphically. Does (5.0m)...
[SOLVED] Ideal gas unit conversions
Homework Statement
The ideal gas constants used in this text are typically mass-based: kJ / (kg*K). It is more useful to have them in units of kJ / (kmol*K). How to convert them using data from this text?
Homework Equations
The Attempt at a...
Hello everybody
Normally you say that the unit of torque is Nm but could also be (Nm)/°.?
I'm claiming this because of the fact that you normally do not give radians any unit, and that is why you just write Nm and not (Nm)/rad.
SI claims that: "torque may be thought of as the cross...
Homework Statement
there is a surface xy3z2=4. What is the unit normal to this surface at a pt in the surface (-1,-1,2)??
Homework Equations
what is a unit normal to a scalar region? how can it be calculated?
The Attempt at a Solution
i calculated the gradient (del operator) of...
Let's say I have 4163 kJ/mol of energy coming from a substance with molar mass 86.14g/mol. How would I convert the 4163 kJ/mol of energy to kJ/litre?
Thanks.
So I've been reading about orientated surfaces lately, and I always see the definition that a surface S is orientable if it is possible to choose a unit normal vector n, at every point of the surface so that n varies continuously over S.
However, what does "varies continuously" mean? I never...
Homework Statement
Let z1; z2; z3; z4 be four complex numbers on the unit circle (i.e., |z1|=|z2|=|z3|=|z4|=1).
It is known that z1+z2+z3+z4=1+i . Find the value of
1/z1
+
1/z2
+
1/z3
+
1/z4
Homework Equations
1/z = barZ/|z|^2
The Attempt at a Solution
I've been trying for about a day now...
Hi to all experts!
I know individually about primitive cell("It has lattice point at corners only") and unit cell("It has lattice point at corners as well as at center if bcc or at faces if fcc or at bases if it is base centered")
Are these right?
But I don't know what is Wigner-Seitz cell...
Homework Statement
Find the maximum and minimum value of the function, defined over x2 + y2 + z2 \leq 1.
x \geq 0, y \geq 0, y \geq 0.
Homework Equations
f(x,y,z) = xy(z+1)
The Attempt at a Solution
\nablaf = (y(z+1), x(z+1), xy) = 0
Gets me (0, y, -1), (x, 0, -1), (0, 0, z) and...
Hello everyone,
I represent an iron & steel manufacturing industry which runs on electricity. Currently our electricity consumption is 1,000,000 units/month @ 5.5 INR/Unit consumed along with maximum kVA reached during the time of manufacturing of product which is affecting the costing of...
Homework Statement
Solvinf the unit time step equation mathematically.
Homework Equations
x(t) = u(t+1) - 2u(t) + u(t-1)
The Attempt at a Solution
How can i solve this signal mathemtically :( and using plotted signals , i couldn't understand,
here is my approach and I'm...
I am using an equation that states that critical sonic velocity is:
a_{cr}=\sqrt{\frac{2\gamma}{\gamma+1}gR_{gas}T'}
The units should result in velocity (\frac{m}{s})
Yet, when I do the unit reduction I do not get that answer.
Here is what I get:
Lets ignore the square root for now.
Also...
Homework Statement
"The gravitational constant G is 6.67*10^-11 m^3*s^-2*kg^-1. What is G in units of cm^3*s^2*g^-1
Homework Equations
1kg = 1000g
1m = 100cm
The Attempt at a Solution
I don't understand how the dimension can change from [L^3,T^-2,M^-1] to [L^3,T^2,M^-1]...
Homework Statement
That is what I learnt, and that it is expressed in Newton*meter.
Then I learned that
G is equal to 6.47 x 10^ -11 joules and that
h is equal to 6.6262 x 10^ -34 joules x sec (N*m*s)and that
one photon of light (say red) is equal to 4x 10^ 14 Hz(frequency) and its...
I have one differential equation like
dN/dt=c*(other terms with no unit)
unit of c is 1/ns. Now if I solve this equation, I will get value of N corresponding to t.
(1) Then what will be the unit of t?
(2) and if I calculate dN/dt1=(other terms with no unit). where t1=t/c.
Then what...
I have always been critical of the idea of Planck units. They seem to be something conjured from numerology - particularly in view of the fact that it is possible to arrive at diffeent values of the so called fundamental dimension(s) by combiing different constants. But I recently had reason...
Homework Statement
The graph shows the vector-valued function r(t). It is given that r(1) = <-1,1> and r'(1) = <1,2>. Find the unit tangent vector T(1) and unit normal vector N(1).
(the graph given is that of y = x^2 shifted 2 units left.)
Homework Equations
(1) T(t) =...
Largest Unit of Heat Energy?
Which of the following is the largest unit of heat energy: (a) calorie, (b) Btu, (c) joule, or (d) kilojoule.
I narrowed it down to kilojoule or btu. I think it is btu.
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...