What is Magnitude: Definition and 1000 Discussions

An order of magnitude is an approximation of the logarithm of a value relative to some contextually understood reference value, usually ten, interpreted as the base of the logarithm and the representative of values of magnitude one. Logarithmic distributions are common in nature and
considering the order of magnitude of values sampled from such a distribution can be more intuitive. When the reference value is ten, the order of magnitude can be understood as the number of digits in the base-10 representation of the value. Similarly, if the reference value is one of certain powers of two, the magnitude can be understood as the amount of computer memory needed to store the exact integer value.
Differences in order of magnitude can be measured on a base-10 logarithmic scale in “decades” (i.e., factors of ten). Examples of numbers of different magnitudes can be found at Orders of magnitude (numbers).

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  1. M

    Engineering Magnitude versus Frequency Response Drawing from Pole-Zero Plot

    Hi, EDIT: apologies for any ambiguity, but this is for DISCRETE systems, not analogue like the problem states. I was attempting a problem which is shown below . I am not really sure how to attempt this problem, but here is my attempt. Are there general methods for tackling these types of...
  2. P

    MHB Calculating the Magnitude of Edges for 11x11 Pixel Image

    Hello guys, if I have an image with 11x11 pixels and in the center of the image is a square of 5x5 pixels, with the gray level of the background 0 and the gray level of the square is 50. How can I compute the result of the magnitude of edges(intensity of the contour) given by the compass...
  3. Mikkel

    Measure the distance to a star using magnitude and extinction

    Hello, I'm struggling with this question A star is observed close to the center of the Milky Way and from its spectrum we find that it is a type A3 star. Its observed magnitude is m_v = 25. There is only a diffusive gas between us and the star, so we can assume an extinction, of 1 magnitude per...
  4. aatari

    Find the Magnitude of Average velocity using the given vectors

    Hi Guys I've attempted the question but not sure if the approach I used is correct. Would someone please have a look at my solution and let me know if it makes sense. Thanks!
  5. GuthrieF

    Three phase systems - current magnitude

    so far on this question i have calculated the phase voltage as 415 Volts using by multiplying the line voltage by root 3. i know how to calculate (d) but am struggling with finding the equations to satisfy
  6. L

    I Are AB and ST Magnitude Systems Interchangeable?

    Are the ST and AB magnitude systems equivalent? In other words, should they give the same value for a particular luminosity per unit wavelength? If not, is there an explicit conversion between the two?
  7. cjedow

    Magnitude of an Impulse and Plotting it? (What am I doing?)

    I wrote: J = m(2/3)v0 - mv0 for part a but I'm not sure if that's correct or if I need something else? I have no idea how to do part b. I wrote F * t = m(2/3)v0 - v0 but I honestly don't know what I'm doing.
  8. G

    To find the magnitude of the resultant of forces around a triangle

    Could I please ask for advice with the following: ABC is a right-angled triangle in which AB = 4a; BC = 3a. Forces of magnitudes P, Q and R act along the directed sides AB, BC and CA respectively. a) Find the ratios P:Q:R if their resultant is a couple. b) If the force along the directed line...
  9. P

    Magnitude and direction of current

    I am struggling with the angles. Since the conducting wire is moving down for it to be stand still, the force should be opposing it, hence the current should be from Right to Left. I am confident of the Force direction and its value is if ## I ## is the current ##F = ILB (N)## since L and B...
  10. P

    Find the magnitude and direction of the Magnetic field required

    i tried to draw the directions of the parameters The direction of B is clear since then the Force will be in the positive X direction. I am bit confused with the direction of Force, how would i draw it and the components. Is the gravitational force i have drawn is correct? Do we have better...
  11. S

    I Magnitude limits for active galactic nuclei

    Milky Way centre cannot be seen because of Great Rift, but it is known as a loud radio source Sagittarius A since 1930s. What would be the absolute magnitude of Sagittarius A if it could be seen? Visual magnitude? Not all galaxies have loud centres. Large Magellanic Cloud does not show a sign...
  12. Lucy_1192

    I Are Intensity and Magnitude independent of the radius of a star?

    For a star.. Apparent Magnitude = -2.5log10 I K And I = I0/d^2 So in terms of I0... Apparent Magnitude = -2.5log10 (I0/d^2) And the Stefan-Boltzmann law says: Energy Flux = Sigma(T^4) In my reading it says that Intensity is the energy emitted per unit of area per unit of time. It says the same...
  13. S

    Product of two magnitude of vectors

    I don't really know where to start. Trying to use cosine rule but failed because no information about angle. Thanks
  14. astroYEEET

    Mass, luminosity and magnitude of a galaxy

    So i first calculated the angular area of the galaxy. a=22.6'' and a/b=0.85 => b = 26.588''( btw I do not know why a/b =0.85 since b is the semi minor axis). Then the area of the elipse is a*b*π =1887.745''. Then using the first equation we get an apparent magnitude of m=16.511. Using the second...
  15. H

    I Estimate the magnitude of a line integral exp(iz) over a semicircle

    Not homework, just trying to understand a statement in the book. On page 158 in Fisher, the following statement is made: In these applications of the Residue Theorem, we often need to estimate the magnitude of the line integral of e^{iz} over the semicircle = Re^{i\theta}, \; 0 \le \theta \le...
  16. G

    Confusion on the magnitude of magnetic fields

    Here, the correct options are A,D. Solution: I got A as answer as ∫ B.dl=µI. But, the answer to the question says that it is a solenoid and therefore Bx=0 for point P. Here I'm a bit confused. I know this system resembles a solenoid in some ways, then By must have some finite value, but...
  17. jamiebean

    Magnitude of the displacement of a spelunker exploring a cave

    in part a, i tried to draw the scale and tried to determine the magnitude. But I still don't get why is the answer written in that way. in part b: i know that x180/pi calculates the degree, but i don't understand how does this calculates the direction. and i don't understand what's happening in...
  18. PainterGuy

    I Magnitude and phase of the Fourier transform

    Hi, A rectangular pulse having unit height and lasts from -T/2 to T/2. "T" is pulse width. Let's assume T=2π. The following is Fourier transform of the above mentioned pulse. F(ω)=2sin{(ωT)/2}/ω ; since T=2π ; therefore F(ω)=2sin(ωπ)/ω Magnitude of F(ω)=|F(ω)|=√[{2sin(ωπ)/ω}^2]=|2sin(ωπ)/ω|...
  19. PainterGuy

    I Ω=0 and its magnitude for a unit pulse

    Hi, I was trying to find the magnitude of DC signal in a shifted unit pulse signal. The unshifted pulse lasts from -π to π and then it is shifted by π duration. In Method #1 I have used FT formula and ended up with magnitude of 6.2832 for DC signal, i.e. ω=0. In Method #2 I have used Laplace...
  20. D

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

    Hi I am a beginner in this topic. I didn't understand this question type clearly.What does it mean" With Magnitude and Unit Vectors" exactly? May you help me for the solution step by step :). Thanks in advance.
  21. Arman777

    I The magnitude of a four velocity

    I want to clarfiy some ideas, so let us assume an inital observer measures a 4 velocity of an object. ##\vec{u} = (c\gamma_u, \gamma_uu^x, \gamma_uu^y, \gamma_uu^z)##. When we calculate the magnitude of the 4-velocity we get, $$\vec{u} \cdot \vec{u} = -c^2\gamma_u^2 + \gamma_u^2U^2$$ where...
  22. naushaan

    Calculating magnitude of the acceleration of two ocean liners

    This is what I've done so far:
  23. T

    A Magnitude 4-Vector Lorenz Gauge: Klein-Gordon Eq.

    The Klein-Gordon equation is based on the relation (E-eΦ)2-(pc-eA)2=m2^2c2, which is the magnitude of the difference between the momentum four-vector and the four-potential. Since the magnitude of the momentum four-vector is given by E2-p2c2=m2c4, does it follow that the magnitude of the...
  24. Frigus

    Why a force perpendicular to the velocity doesn't change the magnitude?

    As I have shown in the picture even if their is minimal change but shouldn't it increase after a long time as minimal changes will keep accumulating.
  25. 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...
  26. P

    Finding the angle between vectors a and m, knowing the magnitude of m and n

    Summary: Finding angle between vectors a and m, knowing magnitude of m and n, also the angle between m and n with 60 degrees. Using geometry, it looks like the angle is 30 degrees but the answer is suppose to be 54.7 degrees. I'm not sure how to solve this.
  27. olgerm

    I Why spin matrixes number of rows depends of spinn magnitude?

    Why spin-matrixes and spinors have more rows for particles with greater spin (https://en.wikipedia.org/wiki/Spin_(physics)#Higher_spins)? As I understand every row is for 1 spin orientation, but why does number of possible orientations depend of magnitude of spin?
  28. jonander

    I General equation for the magnitude of the difference vector

    Hi everyone, While finding the solution for one of my exercises, I found the following answer. I'm seriously questioning if the equations provided in that answer are reversed. According to my understanding, if two vectors ##\vec{S}## and ##\vec{T}## are parallel (same direction) the magnitude...
  29. brsclownC

    What is the magnitude of resultant force on a car on a banked curve?

    Ok so I think that the equation for centripetal force is the mv^2/r and this SHOULD equal the horizontal component of the normal force on the car. Vertical component of normal force and gravity would cancel out. However, when I input the numbers into the equations I don't get equivalent values...
  30. Abdullah Younas

    Finding the magnitude and direction of a boat's motion

    Homework Statement: A boat is traveling upstream in the positive direction of an x axis at 14 km/h with respect to the water of a river. The water is flowing at 9.0 km/h with respect to the ground.What are the (a) magnitude and (b) direction of the boat’s velocity with respect to the ground...
  31. K

    Color Index and Intrinsic Magnitude of a Star

    I first determined ##E_{U - B}## by using the second equation listed above: $$U - B = (U - B)_0 + E_{U - B}$$ $$8.15 - 8.50 = -0.45 + E_{U - B}$$ Then since the ratio to the B-V color excess is known, I solved for that and obtained ##E_{B - V} = 0.14##. Using the ratio of total to selective...
  32. F

    Why is the magnitude of the electric field in a sphere the same?

    I was looking at a sphere that has a positive point charge at the center of a sphere with radius R. Now, I understand that the electric field is pointing outwards (in the direction of dA), so $$d\phi = EdA$$ However, I am told that since the magnitude electrical field is the same because the...
  33. K

    Magnitude of vertical and horizonal componants

    I'm not too sure where to start, but 6 is the magnitude and (2pi/4) is the angle? So if I were to plot this on a graph I could get the value of the point on the horizontal and vertical axis. I've tried to plot is using graphing software but it wasn't working so I'm not sure if i was doing it...
  34. Shivam

    Calculating Momentum and Energy Conservation in Elastic Collisions

    I know how to solve along x and y-axis but i can't think of how to start solving in the dricection on m1.
  35. karush

    MHB 4-39 magnitude of its velocity after falling 10.0m

    a) what is its speed after falling to 2.00s motion formula $v=u+at$ so $v = 6.00 \dfrac{m}{s} + 9.81 \dfrac{m}{s^{\cancel{2}}}{2.00 \cancel{s}} = 27.6 \dfrac{m}{s}$ b) How far does it fall in 2.00s distance formula $d= ut + \dfrac{1}{2}at^2$ so...
  36. Benjamin_harsh

    How is the magnitude of L calculated here?

    The green dot shows the position of the Earth at the instant the Sun disappears. The distance from the Sun, ##d##, is the Earth's orbital distance and the velocity ##v## is the Earth's orbital velocity. When the Sun disappears the Earth heads off in a straight line at constant velocity as shown...
  37. A

    Deriving the magnitude range of the force F for which van does not tip over

    Okay so I'm not quite sure about the normal reaction forces. The condition is that they are both equal for the sum of frictional forces to be zero but then technically when substituting into the number equations in place of [ n(1) + n(2) ] either 2n(1) or 2n(2) makes me confused as then n(1)...
  38. M

    Magnitude of the Magnetic Field near a Circuit Inclined at an Angle

    For the front wire, I got the magnitude of the magnetic field in terms of the magnitude of the magnetic force, the current, "l," and the "theta". I am unsure how to proceed because I thought that the magnetic force is independent of any other forces. I am also just lost in general. Any help...
  39. R

    Sampling distribution's magnitude variation

    I have generated a distribution (normalized such that the sum is equal to 1) by using the code: M=500; % Number of samples z=1; SUM = 1; ns = rand(1,M).^z; % random numbers TOT = sum(ns); X = (ns/TOT)*SUM; % Re-scaling hist(X(1,:),100) For an exponent ##z=1##, the sampling distribution is...
  40. F

    Engineering Draw the magnitude and phase angle of a voltage in this AC circuit

    My solution is attached below. I am not sure if my answer is correct or not , I want to confirm it.
  41. HRubss

    Determining the final velocity and acceleration magnitude traveling along an arc

    Problem Statement: The motorcycle is traveling at 40 m/s when it is at A. If the speed is then decreased at v'=-(0.05s)m/s^2, where s is in meters measured from A, determine its speed and acceleration when it reaches B. I attached a picture of the problem. Relevant Equations: S = S_0 + v_0(t)...
  42. L

    Usage of absorption and magnitude mode spectra in nuclear magnetic resonance

    In nuclear magnetic resonance, when should one process spectra in absorption mode and when - in magnitude mode? What is benefit of using the first one and the second one? For example, I need to integrate spectrum. In this case, what should I use - absorption or magnitude mode?
  43. Benjamin_harsh

    Why taking angle 110 instead of 70 for finding the magnitude of F2 in X and Y components?

    F1x = 120. Cos 300 = 103.92 ; F1y = 120.sin 300 = 60N F2x = 150.cos 110 = - 51.30, F2y = 150.sin 110 = 140.95 why taking angle 110 instead of 70 for finding the magnitude of F2 in X and Y components?
  44. TheDudeTR

    Determine the magnitude of the total force exerted by the track on the

    This is the question. This is the FBD in the solution given. What i didn't understand is the sense of normal force. in the question mg force pulls particle down and according to my logic normal vector should be upwards in this conditions. but it is downwards in the given FBD. when i try to...
  45. jmemo

    Find the direction and magnitude of an electric field

    Find the direction and magnitude of an electric field that exerts a 4.65 ✕ 10−17 N westward force on an electron. (Enter the magnitude in N/C.)
  46. emarie

    Calculate the magnitude of the velocity at point from a given equation, a(t)

    These questions keep appearing in my past-papers and yet at no point in the course notes can I find a worked solution. Unfortunately I'm not sure where to start. My initial thoughts were regarding getting an equation using known values but w.r.t. to t and integrating for v, but like I said I...
  47. themountain

    The magnitude and direction of the minimum magnetic field

    F=ILB F=(48)(.76)B F/36.48=B I am stuck at how to find F, is there a different formula I am missing?
  48. S

    I Main Sequence Rules: Definition & Interpretation

    When viewing an HR diagram, the main sequence curve is apparent, and the general shape of it is obvious. However, in this truncated version, it's unclear to me exactly which stars should be considered main sequence. I've added a shaded grey area as what I think I should count as main sequence...
  49. JD_PM

    Computing the Magnitude of F Using Gradient

    Homework Statement Homework Equations $$F = \nabla \phi$$ $$| F | = \sqrt{F \cdot F}$$The Attempt at a Solution I want to compute ##| F | = \sqrt{F \cdot F}## $$| F | = \sqrt{F \cdot F} = \sqrt{\frac{(km)^2 (r-r_0)^2}{|r-r_0|^6}} = \sqrt{\frac{(km)^2}{(r-r_0)}} =...
  50. J

    What is the magnitude of the average force?

    Homework Statement An athlete on a sled is moving with a speed of 3m/s across a pond with ice. If the total mass of the sled-athlete system is 95 kg, what magnitude of force is required to bring the sled to rest in 15 seconds? Homework Equations Force acting = change in momentum/time that...
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