Diameter Definition and 522 Threads

A circle is inscribed in a square with sides = 40. A smaller (of course!) circle tangent to the above circle and 2 sides of the square is inscribed in one of the corners of the square. What is the diameter of this circle?

How do you increase torque in gerotor design other than increasing flow. Will lengthening it increase torque? Will increasing diameter increase torque? What about running 2 or 3 in series?

Hi I am doing an electron gun diffraction right now and I wonder why the angle below is 2 phi. What I think about it that it's actually the results of two waves one is shown below and the other is a wave with the same accident angle but negative "those two rays will be symmetric around the...

Textbooks say it decreases flow. But, when I think about it... If you blow through a small straw, you are blowing out less volume. But wouldn't the speed of flow be higher, therefore making up for the decrease in volume? Like this: Lower volume squeezed out faster = higher volume squeezed out...

Hi. Is there any way to calculate airflow out of a tube (into atmosphere) with only the pressure and cross sectional area of the tube?

This was a MCQ question on one of my Cambridge IGCSE Exams, the answer key said that the resistance would decrease by 16 folds (1/16 less then the previous one), I don't know how they got 16 from? (Apparently, I answered 1/4 and it was wrong)

I am trying to figure out how to solve this equation. I have a car with tires of diameter 28", and they rotate 10,000 times. How far did I travel? According to my textbook it's 13.9 miles. I can figure it out by finding the circumference of the tire (87.96"), multiplying that by 10,000...

Can somebody please help me I am looking for the diameter required of a carbon nanotube to emit a wavelength of 800 nm. If I could just find a graph of nanotube diameter versus emitting wavelength.

Hey! :o We have the matrix $$A=\begin{pmatrix}0&1&0&0&0&0&0&1\\1&0&1&0&0&0&0&0\\0&1&0&1&0&0&0&0\\0&0&1&0&1&0&0&0\\0&0&0&1&0&1&0&0\\0&0&0&0&1&0&1&0\\0&0&0&0&0&1&0&1\\1&0&0&0&0&0&1&0\end{pmatrix}$$ and we want to determine the diameter of the graph. For that do we have to calculate the...

The definition of the angular diameter distance is the ratio of an object's physical transverse size to its angular size. However when I was reading my textbook, *Astrophysics in a Nutshell by Dan Maoz pp.220-221*, I am having some trouble trying to understand the notion of **angular diameter...

Hello, Can anybody please tell me the typical diameter of the exhaust nozzle of a jet engine? I know, there are different types of engines and nozzle types also vary. For instance, I am interested to know the typical diameter of the nozzle of a turbofan engine. Thanks

So I'm trying to figure out what kind of energy that I can expect out of a few different setups. Here are the barrel bore diameters. .224 .308 .5 .77 The barrels are usually rifles and some projectiles are full size (size of bore) while others use sabot's where a .224 or .308 can be shot...

Hi, Say there was a situation in which two strings are joined together, each with respective impedances Z1 and Z2, held under a tension T. I was wondering about the functional dependence of the impedance on the diameter of the strings. Thanks

Homework Statement A cylindrical rod of copper (E = 110GPa) having a yield strength of 240MPa is to be subjected to a load of 6660N. If the length of the rod is 380mm, what must be the diameter to allow an elongation of 0.5mm. Homework Equations E = stress/ strain stress = Force/Area ; Area =...

Homework Statement A solid is generated by revolving region bounded by y=(1/2)x^2 and y=12 about the y axis. A hole centered along the axis of revolution is drilled through this solid so that 1/4 of the volume is removed. find the diameter of the hole. Homework Equations y=(1/12)x^2 y = 12...

My last thread got lots of hits and was a success so I thought I would start another discussion based on the Galaxy I was speaking about, In my previous thread we found the distance to the galaxy, now I want to take this further and work at the diameter of the galaxy. If two edges of this galaxy...

Greetings, I have very little experience with fluid dynamics and I was wondering how I can calculate a pressure drop across an abrupt change in diameter of the piping used for water. Any help is appreciated! Thanks!

a belt is driven by a pulley at 33m/s the pulley rotates at 750 r/min. calculate: (a) the rotational frequency in r/s (b) the diameter of the drive pulley

Homework Statement [/B] Homework Equations - The pressure drop equation. [/B]The Attempt at a Solution

Homework Statement The star Betelgeuse is 427 lightyears from earth. Betelgeuse has a diameter 800 times that of the sun, where the diameter of the sun equals ##1.39*10^6 km##. Given that Betelgeuse has an angular resolution given by the Rayleigh Criterion of 58 nRad, is it possible for the...

Hi all, I have been assigned the task to calculate the strength of threads for the hydraulic cylinders my company manufactures. I have started doing some research and have found several guide formulas and methods to find shear area, length of engagement, force resulting in failure and so forth...

I am reading John B. Conway's book, "Functions of a Complex Variable I" (Second Edition) ... I am currently focussed on Chapter IV: Complex Integration ... Section 1: Riemann-Stieljes Integral ... ... I need help in fully understanding an aspect of the proof of Theorem 1.4 ... ... Theorem...

Basic Question Alert ! (I need to brush up my basics and need your help) Problem Statement: I wish to make a current carring cable loop to generate a controlled magnetic field. http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/curloo.html As I understand, the magnetic field generated depends...

Please bear with me, I am trying to design a shaft that will be under torsion. I do not know the diameter of the shaft and I would like to be able to calculate it by the things that I do know about the system. There's a 15HP 3 Phase motor running at 85RPM [there's a gearbox] This will be...

Was not sure whether to post here on in the advanced section, since it is part of a final year undergraduate module, yet seems like a pretty simple problem (though I still need help! haha). 1. Homework Statement A frequency doubled Nd:YAG laser (##\lambda = 532##nm) with an initial beam...

Whether the diameter/radius of pulley affects the force required in lifting a weight?

Homework Statement I am trying to verify this theorem for myself. Theorem: Every graph G containing a cycle satisfies g(G)≤2diam(G)+1 Homework Equations N/A The Attempt at a Solution i have drawn graphs and i failed to verify the theorem. is it even possible, since increasing the girth...

Greetings everyone. I am a mechanical engineering student whose professor challenged him to a project that requires some optics knowledge. After years of quietly reading the physics forums I am finally making my first post. If this question ends up in the wrong forum, feel free to move it to the...

Homework Statement The engine turns at 3000 rpm at this speed. The engine capacity has a displacement of 1.2 litres: this means that 1.2 litres of exhaust gas is expelled from the motor (into the exhaust manifold) every two* revolutions. Further assume that the gas leaves the exhaust pipe with...

Homework Statement Consider a 10 meter long gas column. We interrogate the gas molecules with a HeNe laser (lambda=633nm) at the minimum possible gas volume. If we focus the beam tightly, it will eventually diverge and the sampled gas volume will increase. Consider a minimum beam diameter D...

When winding a coil around a magnetic core, if you wanted to tap the coil such that each half has the same AC voltage output, would you: A) wind each part at the same RPM for the same amount of time, to get the same number of turns for each, or B) wind the second part proportionally less, to...

Homework Statement The figure shows a 10-cm diameter loop in three different magnetic fields. The loop's resistance is 0.10 Ω. For each case, determine the induced emf, the induced current, and the direction of the current. Homework Equations Faraday's Law: εinduced= - (ΔΦb/Δt) = - A ⋅ ΔB...

I'm in the process of calculating an axle diameter by using the bending moments which are created with the applied force on the end. In order to design my axle to be efficient, I believe I need to use the following equation. Sx = M/Fy Sx being Plastic Modulus Fy being Tensile strength of my...

Homework Statement Two cylindrical resistors are made from the same material and have the same length. When connected across the same battery, one(A) dissipates twice as much power as the other(B). Find ratio of dA/dB. Homework Equations P = VI = V2/R = I2R Area of cylinder = 2πrh + 2πr2 The...

Homework Statement Calculate the diameter of a baby's head if there is a time delay of 96 microseconds between receiving pluses from either side of the skull and the speed of ultrasound can be assumed to be 1250m/s. Homework EquationsThe Attempt at a Solution The diameter of the baby’s head...

Is it true gamma ray burst diameter can be as big as the solar system and the sky would become bright with its light even if it is 4000 light years away? Saw this at History Channel.

im doing some personal research into building my own generator. i am looking for info on how wire diameter affects the power produced by the generator. specificaly: what AWG of wire is best for coils that are being used to generate as clost to the statdard killowatt/hour as possible.

Hi, I'm trying to understand the derivation to an equation I found in the following paper: http://pubs.acs.org/doi/abs/10.1021/nn203035x I posted almost this exact question on Physics Stack Exchange but got no replies so I decided to try it here instead, I hope that's ok...

Homework Statement I need to find the pipe diameter or mean velocity. Q= 0.01m^3s Density= 960kg m^3 Viscosity = 0.081 Pa s Max Velocity = 1.8 m s Homework Equations Mean velocity= 4Q/pi.D^2 The Attempt at a Solution I have two unknowns in this equation so I'm unable to find D or Mean...

Homework Statement In a low-flow showerhead that contains 18 nozzle holes, the volume flow rate of the water is 4.00 L/min and the water maximum speed is 2.70 m/s. What is the diameter of each hole? Do not ignore viscosity of water. Homework Equations Q=Av_max Q=((pi)r^2)v_max...

I am a little rusty at the moment but let's say I have an axle with two loads being applied to it. Both 500 lb. I am trying to figure out the various stresses on it so i can determine a suitable diameter for the axle connecting the tires. The two tires and axle are all one piece. The bearing...

Homework Statement [/B] In a pulley system, pulley A is moving at 1,500 rpm and has a diameter of 15 in. Three pulleys, B, C, and D, all of different sizes, are attached to a single output axle. Speed and torque output are changed within the system by moving the drive belt between pulleys B...

[SOLVED] Find the diameter of a circle given linear velocity? Hello all! I need help with a certain type of problem. I do not know how I can find the diameter of a circular object given it's linear velocity. Here is an example problem, and I would love any explanation you could give me! Thanks...

Homework Statement Determine the diameter of a piston if the working stroke of a piston is ##h## and if a working cylinder ##(720^\circ )## describes the following ##p(V)## diagram, where on the ##x## axis is a ratio between the current volume of a piston and the total volume (swept + clearance...

Homework Statement Given this diagram, the problem is to find an expression for β/ΘE in terms of X/ΘE and Y/ΘE. Homework Equations β = Θ – α(Θ) Dsβ = DsΘ – Dlsα'(Θ) The Attempt at a Solution I really only need help starting this problem. In my textbook and every document I can find online...

Hi. There's this nice water circuit model for electric circuits where pressure corresponds to electric potential and the (mass or volume) flow rate to electric current. In the water model, we can vary the pipe diameter along the circuit. Since water is practically incompressible, the flow rate...

In my simulation I have a wire with a fixed current flowing, I observed if I change the diameter of the wire the magnetic field (B) in a fixed point of the space also changes, is it correct?

Homework Statement Two axels of steel are connected with gears. Both axels have the same diameter (d) and length (1000mm). Diameter of gear B is 150 mm and diameter of gear C is 450 mm. Gear D is stationary. A torque of 100 Nm is applied to gear A.Maximum allowed shearstress in the axels are...

Homework Statement When gas is burned in a cylinder of an engine it creates a high pressure that pushes a piston. If the pressure is 100psi and it moves a 3 inch in diameter piston a distance of 5cm every .1 seconds. How much horsepower does this action produce?Homework Equations Pressure =...

Good evening everyone, I have a pressure meter from where we determined a pressure drop of 5.5 psi (Initial pressure 45.5 psi, final pressure 40 psi). The working fluid is air. The diameter of one of the hoses that is connected to the pressure meter is 1/4". I wasn't able to take a picture of...