Average Definition and 1000 Threads

Hi Let D be an anisotropic tensor. This means especially, that D is traceless. \mathrm{tr}(D) = 0 Apply the representating matrix of D to a basis vector S , get a new vector and multiply this by dot product to your basis vector. Than you got a scalar function. Now integrate this...

This question is about a discrepency between the method of finding average velocity via "change in distance over change in time" and the other method of "instantaneous velocity + instantaneous velocity all divided by 2" If I find average velocity of various points on a position vs position...

Homework Statement Large metal bars can be driven into the ground using a heavy falling object. What I have here is a 2000 kg falling object and a metal bar of 400 kg. The falling object strikes the bar at a speed of 6.0 m/s. It comes to rest on the bar without bouncing. As a result of the...

Is there such a thing as magnitude of average velocity? If so, is it one of these? Suppose I have to position vectors. \stackrel{\rightarrow}{r}= 1_x + 2.2_y and \stackrel{\rightarrow}{r}_2 = 2_x + 0_y And the distance between the vectors is Δ\stackrel{\rightarrow}{r}=...

Homework Statement The problem is in the provided link (it is questions 2.2) http://www.docstoc.com/docs/3817109/Chapter-Problems-A-car-travels-up-a-hill-at-a Homework Equations The Attempt at a Solution I understand the duration of time it takes to go up the hill is a larger time...

Homework Statement Consider the graph of the function f(x) = 5x^2 - 8x Determine the average rate of change as x changes from -1 to 4 The Attempt at a Solution f(4) - f(-1) / 4 - 1 The answer is not correct according to the answer sheet. :(

Homework Statement How would I find the average concentrations of Fe(SCN)+2, Fe3+, and SCN- where the equation is Fe3++ SCN-→Fe(SCN)+2 and the Keq was found to be 394. Homework Equations I know the equation for Keq=[Fe(SCN)+2]/([Fe3+]*[SCN-]) but I have no idea how what other equations...

I have been monitoring the temperature of a mirror surface placed outside at night. The temperature is measured at 10s intervals and so, as you can imagine, a plot of the data for one period is quite noisy. I have therefore decided to "smooth" the data by plotting a moving average over a...

For example, in the SSET (Space Shuttle External Tank), how fast does the burnt fuel (liquid hydrogen and oxygen) exit the nozzle at its bottom?

Hey so I am in a second semester calculus class and we are learning about the average value of the function. We are presented the following formula: (1/(b-a)) ∫a to b f(x) dx for a ≤ x ≤ b This is basically doing (x1+...xn)/n, except for infinitely many numbers over the interval...

Hi I am measuring the acceleration of an oscillating body with a triaxial accelerometer. I want to derive some kind of vector average of the 3 channel output. Someone suggested using x= √(a squared + b squared + c squared) ... where x is the vector average and a, b and c are the...

Homework Statement The position of a particle in meters moving along the x-axis is given by: x=21+22t-6t^2 Calculate the average velocity of the object in m/s during the time interval t=1s to t=3s. Homework Equations x=21+22t-6t^2 t=3 ; t=1 v avg. = Xf - Xi/Tf - Ti = Δx/Δt don't...

Homework Statement I am trying to show that the average solar irradiance over Earth's surface is 1/4 of the total solar irradiance using only calculus. Homework Equations Solar Irradiance = S_{o} Irradiance = F = S_{o}cos(θ) The Attempt at a Solution Using geometry, I can easily...

Homework Statement A ball is projected upward at time = 0.0 s, from a point on a roof 10 m above the ground. The ball rises, then falls and strikes the ground. The initial velocity of the ball is 98.8 m/s Consider all quantities as positive in the upward direction. The average velocity of...

Homework Statement The n random variables X_{1}, X_{2},..., X_{n} are mutually independent and distributed with the probability density f(x)=\frac{1}{\pi(1+x^{2})} i) Find the probability density of the average Y=\frac{1}{n}\Sigma^{i=1}_{n}X_{i} ii) Explain why it does not converge...

Particularly, what do the figures look like for the amount of energy consumed per household in 2011? As a comparison, how much energy have you consumed in 2011? Also, I'm interested to know what kind of fuels or carriers are most often used. I'm tempted to believe that coal is probably one...

Homework Statement I am having difficulty thinking about this problem. How is speed related to average velocity? A car travels along a straight line at a constant speed of 47.0 mi/h for a distance d and then another distance d in the same direction at another constant speed. The average...

Homework Statement A beam of unknown particles travels at a speed of 2.5 x 10^8 m/s. When the particles are moving at this speed, their average lifetime is found to be 7,3 x 10^-8 s. What is their average lifetime when at rest? Homework Equations Well, Lorentz transformation for time...

I'm doing a homework problem (i already know the answer) and i came across an error in my logic/application of the formula Vavg = (v + v0)/2. Hopefully you can help me understand why it's incorrect to use the formula. x = 12t2-2t3 describes a particle position. the derivative of x = 24t-6t2...

Homework Statement The problem I am doing is problem 1.55 in Schroeders Intro to Thermal Physics. Unfortunately, I have to come here for help a lot because the office hourse are not until after the homework is due...In any case, the first part of the question was to show that the potential...

Homework Statement A current of 1600A exists in a rectangular (0.4-by-16cm) bus bar. the current is due to free electrons flowing the wire at an average velocity of v meters/second. If the concentration of free electrons is 10^29 electrons per cubic meter and if they are uniformly dispersed...

Hi all, this is not actually homework or similar but the board seemed as the appropriate place for the question. I have an arm of 1m length pointing upwards from a rotation axis, on the end of the arm is a mass of 1kg, upon release the arm starts rotating downwards due to gravity (no other...

Simple average question using sig figs within ± 0.0 ? Homework Statement Consider the following measurements of mileages: 23.8 mph, 20.1 mph, 26.5 mph, 20.7 mph, 21.7 mph, 27.6 mph, 30 mph, 28 mph, 27.4 mph, 34.3 mph, 26.5 mph, 32.7 mph. What is the average mileage (using...

By spinning a magnetic field in the presence of conducting wire, how much voltage/current is produced? Thanks.

Hi guys I'm trying to work out average and rms values of two different waveforms. One is a sinusoidal wave, the other a ramped trapezoid (I think that's right). The sinusoidal wave has a peak to peak voltage of 11v and the offset is alleged to be 9-15 = -6v. This is something I've been told...

Homework Statement [See Attachment] Given: Thickness, load, G Find:γ and horizontal displacement. Homework Equations τ=γG Angle change should be the shear strain. The Attempt at a Solution I tried plugging 800 into tau and the given value of G to get γ, but that isn't...

Homework Statement Find c such that fave = f(c) c1 (smaller value) = ? c1 (smaller value) = ? f(x) = 6x/(1 + x2)2 Average value (i.e. the integral) was found to be 12/5 Homework Equations 12/5 = 6x/(1 + x2)2 The Attempt at a Solution 12/5 = 6x/(1 + x2)2 12/5 =...

Hi there. A quick question: When calculating the average energy (or any value) of a particle which is in superposition, why the sums have different summation index (n,m)? Thanks!

Homework Statement The weight of a baby measured over an 11-month period is given in the weight chart below for this problem. Weight (lb) Age (months) 6.6 0 (birth) 7.4 1.0 9.6 2.0 11.2 3.0 12.0 4.0 13.6 5.0...

A question about the average velocity of bodies undergoing one-dimensional motion and a constant acceleration (gravity in this case). A case scenario. Suppose that initially, I throw a stone into the air at a height h. For the sake of argument, let's suppose that even though I threw the...

Homework Statement Use the data table of displacement time data to get a line of best fit using your Ti-83 calculator. Once you have the equation, graph it so that you can answer the questions 1-5 that follow. Assume that the data below is for an object that is launched vertically upwards...

Solve the Integral in cylindrical coordinates ∫∫∫ dxdydz/(sqrt( x^2 + y^2 + (h-z)^2) B Where B is the Ball with a Radius R around (0,0,0), and the parameter h is greater than R. And then infer the average on that ball B with radius R of the distance opposite to the point (0,0,h). I...

Hello, Again I find my self struggling on a question I had on a test, as my teacher is a "general studies" teacher, she is not much help with physics. the question is: What is the average speed of the car for the 10 second interval? I have uploaded the graph provided, if you can't...

Hello! What is slope. Is it rate of "average change" or "rate of instantaneous" change? Please elaborate

Homework Statement The isomerization of 1-butene and trans-2-butene occurs as shown in the table at selected temperatures. Estimate the average values of ΔH and ΔS in this temperature range. T/Kelvins....K 883.... 1.10 826.... 1.20 779.... 1.36 733.... 1.49 702.....1.63 686.....1.72 The...

Need to find the net force and the average force... 1. Homework Statement A bullet of mass 12 g strikes a stationary fixed block of wood at a speed of 400m/s, penetrating to a depth of 3.0cm. Calculate the average net force acting on the bullet while it is in the wood. Calculate the average...

Homework Statement A simple pendulum of length L is pulled aside to angle θm then released from rest. For arbitrary angle θ on the path of motion the acceleration along the path is -gSinθ. The speed at this point is V(θ)= √[2gL (cos θ - cos θm)]. Find the period T of the pendulum (do not...

Homework Statement At 0.0° C and 1.00 atm, 0.95 mol of a gas occupies a volume of 0.0213 m3. (b) Estimate the average distance between the gas molecules.

Homework Statement Let Q be the region bounded by r=sin(3θ) in the first quadrant. Find the area of Q. Find the average distance of points in Q from the origin. The Attempt at a Solution I thought I could calculate area like so: \int_0 ^{pi/3} \int_0 ^{sin(3θ)} sin(3θ) dr dθ This gives...

Homework Statement A CD has a playing time of 59.8 minutes. When the music starts, the CD is rotating at an angular speed of 460 revolutions per minute (rpm). At the end of the music, the CD is rotating at 202 rpm. Find the magnitude of the average angular acceleration of the CD. Express...

Homework Statement View image below Homework Equations The Attempt at a Solution I don't understand where the normal and shear forces are applied. Are there one of each on both inclined planes or is there just one normal force and one shear force? If you could provide a drawing I...

Homework Statement View image for all details Homework Equations tao = V/A The Attempt at a Solution I went ahead and solved the force at BC and the x and y components at A, but I feel as though my solutions are incorrect. At BC I have F = 825 kN (up and to the left), A_x = 714.5...

A bullet of mass 20 g strickes a fixed block of wood at a speed of 320m/s. The embeds itself into the block of wood, penetrating to a depth of 6.0cm. Calculate the average net force acting on the bullet while it is being brought to rest.

A set of crash tests consists of running a test car moving at a speed of 11 m/s (24.2 m/h) into a solid wall. Strapped securely in an advanced seat belt system, a 57 kg (125.4 lbs) dummy is found to move a distance of 0.81 m from the moment the car touches the wall to the time the car is...

Homework Statement Shouldn't average velocity multiplied by 2 be equal to final velocity. We were doing a lab and we calculated an average time of .54 seconds to travel 1.92 meters. Multiplying the average velocity by 2 gives an extremely different answer than vf=gt. I know there is...

We got some results back from a company survey today. The speaker showed us the numbers and told us they had weighted the averages. Say, there were two questions: All the time | often | sometimes | rarely How well does our company communicate? 60% |...

Homework Statement The average speed of a nitrogen molecule in air is about 6.70 multiplied by 102 m/s, and its mass is about 4.68 multiplied by 10-26 kg. (a) If it takes 1.80 multiplied by 10-13 s for a nitrogen molecule to hit a wall and rebound with the same speed but moving in an...

Hello. I hope someone here can give me some advice for solving this problem for an introductory mechanical engineering course. Below is the problem statement verbatim, and them my attempt at solving it. Advice and guidance is greatly appreciated! Homework Statement Here is the problem...

i have an excel file containing 2 graphs [R & V], and their x & y coordinates in 4 separate lists [the X coordinates of R, the X coordinates of V, the Y coordinates of R, the Y coordinates of V] i need to calculate the X & Y coordinates of a 3rd graph through a weighted formula that takes 55%...

Homework Statement We define average value of function over a solid to be f = 1/Volume int int int f(x,y,z) dV So find the average value of the function f(x,y,z) = x^2z+y^2z over the region enclosed by paraboloid z = 1-x^2-y^2 and the plane z = 0 The Attempt at a Solution Actually...