Average Definition and 1000 Threads

  1. A

    Proving <sin^2(k*r-wt)>= 1/2 using Time Average Integral Method

    Homework Statement Show that <sin^2(k*r-wt)>= 1/2 Homework Equations <f(t)>= 1/T integral ( f(t')dt' ) from [t, t+T] The Attempt at a Solution
  2. wein7145

    Average speed over time interval

    Edit Background: The teacher doesn't teach we just do activities and have whole chapters worth of 20 mini assignments due every few days. Yes I did read the book found nothing. 1. Homework Statement The average velocity of a car over a certain time interval is 35 mi/h. If the velocity of the...
  3. Y

    Average of a sinusodial Function

    Homework Statement Find the average of a sinusoidal function over 1.5 cycles 2880*sin(wt - 30 degrees) Homework EquationsThe Attempt at a Solution Alright so 1/( (3*pi)/2 - 0) * integral[0, (3*pi)/2] 2880*sin(wt - 30 degrees) dt I shift it over to the origin because it shouldn't effect the...
  4. A

    Average Electron Drift Distance with AC Current

    Homework Statement A metal wire with 1023 free electrons per cubic centimeter is carrying 60 Hz alternating current with a maximum current density of 100 amps/cm2. a) Write an expression for the average electron drift velocity as a function of time (vd as a function of time). b) What is the...
  5. O

    Average Acceleration and Speed

    Homework Statement You are driving down a highway at a speed of 25.0 mph when your car accelerates at 55 mph in order to pass another car. What is the average acceleration of this car if this increase in speed occurs over a time period of 5.00 seconds? t = 5 seconds initial speed = 25.0 mph...
  6. M

    Direction and Average Acceleration

    You and your little brother are rolling toy cars back and forth to each other across the floor. He is sitting at x = 0, and you are at x = 4.0 m. You roll a car toward him, giving it an initial speed of 2.2 m/s . It stops just as it reaches him in 3.0 s. In what direction is the car's...
  7. B

    How to solve for distance give average velocity of magnitude

    I have changed the values, and the homework also changes every time I submit a response, I would just like to see an example worked out, so change the values as well if you want! 1. Homework Statement A person takes a trip heading south with an average velocity of magnitude 120.0 km/h except...
  8. I

    Average Velocity and Final Instantaneous Velocity

    Suppose a body moving in a curved path at a constant speed would its average velocity for a specific time period equal its final instantaneous velocity at the end of this period ?
  9. J

    What is the Average C-H Bond Energy in Methane?

    Homework Statement "By means of a balanced chemical equation, including state symbols, illustrate the term average C-H bond energy in methane." Ans: CH4 (g) -> C(g) + 4H(g) Average bond energy = +x/4 kj/mol Why C (g) ? Why is the state of C gas?
  10. Lana Elcic

    Calculating Average Speed on a Road Trip | Physics Help for Beginners

    New to physics, so I'm looking for guidance and help. Here is the following question: A=19 B=0 On a road trip, a driver achieved an average speed of (48.0+A) km/h for the first 54.0 km and an average speed of (43.0-B) km/h for the remaining 86.0 km. What was her average speed (in km/h) for...
  11. Andre

    Average surface temperature independent of radiative gasses?

    http://www.sciencedirect.com/science/article/pii/S0273117715005712 from the abstract: Obviously, the most prominent missing 'forcing' parameter here, is "concentration of greenhouse gasses". There is probably some food for thoughts here, especially when the analysis of Den Volokin and Lark...
  12. Taryn1

    MHB Average rate of change in the function from x1 to x2

    So this is my first question here, and I hope I'm doing it right! My question is basically this: Find the average rate of change of the function from x1 to x2. f(x) = x^2 + 12x -4 I'm also new to precalc, so please don't blame me if this is a really easy question! It doesn't seem to make...
  13. H

    Determining Optimal Moving Average Period for Cyclical Sales

    Hello, I'm trying to use a moving average to optimize performance. However, I don't want to just choose an arbitrary period to begin with. Do you have any suggestions as to how to determine the proper period to begin with. What I'm asking is: Is there a mathematical formula to determine the...
  14. D

    Average acceleration of impact of ball.

    A ball travels vertically downwards until it hits a concrete floor with speed 16.1-m/s. It then bounces vertically upwards at 3.4-m/s. Examination of a high speed video shows that the collision took 1.1-ms. Considering just the collision, what is the magnitude of the average acceleration? b)...
  15. B

    Calculating Average Velocity for a Multi-Segment Trip

    Homework Statement A car travels along a straight stretch of road. It proceeds for 11 mi at 52 mi/h, then 25.4 mi at 43 mi/h, and finally 48.5 mi at 38 mi/h. What is the car’s average velocity during the entire trip? Answer in units of mi/h. Homework EquationsThe Attempt at a Solution...
  16. B

    Formula of Average Magnetic B Field Strength of Large Conductor

    Any one knows how to calculate the magnetic B field strength at a distance from a Large Conductor ? Do we go by average ? thanks
  17. A

    Calculating Average Power from a Windmill Pumping Water - Homework Solution

    Homework Statement A windmill is used to raise water from a well. The depth of the well is 5.0 m. The windmill raises 204 kg of water every day. What is the average useful power extracted from the wind? A. 12 mW B. 120 mW C. 690 mW D. 1700 mW Homework Equations P = W/t The Attempt at a...
  18. H

    How Do You Calculate Average Speed in Different Driving Conditions?

    Homework Statement You drive on Interstate 10 from San Antonio to Houston, half the time at 58 km/h and the other half at 103 km/h. On the way back you travel half the distance at 58 km/h and the other half at 103 km/h. What is your average speed (a) from San Antonio to Houston, (b) from...
  19. P

    Convex polyhedron - average of vertices inside polyhedron?

    I am interested in polyhedrons (mostly hexahedrons and pentahedrons). The shapes I am interested in are irregular, where none of the opposing faces are parallel to each other. However, the shapes I am dealing with all CONVEX. I have the vertices of my polyhedrons and was wondering if I sum up...
  20. S

    Diffusivity of Gasses -- Average Collision Diameter & Integral

    https://en.wikipedia.org/wiki/Mass_diffusivity http://webwhiteboard.com/#4j3pn87a In the equation specified in Wikipedia for gases. http://imagebin.ca/v/2A0LjLEf0qyT The Average Collision Diamteter & Integral are said to be tabulated and there is a book referenced. Is it possible to get an...
  21. W

    How to calculate average velocity?

    Hello, Suppose given a sample data of particle traveling with following co-ordinates: x | y [(2, 2), (4, 2), (4, 3), (4, 4), (1, 3), (1, 1), (4, 4), (4, 1), (0, 4), (4, 2)] we want to calculate the Average velocity. How do we find it? If we use difference between initial and last won't give...
  22. AHashemi

    Calculate the average speed and average velocity

    1. a man drives from a to b with car and speed of 20 km/h and returns from b to a immediately with speed of 30 km/h. what's the average speed and average velocity? 2. V=at+Vi etc 3. I think avg. speed will be 25 km/h and avg. velocity is -10 km/h. Is that right? thanks :)
  23. yeshuamo

    Average general GRE scores at Stanford

    Stanford's Physics profile on GradSchoolShopper.com lists their incoming class's GRE scores as: "The average GRE scores for admitted students in 2014–15 were: Verbal-171, Quantitative–176; Analytical–4.42; Physics Subject–928." How do we interpret these general GRE scores? Everywhere I look...
  24. ognik

    MHB Find average from a Taylor's expansion

    The question is: Expand a function $ {\phi}(x, y, z) $ by Taylor’s expansion. Evaluate $ \overline{\phi} $ the average value of $ {\phi} $, averaged over a small cube of side $ l $ centered on the origin and show that the Laplacian of  is a measure of deviation of  $ {\phi} $ from (0, 0...
  25. A

    Average energy vs Energy of average

    Hey, When performing Molecular dynamic or Monte Carlo simulation (in NPT or NVT ensemble), I'm wondering whether there is any difference between the average energy of the system and the energy of the average structure. If there is a difference, how munch should it be? and why? Does the the...
  26. Gvido_Anselmi

    Calculating the Average Value of Square Spin for a Composite System

    Hello everyone. Let us consider two fermions whose spin state wave functions are certain (normalized) ##\psi_{1}## and ##\psi_{2}##. So the overall normalized spin state wave function of this system is of the form: ##\psi = (1/\sqrt{2})(\psi_{1} \psi_{2} - \psi_{2} \psi_{1})## Is there any...
  27. A

    Adding increasing fractions without averaging numerators

    I'm interested in the following inequality (which may or may not be true) Theorem 1: ##( \sum_{i=1}^n \frac{a_i} {n}\ )( \sum_{i=1}^n \frac{1} {b_i}\ ) > \sum_{i=1}^n \frac{a_i} {b_i}\ ## Where ##n ≥ 2, a_1 < a_2 < ... < a_n## and ##b_1 < b_2 < ... < b_n##. My attempt at a proof: 1) When n =...
  28. Tonia

    What is the Average Speed and Acceleration of a Car on a Straight Road?

    Homework Statement On a straight road you start your car and increase the speed at a steady rate to 45 miles per hour during a 5 second interval. Calculate: a)the average speed during the 5 seconds b) the acceleration in miles per second at t = 3.2 sec. after you start your car c) the speed of...
  29. nick miller

    Finding the average shear stress

    Homework Statement Find the shear stress alone the cylindrical area of the plate, and the average shear stress in the bolt head along the cylindrical area. the plate is 30 mm thick bolt head is 8 mm thick bolt head diameter is 18mm bolt shank diameter is 7 mm shank has 8 kn along it...
  30. S

    Average Force on a Rocket During Gas Exhaustion

    Homework Statement Rocket engine expends 1150 kg of gas in 1 second, with a velocity of -4.50×10^4 m/s. Calculate the average force exerted on the rocket by the gas during that 1.0 second interval Homework Equations F= m(delat)v / (delta)t The Attempt at a Solution F= (1150kg)(-45000m/s) / 1...
  31. Seejianshin

    How is Work Calculated for a Drag Race Scenario?

    Homework Statement A 500hp Mustang is able to push this 1750kg car down a 410m drag strip in a time of 11.5s. a) What is the work done by the car? b) What is the average force during the car's motion. Given: Power = 500hp = 372000w Mass = 1750kg Distance = 410m...
  32. can12345

    Optimizing Averaging Algorithms for Reliable Pressure Measurements

    < Mentor Note -- thread moved to HH from the technical engineering forums, so no HH Template is shown > Hello everyone. I have such a task to fullfill. I am using dsa3307 Differential pressure scanner. Can someone give me an idea? How to achieve a result for this topic.."Implementation and...
  33. M

    Find the average velocity of the molecules of neon before an

    Homework Statement A container has neon gas in the temperature 273 K. We heat the container to the temperature 373 k, keeping the volume constant. Find the average velocity of the molecules of neon before and after the heat. Homework Equations U=3/2vRT The Attempt at a Solution I thought to...
  34. S

    Average kinetic energy of particles of an ideal gas

    Homework Statement So first the task: Determine the average value of the kinetic energy of the particles of an ideal gas at 0.0 C and at 100 C (b) What is the kinetic energy per mole of an Ideal gas at these temperatures. I took the above right out of the pdf we got from our professor. I know...
  35. N

    What's the average Body Composition by Volume?

    Hi. I'm trying to write some anatomical systems for a game I'm coding, and i need some good data to work from. Our game is about dogs, not humans, but i figure a human will be close enough What I'd really like is a case study of a specific organism, and i'd like to know the compositions, by...
  36. P

    Basic Kinematics Problem -- Backpacker's average velocity and distance....

    Homework Statement Problem reads: In reaching her destination, a backpacker walks with an average velocity of 1.34 m/s, due west. This average velocity results because she hikes for 6.44 km with an average velocity of 2.68 m/s, due west, turns around, and hikes with an average velocity of 0.447...
  37. moenste

    Acceleration-time graph: average distance and average force

    Homework Statement The acceleration-time graph above is drawn for a body which starts from rest and moves in a straight line. The body is of mass 10 kg. Use the graph to find: (a) the average distance traveled in 15 s, (b) the average force acting over the whole 15 s period. Answers: (a)...
  38. L

    Questions on finding average EMF

    A 34 turn circular coil of wire has diameter 1.07 m. It is placed with its axis along the direction of the Earth's magnetic field of 60.0 µT, and then in 0.202 s it is flipped 180°. An average emf of what magnitude is generated in the coil? ε = − dΦB dt = −2Nπr 2B/dt = 16.95 when I used 3.14...
  39. S

    Equations for average and maximum velocity

    Homework Statement Given height dropped and gravity constant, what is the maximum and average velocity of an object dropped from a building. Gravity- 9.81 (Delta)y- 45 m. Height from which object is dropped T- 3.1 seconds Homework Equations V= v(final)-v(initial)= a x (delta)t V(avg)= (sqrt...
  40. B

    Calculate Average Shear Stress of Wooden Device Pulled Apart by P

    Homework Statement The wooden device is pulled apart by force P, determine the axial force P applied. The average normal stress is 2 ksi. Find the average shear stress along a-a. http://i60.tinypic.com/2vt1h8y.png Homework Equations τ = V/A σ = P/AThe Attempt at a Solution 2 ksi = P/A...
  41. SU403RUNFAST

    Taking the average of a formula

    Homework Statement I have the total energy of a hydrogen atom E and need to take the average. The uncertainty in deltax=r so the uncertainty in deltap=hbar/2r The average values of x^2 and p^2 can be identified with the squares of the corresponding uncertainties, and the constant value of E is...
  42. U

    MHB Calculating Average Fees and Transaction Volumes Word Problem

    If I have 415 transactions and know there are only two types of transactions (H&L) with a total average fee of 1.4 and I know transaction H has an average fee of 1.20 can I calculate the average fee for L and the individual transaction volumes for both H and L? I should also note that the total...
  43. M

    Calculating average from probabilistic measurements?

    I have got a sample size of 1000 and I calculated the mean probability of success of an event by breaking this sample size into sets of 50 and also have the standard deviation and standard error of mean of this success. Now I repeat this process and have another set of data. What will be the...
  44. L

    Average values of operators of potential and kinetic energy

    In case of quantum LHO in eigen state of the system ##|n \rangle## \langle \hat{T} \rangle=\langle \hat{U} \rangle=\frac{1}{2}(n+\frac{1}{2})\hbar \omega What will happened in some superposition of states? Does Ehrenfest theorem can tell me something more general? Is it possible to say that...
  45. shanepitts

    Average kinetic energy of harmonic oscillator

    I was wondering why the average kinetic energy is calculated in this manner. They are dividing the kinetic energy function by the period (noted here as To) and integrating it with limits from 0→To. Why? (This is a tiny portion of a larger textbook example, not an actual assignment.) Sorry for...
  46. E

    Find the average force exerted on a bullet by a rifle

    Homework Statement A rifleman is shooting at a target at a firing range. The rifle has a mass of 4.0kg. When the gun's trigger is pulled, a bullet of mass of 10g will exit the rifle's barrel at a speed of 800m/s. The rifle is stationary at the instant the trigger is pulled. Given that the rifle...
  47. J

    Temperature and Average kinetic energy of moleces

    1. The temperature of air wil ... if we add a hydrogen molecule of a speed higher than 1980 m s/-1. 2. The temperature of air will ... if we take away a hydrogen molecule of a speed highr than 1980 m s /-1. 3. The temperature of air will ... if we take away a hydrogen molecule of a speed lower...
  48. H

    Average shear rate of of particle sureface

    Homework Statement Diffusion coefficient (D) of 100 nm particles ( density = 1050 kg/m3) in a viscous solvent at 25 C is 2.2 x 10-13 m3/s What is the average shear rate at the particle surface? Homework Equations D = kT/ 6πηa (1) where k is Boltzman constant, T = temperature, ηsusp =...
  49. Quarlep

    Find average velocity of a sphere which expands and moves

    Homework Statement Find the average velocity of shell while its moves a velocity v' and expands a velocity v. Sphere radius is R Expansion velocity v Movement velocity v' Homework Equations I think there's no need an equation.[/B] The Attempt at a Solution I try to find average velocity...
  50. N

    Why is average velocity called velocity?

    1. Excuse the dumb questions, I've just started learning physics outside my school course. If this forum doesn't allow this level of questions, then please point me somewhere else. 2. I'm also not sure if I'm allowed to post multiple questions that fall under the same topic, I didn't see...
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