Calculation Definition and 1000 Threads

Hello, i am asking a question: is there any formulation of wind tunnel blockage ratio? i will carry out experimental study in a wind tunnel, the aspect ratio (AR)=5, and what equals the blockage ratio? if someone helps me, i will be very happy :) thank you...

I was looking through my notes and came across this (above) I understand the calculation etc but I don't see where the number of atoms N was calculated? I don't see where it has come fromAny help would be great thanks in advanced

Homework Statement A 25kg box of bricks is to be pushed up a ramp and into the back of a pickup truck. The box-ramp system has coefficients of friction (static = 0.6, kinetic = 0.45). If the ramp is placed at 32 degrees with respect to the horizontal, draw a free body diagram to answer the...

Dear all When we calculating the cross section of particles, we apply the trace calculation. This is not clear for me, why we use the trace calculation? Thank you all.

This is a problem from Boyd Nonlinear Optics chptr 1 problem 2. Homework Statement Numerical estimate of nonlinear optical quantities. A laser beam of frequency ω carrying 1 W of power is focused to a spot size of 30μm diameter in a crystal having a refractive index of n =2 and a second order...

A Cantilever beam of SiO2 of length 100μm, width 20μm and thickness of 5μm. How to calculate the resonant frequency? I know f=1/2∏√(k/m) where k=3EI/L^3 and mass = l*w*h *ρ (density) and I = w*t^3/12, but i don't get the desired answer. pl correct me. What changes are to be considered for...

In wiki there is the follows formula: https://en.wikipedia.org/wiki/Green%27s_theorem#Area_Calculation But, I don't understand why M = x and L = -y. I don't found this step in anywhere.

Here's the question: One of the brightest stars in our night sky is a red supergiant with a mass about 10× the Sun’s mass and a radius about 1000× the Sun’s radius. At the end of its life it will explode as a supernova and then collapse and become a black hole. How large will the black...

Hi, I was thinking of something: How are one supposed to calculate the moment needed for a scoop to scoop up a sample of e.g. sand? Does the classical p=mv work? Any ideas or comments?

Trouble replicating a calculation in "Silicon Nanoelectronics" I'm reading the textbook "Silicon Nanoelectronics" and I've encountered an equation for the transmission probability, which you can see among the attachments. In this equation, T is the transmission probability for a...

I'm trying to predict the possible pull force of some electromagnets from the following equation: FPull= ( n x I ) 2 μ0\frac{A}{(2 g ) ^ 2} F : Force. n : Number of turns. I : Current. μ0 : permeability of air. A: Area in m2 g : the gap that is separating the electromagnet and the object...

I don't feel all the way safe with my knowledge of power and work, so I am basically asking for someone to take a look at my work, and see if I am off base or not. Here is the problem (of which I do not know the answer to): A ski-elevator consists of a rope that skiers hold on to. The rope...

Homework Statement Three point charges are located in an equilateral triangle with side 0.330 cm, where q1 = +8.30 µC, q2 = −8.20 µC, and q3 = +1.90 nC. A) What is the electric field at the location of q3? Enter the x component, then the y component. B) What is the force on q3? Enter the x...

Hi In my lecture notes we making some calculations and all terms \mathcal O(M^3) are to be thrown away. Here M is the Mach number. Now, there is the expression (u denotes the velocity): uu\partial_t \rho \approx \rho_0 uu\nabla u which in my notes are thrown away because they claim it is...

Hello, How is it possible to calculate the static thrust from a fan given power, radius, air density, and propellor efficiency? I've did some research and found various equations that all gave me varying results. Does anyone know what the real static thrust equation is? Thanks...

Hello, I'm building a generator and have completed initial phase. I made coil with 300 turns, which gives me 12v when rotor is turned at 2000rpm, if I short the coil it gives me 16 amp. 1] Now I'm wondering what is the output wattage of the generator I built / described? 2] If I use 18...

Homework Statement Hi everyone, I'm trying to calculate the flow rate of air in straight tubing that is 30cm long and has a diameter of .1875 in and has an outlet into a 100 mL vial which is vented to the atmosphere. The starting of the system pressure is 20 psi and the ending psi is 14.6...

Hello there, I was taught: a = {v^2 \over R}. I substitute v for the speed of the rotating Earth at the equator, and the radius, R = 6378m. And I get a = 0.03 \rm m/s^2. It looks like the equation a = {v^2 \over R} may incorrect. Why am I taught this equation in University if it is false...

Homework Statement A cantilever beam (prismatic, rectangular cross section) is loaded at the tip by a force P and at half its length L by a moment M. a. Calculate the reaction force and moment. b. Draw the shear force and bending moment diagrams Homework Equations ∑F=0; ∑M=0 The...

Homework Statement Find the deflection at x=L/4 and x=L/2 for the beam Homework Equations See attached pic. The Attempt at a Solution So I have the solution derived in class. Only 0<x<L/2 is derived because since the load on the beam is at L/2, the equation is valid for the...

Hello, I have been given the attached assignment which has completely baffled me. I was also given an similar example question with a solution by my lecturer but I want to understand what I'm doing instead of just copying the answer without actually understanding it. I would really...

Homework Statement The Apollo 11 astronauts set up a panel of efficient corner–cube retroreflectors on the Moon's surface (see figure below). The speed of light can be found by measuring the time interval required for a laser beam to travel from the Earth, reflect from the panel, and return...

Greetings All - Per F=BIL I can calculate quantity of Force on coil (or magnet), when I draw certain amount of current from the generator. So I need help in calculating the Force and then weight equivalent of it. Let's say I have Single coil [with 300 turns] generator [wire length = 92...

Hello! :o Having the transformation t=τ+p, I want to calculate the jacobian $\frac{J(t,τ)}{J(τ,p)}$. Isn't it $$ \frac{J(t,τ)}{J(τ,p)}=\begin{vmatrix} \frac{ \vartheta t}{\vartheta τ}& \frac{\vartheta t}{\vartheta p} \\ \frac{\vartheta τ}{\vartheta τ} & \frac{\varthetaτ }{\vartheta p}...

Homework Statement Given the transmitting power of 0.1 mW and received noise of -100 dBm. Consider a signal which needs a SNR of 30 dB. Calculate the range for a signal of 0.5 MHz given that the damping for the signal is calculated as: L = 10 +8.0*f [dB/km] where f is the...

Hello. I'm trying to add a mechanical (pneumatic or electrical) brake to a shaft. I have a 2" diameter shaft rotating at 8 rpm's max. The shaft has and 60" diameter, 6500lb. cylinder attached to it axially. How do I calculate the maximum torque of the shaft? Thanks in advance, Frank

Homework Statement A sample of sulfur, mass 2.56g, is burned in excess oxygen inside a calorimeter of heat capacity 923 J/K and insulated by 815g of water. If the sole product of combustion is SO2(g), what is the expected increase in temperature? Homework Equations q = mcΔT q = CΔT...

I have designed and built a device that harnesses centrifugal force.The power output is in the form of 2 x 10mm steel rod "pistons" that move up and down a distance of 15mm. I have measured the weight these pistons can lift to be 122lbs when the device is operated @ 4000rpm. Each piston moves...

I'm trying to calculate the power factor of a three phase synchronous generator torque angle = arctan^-1 (impedance) (sin torque angle/ current x voltage) 90 - torque angle - sin = XYZ power factor is cosine XYZ Is this the correct calculation to use?

Homework Statement I need to find out how much heat is generated by a brake. I know heat generated = friction The parameters that will affect it friction are Normal load (I can choose depending on outcome) Coefficient of friction (assumed 0.8 between carbon fiber and steel plate) Area of...

When all the 4 wheels are braking,it seems logical to write the longitudinal acceleration like this- $$m_{vehicle}.a_x = Sum of F_B $$ Where F_B are the brake forces at the 4 wheels. Now,what would the equation look like when ABS is working? Some of the wheels would be braking while...

Homework Statement If given cumulative (Adding up every increment to the next) KWh values at an interval of 5 mins each. is it possible to determine instantaneous power from it? Homework Equations P=IV P(t) = VI cos(ωt) cos(ωt −θ )The Attempt at a Solution Well, because the question is more...

See attached for problem Working: Mean: 1203.26 Standard Deviation: 7.047 for 99% confidence interval, level of significance = 0.01 Therefore 0.5 - 0.01/2 = 0.45 Reading 0.45 from standard distribution table i get a value of 1.65 therefore confidence interval should be...

http://www.wolframalpha.com/input/?i=integral+of+1%2F%283x%2B1%29%3D1%2F3ln%28x%2B1%2F3%29 Why is 1/3 ln((x+1/3)) not right? 1/(3x+1)=(1/3)(1/(x+1/3)) Use substitution u=x+1/3, du=dx. Why is this wrong?

I need to find a suitable mathematical method of calculating the stresses at multiple points of a circular ring subjected to point loading. I'll calculate the rest myself- any suggestions?

hey, So i need a formula that will help me calculate the torque required to run 2 wheels that support a certain weight. The things i know are follows: Total weight of the vehicle: 650-700kgs Wheel Diameter: 16-17 inches Average Velocity i will require the vehicle to move at: 10m/s...

Since Colour Force is Strong Interaction, is there a equation to calculate Strong Interaction or express it mathematically? The closest I came to is the Coupling Constant but it doesn't provide a equation for Colour Force. I was also looking at the Gluon Field Strength Tensor, is this related...

Hello, While dealing with Kepler's 2nd.law, when calculating the area of the triangle which sweeps out: Area of a triangle = 1/2 base x height Now, we know dθ = dx/r (where dx = arc length, r=radius) So, dx= rdθ So, area of a triangle = 1/2 base(rdθ) x height(h) Is this...

Please, I'd need some help. Although I am not sure if this is again the correct thread, but since it concerns muon decay I bring it here. So... I am trying to find out why the differential below, in spherical cordinates becomes: d^{3}p_{\bar{v_{e}}}=-\frac{E_{\bar{v_{e}}} E_{v_{μ}}}{E_{e}}...

I have a doubt that I would like to solve with your help. The 1st solution I have is 10 mg/10 ml from the above solution 1/10th is diluted that should be (0.1) from the above 1/10th diluted solution another 1/10 is diluted again from this once again diluted 1/10th solution 1/5 is again...

Dear Friends, I have power material packing station which is about 1.5 M X 1.5 M X 1.2 M(H) , when i take the material the fly dust is very more and create fatigue to the man. I would like to provide a dust collector bag filter system , So please give me the formula to calculate the blower...

can anyone tell me how to calculate G force of an airplane of mass=79015, velocity=257.2 m/s turning uniformly at a radius of 100 meters. I use the formula as f=mv^2/r i don't know if its correct but i get an answer of f=52269876.376 then i substituted in the equation f=ma .. and i got a=...

Hi, I need to calculate the time for an index plunger to fully release. Can anyone help. The basic setup is simple. It pretty much identical to a collapsible loft ladder. Within a sliding mechanism, we have a fixed plate and a sliding plate. A plunger is housed within the fixed plate. This...

Homework Statement Given two positive numbers calculate their weighted average(Note: This is not actually a homework question, but silly me have doubts, so I put it in this category) Homework Equations Two given positive numbers a,b. No separate weights are available to weigh each...

I have to calculate the following indefinite integral. i know that i have to do it with substitution,but here's my problem,im not enough good to do it. So integral is : $$\int \frac{3}{x^2-4}dx$$

Hello Homework Statement A gas of atoms, each of mass m, is maintained in a box at temperature T. The atoms emit light which passes (in the x-direction) through a window in the box and can be observed as a spectral line in a spectroscope. A stationary atom would emit light at the sharply...

Homework Statement I have to calculate the Ksp value for calcium hydroxide from experimental data. We titrated 10.00 mL of saturated Ca(OH)2 aqueous solution with 11.00 mL of 0.01607 M EDTA. Homework Equations The Ksp formula is given in my manual as [Ca^2+]*[OH^-]^2 The Attempt at...

I am a M-tech student working on a project of Drop weight impact testing machine for measuring the crashworthiness of structure. As it will be a lab-scale model, the budget doesn't allow me to include load cells for measuring peak impact force by load-displacement graph. I am planning to...

Hi, I'm looking for a program that will take [1 + (1+p)]*p and return the unchanged polynomial. i.e. 2p + p^2 I know that MATLAB allows u to do polynomial convolution but for my purposes a program that returns the polynomial in the above format will be much much easier to work with...

Hi everyone! I have (I think a major) problem so I'm hoping you could give me some useful advice. I am working on my thesis where I am statistically estimating this type of equation: dlny=α+β1*dlnx+β2*dlnz+β3*dlnx*dlnz where dln stands for differencing a natural logarithm of the variable...