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. S

    Position and magnitude of the maximum bending moment

    Homework Statement I need to calculate the position and magnitude of the maximum bending moment. Knows are: E=210GPa Homework EquationsThe Attempt at a Solution I've calculated the following: R1=33kN R2=32kN From the shear force diagram I know that at 2m from R1 at the concentrated load of...
  2. GoldWing

    Magnetic Levitation magnitude of current

    Homework Statement Three long parallel wires are a distance L = 5.71 cm from one another. (Looking at them, they are at three corners of an equilateral triangle.) The top wire has a diameter of 1.8 mm and is made of copper; it is suspended in air due to the magnetic forces from the bottom two...
  3. isaac206

    Tension on Rope, greater then, less than, or equal to

    https://auddoq.dm2302.livefilestore.com/y2mGb2n5mfKxwU4nZlLmOvyElgDcG0-5GG9dGoP4AbrV1taK31XrOoPmeyf9x9RQZ8kXLi0WG2Etd0-I8bVWqOgVufahONs02hTGFS-SUwBVRyd-ajz5Eza-nrk9yWa7kF6kPFtMdPD6MGIpfwQMhywCLfOOuIO4-3tLe1_KjSf9V0/20150505_234057356_iOS.jpg?psid=1 if the image does not show here's the link...
  4. Brendan Webb

    Finding the Magnitude and Direction of the Displacement Vector for a Ship's Trip

    A ship sails 130 km due north from island A to island B and then 92 km, in the direction 22° south of east, to island C. The ship after that returns directly to island A. Calculate the magnitude and direction of the displacement vector in the last trip. Draw appropriate diagrams. Homework...
  5. R

    Evaluating magnitude of vector

    Homework Statement Let a and b be two unit vectors such that | a + b| = √3. If c = a+ 2b + 3(a x b), then 2|c| is equal to: √55 √51 √43 √37 Homework Equations a x b = |a| |b| sinθ n where n is a unit vector ## | a + b | = \sqrt{a^2 + b^2 + 2abcosθ} ## The Attempt at a Solution Found cosθ =...
  6. R

    Absolute magnitude and luminosity

    Do two stars of the same absolute bolometric magnitude have the same absolute visual magnitude? If this is true; does this mean that two stars with the same power output have the same have the same bolometric magnitude and therefore same visual magnitude?
  7. R

    Difference in power and absolute magnitude of a star

    My physics book mentions that a stars luminosity is its total power output at all wavelengths and that absolute magnitude is defined as inherent brightness and NOT luminosity. It then mentions that two stars of the same power output have the same absolute magnitude. Since luminosity is the...
  8. S

    Two masses on two inclined planes -- What is magnitude of velocity

    Homework Statement Two boxes of equal mass m are connected by a light string over a massless pulley, and rest on surfaces of inclination θ and φ, θ>φ. The boxes are released from rest. The coefficient of kinetic friction between the boxes and the surfaces is μ. Determine the magnitude of the...
  9. 2

    Stefan-Boltzmann law, luminosity, brightness and magnitude?

    From what I understand, in the equation P=\sigma AT^4, P is the power output of the star which is the energy radiated per second in EM radiation of all frequencies, and I think luminosity is also defined as the energy radiated per second in EM radiation of all frequencies. Therefore luminosity...
  10. Shinwasha

    Find the Magnitude of the Magnetic Field in a moving loop

    Homework Statement A conducting square loop placed in the xy plane (oriented with its horizontal and vertical sides parallel to the x and y axes) moves to the right across the y-axis at a constant speed of 2.0 m/s, a 0.63-V emf is induced in the loop. If the side length of the loop is 0.30 m...
  11. AionTelos

    What is the normal force on a block at the top of a loop?

    Homework Statement A block of mass m = 1.8 kg starts at rest on a rough inclined plane a height H = 8m above the ground. It slides down the plane, across a frictionless horizontal floor, and then around a frictionless loop the loop of radius R = 2.0 m. On the floor the speed of the block is...
  12. P

    Finding Magnitude Homework: Inequality for Moving Blocks Together

    Homework Statement Two blocks are stacked one on top of the other with mass m1 on top and m1/m2= 3.0. There is no friction between m2 and the ground, but the coefficient of friction between m1 and m2 are given by μk= 0.40 and μs= 0.50. For what magnitudes of force acting horizontally on m1 do...
  13. Shinwasha

    Calculate the magnitude of the induced EMF in the loop

    Homework Statement A square conducting loop lies in the xy plane of an xyz coordinate system. The loop is in a uniform magnetic field that points in the positive z direction and is decreasing at a rate of 0.070 T/s. What are (a) the magnitude of the induced EMF in the loop and (b) the direction...
  14. N

    Projectile Motion- magnitude of final velocity

    Homework Statement Consider a cannon on a 50m high cliff. The cannon shoots a cannonball with an initial speed of 200m/s at an angle of 30°, causing the cannonball to land 41m away from the cannon. What is the magnitude of the velocity of the cannonball the instance just before it hits the...
  15. D

    Question about magnitude positive y direction

    Hello everybody. If I choose the positive y direction to be vertically downwards, and the positive x direction to be to the right, and take the cross product y cross x, then the direction of the resultant is out of the page (if I draw x and y as lines on paper). The magnitude is yx sin(φ)...
  16. MaximumPhysics

    Why did I get an incorrect answer for my physics homework?

    Homework Statement http://i.imgur.com/COAuag8.png Homework Equations Change of momentum and Force = impulse / time. The Attempt at a Solution I got 0.325204kg m/s for magnitude of the impulse and 8.338572195N for average force exerted by the ball on the wall...
  17. F

    How Is Current Induced in a Circular Coil by a Changing Magnetic Field?

    Homework Statement . A circular coil of radius 5.0 cm and resistance 0.20 Ω is placed in a uniform magnetic field perpendicular to the plane of the coil. The magnitude of the field changes with time according to B = 0.50e-20t T. What is the magnitude of the current induced in the coil at the...
  18. A

    What is the magnitude of the spring force given M,K and X

    Homework Statement 1.In a game a .12kg disk is shot across a frictionless surface . The spring is compressed by 6cm. The spring constant is 230 N/m. What is the magnitude of the spring force? 2. A piece of plastic is attached to a spring. The spring is compressed 2cm and the released. If the...
  19. thegirl

    Apparent Magnitude and Intensity Formula

    Hey, Could anyone explain why Ia/Ib=2.512^(Mb-Ma), Where "Ia" and "Ib" are intensities of star a and star b and "Mb" and "Ma" are the apparent magnitudes of star A and star B? I thought the formula would be Ia/Ib=(2.512)^(Ma-Mb) because Ia=2.512^Ma and Ib=2.512^Mb. Thank You
  20. littlejon

    How Is the Net Electric Field Calculated at a Point in a Square of Charges?

    Homework Statement Learning Goal:[/B] To practice Problem-Solving Strategy 26.1 for point chargeproblems. Three positively charged particles, with charges q1=q, q2=2q, and q3=q (where q>0), are located at the corners of a square with sides of length d. The charge q2 is located diagonally from...
  21. littlejon

    Calculating Electric Field and Force Between Charged Rings

    Homework Statement Two 10-cm-diameter charged rings face each other, 25cm apart. The left ring is charged to -17nC and the right ring is charged to +17nC . A.What is the magnitude of the electric field E⃗ at the midpoint between the two rings?B.What is the magnitude of the force F⃗ on a -1.0...
  22. entropy1

    Why do ket vectors not have magnitudes?

    Why does the magnitude of a ket vector not matter? The motivation appears to be that a state vector only can decribe a particle, or no particle. But why shouldn't the magnitude of ket vectors not be used to represent the density of the particles, the average number of particles? I'm am fairly...
  23. M

    Determine the magnitude of force on a suspended object

    Homework Statement A 5.0 kg mass is suspended by a rope. A horizontally directed force F is applied to the mass. What magnitude of force is needed to produce an angle of 65˚? mass = 5kg angle = 65˚ Homework Equations F = mgsinx T = rFsinx The Attempt at a Solution [/B] I tried using the...
  24. W

    Magnitude of velocity and impulse

    In one of MSU’s seven sacks, MSU linebacker Denicos Allen sacked UM quarterback Devin Gardner. Just prior to being sacked, the quarterback was at rest. Just after they collided, the two players were momentarily stuck together and both slide a distance of 1.5 m before coming to a stop. In...
  25. H

    A=F/M Based problem - air track glider

    At time t=0 s a 0.362-kg air track glider is moving rightward at 5.1 m/s. At t=2.5 s, it's going leftward at 5.4 m/s. Determine the magnitude and direction of the constant force that acted on the glider during this interval. Give your answer in Newtons. If the force is going rightward, your...
  26. O

    Magnitude of force on point from wire

    Homework Statement A straight, nonconducting plastic wire 9.50cm long carries a charge density of 100 nC/m distributed uniformly along its length. It is lying on a horizontal tabletop. Find the magnitude and direction of the electric field this wire produces at a point 6.00cm directly above...
  27. Lesliedenise57

    What is the magnitude of the average velocity v of the car?

    Homework Statement A car is traveling a road that makes quarter of a circle with a constant speed s. What is the magnitude of the average velocity v of the car? Homework EquationsThe Attempt at a Solution this is what I have down but I am not sure if I am right *constant speed formula...
  28. C

    Magnitude of horizontal forces

    A child pulls an 11 kg wagon with a horizontal handle whose mass is 1.8 kg. This results in the wagon and the handle accelerating at 2.3 m/s^2. Find the tension forces at each end of the handle. Why are these different? Suppose that the mass of the child is 30 kg. What is the magnitude of the...
  29. H

    Find Magnitude of V1 X V2 When Vectors are Perpendicular

    Homework Statement V1 and V2 are different vectors with lengths V1 and V2 respectively. Find |V1 X V2| if V1 and V2 are perpendicular. Homework Equations V1 X V2 = |V1|*|V2|sin(Θ) The Attempt at a Solution Since sin(90) = 1, V1 X V2 = |V1|*|V2|. When I input this answer it says its incorrect...
  30. N

    What is the magnitude of the force?

    Homework Statement Mike is training for a strongman competition. Using a rope, Mike is pulling a locomotive of mass 2.00 x 10^4 kg coupled to two 0.50 x10^4 kg rail cars. Mike causes the train to accelerate at 0.045 m/s^2 . What is the magnitude of the force in the coupling between the...
  31. K

    What is the correct answer for the 4 bit magnitude comparator homework?

    Homework Statement Homework EquationsThe Attempt at a Solution As long as A = 1, its true, So options (A) and (C) are wrong. My ans is (E). Right?[/B]
  32. J

    How to find magnitude of two forces

    Two forces are given and are applied to a car in an effort to accelerate it: 414N at 9 degrees and 340N at 25 degrees. What is magnitude of the resultant of the two forces? Answer in units of N. So I've added together X= (414cos9) + (340cos25), and got -40. For the Y, Y= (414sin9) +...
  33. I

    How to get the magnitude and direction?

    A bomb is released from an airplane flying horizontally at an elevation 1600 ft with a velocity of 294 ft/s. I don't know how to get the magnitude. Will you please help me?
  34. L

    Expression for magnitude of magnetic force

    Homework Statement A particle with charge q moves with velocity v near a long, straight wire which has a current I flowing through it which generates magnetic field B. Give an expression for the magnitude of the force on this particle in terms of q, v = | v | and the magnitude of the magnetic...
  35. PattyCake

    Find Magnitude & Direction of q1, q2 & q3 Forces

    1. Given that q=+12uc distance=19cm Find Magnitude and direction exerted on point q2. What happens to the force if the distance is tripled?q____________ q2 ____________q3 q1=+12 q2=-2.0q q3=+3.0q distances between point are equidistant.The Attempt at a Solution F=k Q Q/ d^2 F=F+F...
  36. S

    How to find the magnitude of a point charge given 2 others?

    Homework Statement Three charges are placed as shown in the figure below. The magnitude of q1 is 2.00 µC, but its sign is not known. The charge and sign of q2 is not known. We do know that q3 is +4.00 µC and the net force on q3 is entirely in the negative x-direction. a.) Deduce the signs of...
  37. C

    How Does Pushing Force Affect Contact Force Between Two Boxes?

    Homework Statement Alex is asked to move two boxes of books in contact with each other and resting on a rough floor. He decides to move them at the same time by pushing on box A with a horizontal pushing force FP = 9.3 N. Here A has a mass mA = 10.6 kg and B has a mass mB = 7.0 kg. The contact...
  38. W

    What is the magnitude of the cross product y cross x?

    If I choose the positive y direction to be vertically downwards, and the positive x direction to be to the right, and take the cross product y cross x, then the direction of the resultant is out of the page (if I draw x and y as lines on paper). The magnitude is yx sin(φ), where φ is the angle...
  39. H.D. M A K

    When magnitude of addition is equals to

    Mod note: Originally posted in a technical math forum, so missing the homework template. How to find angle between two vectors when magnitude of both vectors and their resultant is given. for example The resultant of two vectors of magnitude 3n & 5n comes out 7N, the angle between vector is...
  40. Calpalned

    Vector with the same direction but a different magnitude

    Homework Statement Find a vector that has the same direction as <-2, 4, 2> but has length 6. Homework Equations Length of vector in 3D = |v| = (x2 + y2 + z2)0.5 The Attempt at a Solution I can see that the length of the given vector is (-2)2 + 42 + 22 = 24 36 is (1.5)24, so I tried...
  41. L

    Find Magnitude & Direction for acceleration

    Homework Statement Block B has acceleration of 4 m/s2... Relative acceleration of block A w/ respect to B is 4 m/s2. Find magnitude & direction of accel for A? Homework Equations a_A = a_B + a_A/B x_A = x_B + x_A/B y_A = y_B + y_A/B The Attempt at a Solution x & y components: -4cos(20) =...
  42. L

    Find Magnitude & Direction for acceleration:

    Homework Statement : Block B has acceleration of 4 m/s2... Relative acceleration of block A w/ respect to B is 4 m/s2. Find magnitude & direction of accel for A?[/B] Homework Equations a_A = a_B + a_A/B[/B]The Attempt at a Solution a_A = 4 +4 = 8 m/s2 <-- 8*cos(20) = 7.52 (x-component)...
  43. H.D. M A K

    When magnitude of addition is equals to

    When magnitude of addition is equals to the magnitude of difference of two vectors then the angle between them will be 90 degrees... How and Why ? can anyone explain it ?? Any help will be appreciated.. Thanks
  44. Z

    Difference between impulse and magnitude of force

    we learned about the impulse of a force , but just then a question came to my mind , what's the difference between the magnitude of a force and its impulse , or are they the same ... ??
  45. R

    Magnitude of an Electric Field of a Sphere at a Distance

    Homework Statement So I was given the equation that in a sphere, if at a distance r outisde a sphere of radius R (The sphere insulated, I guess it matters since it would prevent charge to leave?) The electric field E = kqR/r^3 I'm not sure how they got this Homework Equations Flux = Integral...
  46. S

    Absolute magnitude of the sun.

    1. (a) What is the distance modulus of the Sun? (b) What is the Sun’s absolute magnitude?2. I found the distance modulous using 5log(4.84E-6/10) to be -31.6. I feel like I need the apparent magnitude to get the absolute, my teacher is very vague about what we are given to use. Is there a way...
  47. D

    How Do You Calculate the Net Force on an Accelerating Car?

    Homework Statement An 850 kg car accelerates uniformly from rest to 33 m/s in a distance of 120 m. What is the magnitude of the net force acting on the car? Homework Equations F = ma dynamic equations The Attempt at a Solution So i think i have this one sorted but just posting to see iv...
  48. R

    Effect of Magnitude & Direction on Organpipe's Note

    I am reading "Relativity: The Special and General Theory" by Albert Einstein, and in orden to continue reading with full understanding, I would like someone to please clarify one thing for me (or most likely more than one). In the section dealing with "The Principle of Relativity (in the...
  49. P

    Proving Velocity Vector Magnitude Equals c

    Homework Statement show that ## V\prime=\sqrt{ V_{x}^\prime{ ^2} + V_{y}^\prime{ ^2} + V_{z}^\prime{ ^2}} = c## -------------1Homework Equations ##V_{x}^\prime{ ^2}=\frac{V_x - V }{1-{\frac{V V_x}{c^2}}}## -----------------2 ##V_{y}^\prime{ ^2}=\frac{V_y...
  50. barryj

    Magnitude of electric charge on a glass rod

    Homework Statement I am a physics tutor. I want to show the relationship between electric charges and forces and gravitational forces. I am relating an example as follows. If we have a hollow metal sphere the size of the Earth with a charge of 1.63E15 C and a piece of tinfoil the surface with...
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