What is Unit: Definition and 1000 Discussions

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.

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  1. V

    Finding Orthogonal Unit Vector to 3 Vectors

    I'm having difficulties solving this. For finding a unit vector that is orthogonal to two unit vectors I understand we use the cross product and such. However, I am confused about how to approach this problem as it has a third vector. We can let x = (x1, x2, x3, x4) be a vector orthogonal to u...
  2. Haorong Wu

    I How to Change Between Unit Systems w/ ##c \ne 1, \hbar \ne 1, G \ne 1##

    If we use the nature units or the geometrized units, how could we transfer the final result back to the normal units with ##c \ne 1, \hbar \ne 1, G \ne 1##? I know I coule analysis its dimension to multiply them back. But what about other units system? For example, in a recent paper, the...
  3. D

    Engineering Finding the reaction force using the unit load method

    I just wrote down what I think and have no idea of it...please help me with this question
  4. D

    Engineering Determine deflection and deflection angle using Unit Load Method

    relevant equations: My questions: (1)Not sure whether I did correct especially for the deflection angle (2)The limit taken for calculating defection Yc , I didn't understand why is from 0 to L/2 instead of the sum of 0 to L/2 and 0 to L, how is the limit determined? Kindly advise, thanks
  5. E

    Question about Powering a lighting unit: 14 VDC @ 3.2A / 28VDC@ 1.6A

    New to electricity so take it easy on me... I have a light unit: 14 VDC @ 3.2A / 28VDC@ 1.6A 2 questions: I was curious to see if a 9V Duracell battery will power it up: and it turned it on but I noticed my battery head bubbled up. From my understanding correct me if I am wrong on a 9V...
  6. greg_rack

    Calculating vector cross product through unit vectors

    Writing both ##\vec{U}## and ##\vec{B}## with magnitude in all the three spatial coordinates: $$ \vec{U}\times \vec{B}= (U_{x}\cdot \widehat{i}+U_{y}\cdot \widehat{j}+U_{z}\cdot \widehat{k})\times (B_{x}\cdot \widehat{i}+B_{y}\cdot \widehat{j}+B_{z}\cdot \widehat{k})$$ From this point on, I...
  7. I

    Converting Units to Find Density of Unit Cell

    I don't understand the ratio [ 1 g / 6.02*10^23 amu] in the following conversion factor: [228.2 amu / 4.75*10^(-23) cm3] * [ 1 g / 6.02*10^23 amu] = 7.98 g/cm3 (This calculation is in a problem where you're finding the density of a unit cell in g/cm3 - though it has nothing to do with the...
  8. WhiteWolf98

    Calculating Discharge Rate of Fluid in Circular Area

    This is actually right at the start of another derivation, but I can't understand how the author gets the formula for ##q##. So the discharge per unit thickness is the circumference of the circle, multiplied by the velocity at that point (at ##r##)? I thought the formula for flow rate was...
  9. L

    I Converting "Luminosity per unit wavelength" to "Luminosity per unit frequency"

    If there is a luminosity per unit wavelength defined as L_λ dλ, am I correct in thinking that the conversion to luminosity per unit frequency (L_ν) would be L_ν = L_λ (λ^2/c)? And building off of that, if the shape of a spectrum was proportional to a power-law: L_λ = λ^(β), is there a way to...
  10. S

    B Why does the radius of a unit circle need to be 1?

    Why is it that the radius of the unit circle is 1?
  11. Fouzan Alaa Almassry

    B What does the unit "Js" of the Planck constant mean?

    what means unit j.s in plank constant As Planck's constant is the smallest unit of energy so what this unit j.s
  12. jaychay

    MHB Find Point D on Plane for 4 Unit Cube Pyramid

    Find point d on the line of r(t)=(0,0,0)+(−1,1,1)t which make the triangular pyramid abcd has the volume of 4 unit cube when a(0,0,0),b(1,0,1),c(0,1,0) are the points on the plane of −x+z=0.
  13. L

    HVAC Efficiency of a homemade Air Conditioning unit

    Hi guys, I used to post on here quite a bit back in 2005-2007 when I was studying Physics in school, I remember it always being a great resource so hopefully I can get some similar help with this "real life" problem I'm having now! We are having a mini-heatwave here in the UK the last few...
  14. O

    I Converting Unit Cell Volumes of Minerals to Density

    I'm modelling the interiors of core-dominated (exo)planets. The EoS I use in my calculations are mostly either a Birch-Murnaghan formulation or a Mie-Grüneisen-Debye formulation. In either case, the ambient density ρ0 at ambient pressure and temperature are required for the implementation...
  15. M

    A Can the Unit Interval be Measurably Split into Two Sets of Equal Length?

    Can the unit interval be split into two measurable sets (A and B each measure 1/2), so that for any sub-interval [c,d] the intersections ##A\cap [c,d]## and ##B\cap [c,d]## each measure half the length of [c,d]? I doubt it, but I would like to see a proof, one way or the other.
  16. H

    I Mass Unit in General Relativity

    James Clerk Maxwell deduced that the unit of mass has the dimensions of (L^3)(T^-2). But he assumed Newton's Law. What would it be under general relativity?
  17. Mahfuz_Saim

    What will be the number of collision per second in a unit area?

    By using PV=nRT formula, I have found the volume of the vessel. As far as I have learned to calculate the number of collision in a unit volume. So, it is being difficult for me to find the right way to solve. I searched on the internet and have got this...
  18. E

    B The length of a unit vector?

    A unit vector, ##\frac{\vec{v}}{|\vec{v}|}##, has dimensions of ##\frac{L}{L} = 1##, i.e. it is dimensionless. It has magnitude of 1, no units. For a physical coordinate system, the coordinate functions ##x^i## have some units of length, e.g. ##\vec{x} = (3\text{cm})\hat{x}_1 +...
  19. coreanphysicsstudent

    Rational power of the imaginary unit

    but the real answer is −1, (1±i√3)/2 What's wrong with my solution? please help me through.
  20. PainterGuy

    I Ω=0 and its magnitude for a unit pulse

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  21. D

    How Can I Solve Question Type: "With Magnitude and Unit Vectors"?

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  22. M_Abubakr

    Wave dispersion in 2D Unit cell subjected to a periodic boundary

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  23. E

    New unit of mass in a different system of units....

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  24. bagasme

    Why Isn't Horsepower an SI Unit, Despite Its Popularity?

    When we talk about engines on automotive industry (cars, motorbikes, trucks, etc.), we often refer the power produced by such engines by horsepower. But when we talk about electricity, the power is measured in kilowatts. Despite the former case is highly popular, why isn't horsepower considered...
  25. benorin

    I I need a mapping from the unit Hypercube [0,1]^n to a given simplex

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  26. garthenar

    Fixing Error: (vlog-7) Failed to Open Design Unit File

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  27. AbdullahS

    Is Replacing a 25 kVAr Unit with Two 12.5 kVAr Units More Efficient?

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  28. R

    B A doubt on the fundamental unit of charge

    "a charge smaller than e has not been found. if one determines the amount of charge on any charged body like a charged sphere or charged drop) or any charged particle (like positron, a-particle) or any ion, then its charge is always found to be an integral multiple of e, i.e., e,3e; 4e,... No...
  29. chriscarson

    Unit conversions involving Pascals

    Summary:: Pascal units digits Do somebody have a chart that converts pascals , mega pascals etc to units to know how many digits or zeros there are after the point please ? Thanks
  30. Piotrovskiy Yury

    B Kelvin - not the basic, but the derived unit of measurement?

    1. Kelvin - not the basic, but the derived unit of measurement? Modern physics believes that kelvin is the basic unit of measurement of SI (one of seven). At the same time, in all encyclopedias and textbooks it is written: T= Θ/k = Θ /1,380649x10е-23 Θ - is the energy of the molecule in...
  31. Saptarshi Sarkar

    A particle of unit mass moves under the action of force F=-k²/x³ ....

    I tried solving the differential equation by integrating both sides wrt t but this does not work out and I am doing something wrong. How do I integrate such an equation properly? d²x/dt² = -k²/x³ => dx/dt = -k²t/x³ => x = -k²t²/2x³ + d
  32. T

    Finding the magnitude of the hydrostatic force per unit of circumference

    Hello all I am trying to find the hydrostatic force of a cylindrical tank of water. I was hoping someone could help point me in the right direction. I have a cylindrical water tank. The dimensions are as follows:- I need to find the magnitude of the hydro static force per unit of...
  33. H

    Unit of Velocity from a Random Walk measured by an accelerometer

    Hi, I am working on a kalman filter where my measurement equation involves "-g + v" , where g is in m/s^2 and v is velocity random walk given in m/s/sqrt(hr). Feels like a stupid question, but how can I transform the unit of velocity random walk so I can do the calculation correctly?
  34. Kaushik

    Find the force acting per unit width on the vertical wall

    A container of height 3m and width 5m is filled with water upto 2 m. It is accelerated such that the water is at the brim (it is about to spill). When it moves with this acceleration find the force acting per unit width on the vertical wall. I found the acceleration for the condition provided...
  35. M

    What's the integral of a unit vector?

    So I'm trying to figure out the integral of phi hat with respect to phi in cylindrical coordinates. My assumption was that the unit vector would just pass through my integral... is that correct? (I reached this point in life without ever thinking about how vectors go through integrals, and...
  36. T

    What Does Unit Weight (kN/m^3) Mean?

    Hello This is a really silly question but I have doubted myself and I was wondering if anyone could help. I have been given the following information:-I am trying to understand what it means when the title states Unit Weights? I thought these were density but density is kg/m^3 - whereas these...
  37. A

    I Meaning of each member being a unit vector

    Summary: Meaning of each member being a unit vector, and how the products of each tensor can be averaged. Hello! I am struggling with understanding the meaning of "each member is a unit vector": I can see that N would represent the number of samples, and the pointy bracket represents an...
  38. C

    I Why is this unit used in graphs; keV/amu ?

    I see various graphs in papers about atomic collisions in units showing "keV/amu". Why is this unit used, why not just "keV" when, presumably, it is the overall keV of an atomic collision that is important?
  39. O

    What's the use of unit vectors?

    Homework Statement: Hallo. Can somebody explain to me what's the importance-use of unit vector in the below (second) equation? Why isn't the first equation just enough to describe r? What's the reason for unit vector to even exist? Homework Equations: in the photos
  40. CricK0es

    How can I evaluate the power produced by a WEC unit? (wave energy)

    I'm currently researching if I could implement some wave energy into my small scale hypothetical project. I've identified some commercial models, namely Seabased and SINNPower, and I assumed that they would have approximate values of power output given wave period, height (among many other...
  41. P

    I Primitive unit cell (Diamond)

    Hi guys , I want to construct a primitive unit cell for diamond, which is made of a fcc lattice and a basis of 2 carbons atoms. I know that a primitive unit cell isn't unique but the two variants I get are drastically different . As far as I can see they both include 2 whole atoms/points in the...
  42. lboulden

    Unit vector notation, why use 3 letters for a component?

    .
  43. T

    Utilizing Fan Coil Unit return to fullfill fresh air requirements

  44. D

    I How to know if a complex root is inside the unit circle

    Hi. I have been trying to calculate the real definite integral with limits 2π and 0 of ## 1/(k+sin2θ) ## To avoid the denominator becoming zero I know this means |k|> 1 Making the substitution ##z= e^{iθ}## eventually ends up giving me a quadratic equation in ##z^2## with 2 pairs of roots...
  45. PainterGuy

    MATLAB Approximating the inverse FT of a unit pulse using a Riemann sum

    Hi, Although I'm using trigonometric form of Fourier transform, first I'd discuss both, exponential and trigonometric forms, for the sake of context. Now proceeding toward the main question and we would only be using trigonometric form. % file name...
  46. torito_verdejo

    Advantages of Polar Coordinate System & Rotating Unit Vectors

    What is the advantage of using a polar coordinate system with rotating unit vectors? Kleppner's and Kolenkow's An Introduction to Mechanics states that base vectors ##\mathbf{ \hat{r}}## and ##\mathbf{\hat{\theta}}## have a variable direction, such that for a Cartesian coordinates system's base...
  47. hilbert2

    Complex polynomial on the unit circle

    So, the values of polynomial ##p## on the complex unit circle can be written as ##\displaystyle p(e^{i\theta}) = a_0 + a_1 e^{i\theta} + a_2 e^{2i\theta} + \dots + a_n e^{ni\theta}##. (*) If I also write ##\displaystyle a_k = |a_k |e^{i\theta_k}##, then the complex phases of the RHS terms of...
  48. Mcp

    Why is a Hexagonal Prism Used as the Unit Cell for 3D HCP?

    My textbook states that all the 14 bravais lattices have one of the 7 types of parallelepiped (7 crystal systems) that can be used as an unit cell. However in case of 3D HCP textbooks don't talk about this parallelepiped, rather they consider a hexagonal prism as the unit cell. Why is it so...
  49. A

    Normal Velocity Gradient Across a Surface: Proving a Result

    I have came across a problem where each point of a surface parallel to the x-y cartesian plane and having it's normal along the z axis is having velocity along the z direction ##v_z## and there exists a velocity gradient across the plane (e.g ##v_z(x,y)## , After time ##\delta t## it is written...
  50. C

    MHB Unit of Ring Question - Cbarker1

    Dear Everyone, I am having trouble with an exercise problem. Here is the problem: Dummit and Foote Ed.2 pg 231: "Let $R$ be a ring with 1. Prove that if $u$ is a unit in R then so is $-u$." My Attempt: Suppose $u$ is a unit in $R$. Then, from Prop 1 (4) (if $R$ has an identity, then the...
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