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. T

    Magnitude in frequency domain of Fourier Transform

    Homework Statement Hi All, I'm just trying to practice graphing signals in frequency domain and I came across a stiuation I wasn't familiar with. If the exp() has a constant*t in it I'm not sure how to graph it, I remember that just cos it like a double sided exp(jwt) but with half the...
  2. C

    Determine magnitude and direction of the force exerted on the floor

    Homework Statement There is a 180 pound basketball player. The coefficient of friction between his right foot and the floor is 0.7. There is no acceleration or sliding in the problem. Determine the magnitude and direction of the force that his right foot is exerting on the floor...
  3. I

    Apparent magnitude of a light bulb

    Homework Statement What is the apparent magnitude of a 100W light bulb at a distance of 3 m? [Hint: Compare with the Sun to eliminate the unknown constant in the expression relating flux density to apparent magnitude.] . The solar luminosity is L \approx 4 \times 10^{26} W. . The Earth-Sun...
  4. T

    Magnitude in frequency domain of Fourier Transform situation

    Hi All, I'm just trying to practice graphing signals in frequency domain and I came across a stiuation I wasn't familiar with. If the exp() has a constant*t in it I'm not sure how to graph it, I remember that just cos it like a double sided exp(jwt) but with half the magnitude. I've attached a...
  5. P

    Magnitude of the non-coulomb electric field around a solenoid.

    Homework Statement A metal ring of radius r = 24 cm surrounds a solenoid of radius R = 2 cm and 10000 turns. The magnetic field inside the solenoid changes from 5 T to 3 T in 0.1 s. Find the magnitude of the non-Coulomb electric field along the ring. Answer in units of V/m Homework...
  6. T

    What is the magnitude of the angular momentum of the bar?

    Homework Statement A rigid, uniform bar with mass m and length b rotates about the axis passing through the midpoint of the bar perpendicular to the bar. The linear speed of the end points of the bar is v . What is the magnitude of the angular momentum of the bar? Homework Equations...
  7. W

    Change in Magnitude of Acceleration

    Homework Statement A ball is launched at an angle of 37 degrees from the roof of a building on Earth and falls to the ground. Describe the magnitude of acceleration as the ball travels. Homework Equations Acceleration is equal to change in velocity over change in time. The Attempt...
  8. A

    Magnitude of frictional force during terminal velocity

    Homework Statement A parachutist, after jumping from the plane, is accelerating down with average acceleration of 1.6 m/s2 (relative to the ground). What is the force of friction slowing his motion is mass of the parachutist with his equipment is 124 kg? What is the frictional force when the...
  9. F

    Phase and Magnitude of a Cosine

    Homework Statement Graph the magnitude and phase of the function: H(w) = cos(3w) Homework Equations None The Attempt at a Solution So here's the thing, I understand how to graph the phase and magnitude of any sort of function like X(w) = A*exp(wt). In that case, the magnitude...
  10. M

    Magnitude of acceleration in circular motion

    Homework Statement A ferris wheel with radius 14.0m is turning about a horizontal axis through its center. The linear speed of a passenger on the rim is constand and equal to 7.69m/s. What is the magnitude of the passenger's acceleration as she passes through the lowest point in her circular...
  11. P

    Finding the magnitude of an object's angular momentum about the origin.

    Homework Statement A 1.4 kg object at x = 2.00 m, y = 3.10 m moves at 4.9 m/s at an angle 45° north of east. Calculate the magnitude of the object's angular momentum about the origin. Answer is 5.3 kg m^2 /s Homework Equations These were the only three I could think of: L=Iω L=mvr ω=v/r The...
  12. F

    Absolute Magnitude of the Full Moon

    Hey guys, I was doing some homework and found something I don't quite understand. When calculating the absolute magnitude of the Full Moon, I came across a square root of its Albedo. (here - http://space.wikia.com/wiki/Absolute_magnitude). No idea why it's squared, but I can't get the +0,25...
  13. T

    Isobaric process. Find magnitude of heat transfer

    Hi there, I'm having a great deal of trouble with this thermodynamics question. Cylinder filled with steam at 350 kN/m2. Initial volume is 0.05 m3. Sufficient heat transfer is effected to raise the internal energy in each cylinder by 50 kJ. The piston is moved slowly to maintain the...
  14. N

    Find Magnitude of Magnetic Field Along Bent Wire at Point P

    Homework Statement A wire carrying a 31.0 A current bends through a right angle. Consider two 2.00 mm segments of wire, each 3.00 cm from the bend. A figure has been included. Part A) Find the magnitude of the magnetic field these two segments produce at point P, which is midway between...
  15. P

    Magnitude of the electric field in a copper wire.

    Homework Statement In the circuit shown, two thick copper wires connect a 1.5 V battery to a Nichrome wire. Each copper wire has radius R = 7 mm and is L = 18 cm long. Copper has 8.4 × 10^28 mobile electrons per cubic meter and an electron mobility of 4.4×10^−3 (m/s)/(V/m). The Nichrome wire...
  16. A

    The magnitude of acceleration?

    Homework Statement A particle moving along the x-axis has a position given by x = 24t - 2.0t3 m, where t is measured in s. What is the magnitude of the acceleration of the particle at the instant when its velocity is zero?Homework Equations v=dx/dt a=dv/dt=d2x/dt2 The Attempt at a Solution...
  17. P

    Magnitude and angle of particle direction-

    A 0.26 kg particle moves in an xy plane according to x(t) = - 10 + 2 t - 3 t3(t cubed) and y(t) = 29 + 3 t - 4 t2 (t squared), with x and y in meters and t in seconds. At t = 2.0 s, what are (a) the magnitude and (b) the angle (within (-180°, 180°] interval relative to the positive direction of...
  18. S

    Magnitude of Acceleration and Work

    Can someone help me A 5kg box slides up an inclined plane surface, with an initial speed of 5.00 m/s. The plane makes a 30 degrees angle with horizontal. The coefficient of friction is .137. Assume g = 9.80 m/s^2. A) what is the magnitude of the acceleration of the box? B) What is the...
  19. P

    Magnitude of electric field at a point

    Homework Statement A force of 5.7 N. is exerted on a 8.8 microCoulomb charge in a downward direction. What is the magnitude of the electric field (in N./C.) at this point? Homework Equations E = (kel * abs(q)) / r^2\ E = Fel / q The Attempt at a Solution 8.8 microcoulombs --> 8.8e-6...
  20. N

    Finding the magnitude of Torque

    Homework Statement A force F = 75.0 N is applied to a box with dimensions y = 2.51 m, x = 1.62 m. The force is applied at an angle θ with respect to the horizontal. For θ = 35.0°, calculate the magnitude of the torque produced by F about the point O. (reference attached picture)...
  21. S

    Can someone me find the magnitude of acceleration using forces?

    Homework Statement A mass of 8 kg lies on a frictionless, horizontal floor. A force of 145 Newtons is applied to the mass at an angle above the positive x-axis and a force of 16 Newtons is applied to the mass at an angle of 24.5 degrees below the negative x direction. If the angle for 145...
  22. T

    Magnitude of Perpendicular Component.

    Homework Statement Determine the components of F that act along rod AC and perpendicular to it. Point B is locateda distance f along the rod from end C http://imgur.com/iGJkN Given: F = 600 N a = 4 m b = 6 m c = 4 m d = 3 m e = 4 m f = 3 m I have no clue where to start. please help! Homework...
  23. C

    Determine the magnitude of force at pin A as a function of position d.

    Homework Statement Refer to link for picture of problem. http://session.masteringengineering.com/problemAsset/1127894/8/Prob.5-29.jpg Determine the magnitude of force at pin A as a function of position d. The mass of the weight is 700 kg and d goes from 1.7 m to 3.5 m I have found Fbc...
  24. mrspeedybob

    Vectors of zero magnitude

    I read a post in an unrelated thread to the effect that some vectors do not have a direction. I assume the poster was referring to vectors with zero magnitude. At first this makes sense but the more I thought about it the more it seems to me that zero magnitude vectors do still have direction...
  25. J

    Sum of Two Vectors: Magnitude & Scalar Product

    Homework Statement If the magnitude of the sum of two vectors is less than the magnitude of either vector, then: -the vectors must be parallel and in the same direction -the scalar product of the vectors must be negative -none of these -the scalar product of the vectors must be...
  26. A

    Determine the magnitude of the contact force between the two blocks.

    Homework Statement Two blocks of masses m1 and m2, with m1 > m2, are placed in contact with each other on a frictionless, horizontal surface. A constant horizontal force is applies to m1. a) find the magnitude of the acceleration b) determine the magnitude of the contact force between the...
  27. J

    Net force, tension, acceleration, and magnitude

    Homework Statement Two blocks, of masses m1 = 10kg and m2 = 5kg respectively are connected by a massless unstretchable string and are pulled by an applied force Fa, up a frictionless incline which makes an angle of θ=30° with the horizontal. The tension in the string which connects the two...
  28. T

    Magnitude and direction of net force acting on a charge.

    Homework Statement Four charges, q1 = +195 µC, q2 = +60 µC, q3 = −145 µC, and q4 = +21 µC, are fixed at the corners of a 4 m by 5 m rectangle, as illustrated in the figure below. What are the magnitude and the direction of the net force acting on q1? (Assume the x-axis extends from q1 to...
  29. N

    Calculate Magnitude of Moment in 3D

    Homework Statement The turnbuckle is tightened until the tension in cable AB is 1.5 kN. Calculate the magnitude of the moment about point O of the force acting on point A. Homework Equations ƩMO = sqrt(Mx2 + My2 + M2) The Attempt at a Solution First I identified the...
  30. D

    Magnitude of normal force from ceiling to man

    Homework Statement tall strongman of mass m = 93 kg stands upon a scale while at the same time pushing on the ceiling in a small room.If the scale reads 1062 N (about 239 lb), what is the magnitude of the normal force that the ceiling exerts on the strongman? Homework Equations N=m...
  31. S

    Magnitude and direction of current

    Homework Statement A conducting bar of length l is placed on a frictionless plane tilted at an angle θ from the horizontal.A uniform magnetic field is applied to the vertical direction.To prevent the bar from sliding down, a voltage source is connected to the ends of the bar with current...
  32. R

    Finding the magnitude of the friction force.

    Homework Statement An 8kg ball moves down a 12m high inclined plane with a speed of 6m/s. By the time it reaches the bottom, the speed is measured to be 12m/s. What is the frictional force opposing the motion? The inclined plane has an angle of 30 degrees with respect to the ground. Homework...
  33. W

    Solving Beam & Magnitude Reactions - 25kg Beam

    Homework Statement As shown, a roller at point A and a pin at point B support a uniform beam that has a mass 25.0 kg . The beam is subjected to the forces f1 = 50.0N and f2= 79.0N . The dimensions are l1= 0.750m and l2= 2.30m . (Figure 2) What are the magnitudes and of the reaction forces...
  34. B

    Calculating Friction Force: A Practice Problem

    Hey, I have a practice problem that I haven't been able to get and a test coming up. I've looked in the book for how to solve the problem but can't find anything. Would you mind helping, please? Problem: A 2 kg block is at rest on a dry, flat, horizontal table. A horizontal force with...
  35. P

    What is the magnitude E of the field?

    Homework Statement Two tiny spheres of mass = 7.20 mg carry charges of equal magnitude, 72.0 nC , but opposite sign. They are tied to the same ceiling hook by light strings of length 0.530 m . When a horizontal uniform electric field E that is directed to the left is turned on, the...
  36. S

    Magnitude of friction on the driving wheel

    After discussing this with my friend using our O level knowledge, we came to a conclusion. But we have some queries. So firstly, we have our driving wheel on the air and the engine is turned on. So the Free Body Diagram would look like this: http://imgur.com/xVk0w So in this case the net...
  37. D

    Cord tension & how to calculate force magnitude of a cord & pulley

    Homework Statement A man sitting in a bosun's chair that dangles from a massless rope, which runs over a massless, frictionless pulley and back down to the man's hand. the combined mass of the man and chair is 103.0 kg. With what force magnitude must the man pull on the rope if he is to rise...
  38. T

    Vector magnitude on an inclined plane - should be a quick answer

    Homework Statement Please see attachment. When θ = 0, mass m is at the bottom of the inclined plane. If I create a frame at origin O, with axes along the bottom of the plane and the dotted line (as shown in the picture), will my magnitude of the vector from O to A (along the dotted...
  39. L

    Complex-valued function - finding argument and magnitude

    Homework Statement Let H(ω) be a complex-value function of the real variable ω. For each of the cases below, find |H(ω)| and argH(ω). a: H(ω)= 1/(1+iω)^10 b: H(ω)=(-2-iω)/(3+iω)^2 Homework Equations The Attempt at a Solution Our prof has not taught how to do these types of questions in...
  40. N

    Magnitude of Cable Tensions and Compressive Force

    Homework Statement http://prntscr.com/fehze There's a diagram with a rough free body diagram implemented. Homework Equations This is what I'm really unsure about. The Attempt at a Solution Finding Compression at BC: mg*sin(60) = 8495N Tension AC = mg*cos(25) = 8890N Not...
  41. E

    Hello, I am being asked to find the magnitude and directional sense

    Hello, I am being asked to find the magnitude and directional sense and I know how to resolve it but I am having a lot of trouble figuring out the signs. I read somethign about the right hand rule and I know it is suppose to be the easiest way but I just don't get it. could you point me in the...
  42. S

    Magnitude of the electrostatic force

    Hello, Any help woould be wonderful! Identical point charges Q are placed at each of the four corners of a rectangle measuring 2.35 m by 3.05 m. If Q = 26.9 μC, what is the magnitude of the electrostatic force on anyone of the charges? i don't even know where to start... HELP!
  43. R

    Find equation of surface with a given magnitude

    Homework Statement G=(24xy,12(x^2+2),18z^2) |G|=60 Find the equation of the surface on which |G| = 60 Also two points were mentioned P(1,2,-1) and Q(-2,1,3) not sure if they are relevant to this problem. Homework Equations The Attempt at a Solution Is this correct?
  44. A

    Magnitude of momentum between each pair of adjacent locations

    Homework Statement You will calculate the change in the magnitude of momentum between each pair of adjacent locations. Begin by calculating ∆ |~pBC|,the change between locations B and C ~pB = 2.03, 2.83, 0 kg · m/s ~pC =1.55, 0.97, 0 kg · m/s ~pD = 2.24, −0.57, 0 kg · m/s ~pE = 7.97...
  45. M

    Displacement Vectors finding magnitude of R and theta

    Homework Statement The displacement vectors A and B, when added together, give the resultant vector R, so that R= A+B . Use the data in the drawing and the fact that = 29° to find the magnitude R of the resultant vector and the angle θ that it makes with the +x axis. I am unsure how to...
  46. C

    What is the magnitude of F required to raise the lamp post?

    Homework Statement In order to raise the lamp post from the position shown, the force on the cable must create a counterclockwise moment of 1500 lb*ft about point A. Determine the magnitude of F that must be applied to the cable. Homework Equations I can find the magnitude of a vector...
  47. C

    Statics: Determine the magnitude of the resultant force

    [b]1. Homework Statement : The Attempt at a Solution I keep attempting this problem and so far I have got this: F1x: 150 F1y:260 F2x:424 F2y:424 F3x:600 F3y:250 Then I add the x's together and y's together, square both and take the square root for magnitude, but can't seem...
  48. E

    Finding magnitude of electric field of a cylinder

    Homework Statement Homework Equations E = 1/4(\pi \epsilon_{0}) * \frac{p}{r^2} The Attempt at a Solution E = 2\pir_{0} \epsilon_{0} = pl/\epsilon_{0} = \frac{pr}{2\pi r_{0} \epsilon_{0}} I am going by what I know about Gauss Law and using a similar format for the Electric field equation for a...
  49. D

    Cross Product Magnitude for Triangle Area

    Homework Statement So I have several problems on my homework which deal with the application of cross product and its magnitude to find areas. I know how to do cross product, and I know how to find the magnitude, however, no matter how many times I try to calculate it, I get the wrong...
  50. A

    How to get a magnitude for polarization force?

    Homework Statement Hello. How do you calculate the magnitude of a polarization force (theoretically)? We just did a lab and have to do the report now. It just involved using a Van Der Graaf generator to charge one sphere and measuring the force it exerts on a neutral sphere . This was done by...
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