Dimensions Definition and 1000 Threads

Hi, I need to find the dimensions for O ring grooves for different size o rings, for static, dynamic and face sealing. Does anyone have a web link for these for BS and/or ISO metric dimensions. All the ones i can find are subscription ones. Many thanks Ed

I understand calculus, I just don't understand how it is applied to solve these sorts of problems. Homework Statement What is the smallest perimeter for a rectangle with an area of 16, and what are its dimensions?Homework Equations A=L*W P=2W+2L The Attempt at a Solution I managed to get the...

Does string theory use multiple dimensions to explain why certain particles don't interact with others? If so, why wouldn't shape be used; as it is when explaining why certain proteins don't interact with cells?

Kaluza Klein in 8 dimensions with the 4 dimensional compact space being the homogeneous space H=SU(3)/SU(2)xU(1), so that the resulting KK bosons are those of SU(3). Similarly, KK in 10 dimensions with H x T^2 as compactified space will produce a SU(3)xU(1)^2 gauge theory. For energies smaller...

I am quite familiar with 11-dimensional string theory and with the concept that the other seven dimensions outside of the four we can perceive are, in theory, curled too tightly (meaning too small) for us to see. However, is it possible that instead of being too small, they are too large...

Homework Statement In a road test,a car was uniformly accelerated from rest over a distance of 400m in 18.5s. The driver then applied the brakes, stopping the car in 4.9 s with constant deceleration. a) calculate the acceleration of the car for the first 400m. b)Calculate the average...

Hello, I have some trouble seeing why the solution of the wave equation in 2 dimensions exist at all later times once it passes an initial disturbance... For example, take a simple case where the initial position is zero, and the initial velocity equals some function inside some circle domain...

Is it possible?

Would the Gravitational force be applied equally across multiple dimensions or exponentially? Could you measure the Gravitational force across 3 dimensions and the take that value divide by 3 and get the value of the gravitational force across 1 dimension?

A 3+1-dimensional Lorentz transformation can be written as \Lambda=\gamma\begin{pmatrix}1 & -v^T\beta \\ -v & \beta\end{pmatrix} where v is a 3×1 matrix representing the velocity difference, \gamma=1/\sqrt{1-v^2}, and \beta is a 3×3 matrix that's orthogonal when v=0. When \beta=I, \Lambda is...

Hi everyone, I know that in P=nRT/v R = 8.314 m3*Pa/mol*k Now, when you are trying to calculate P, if you have volumn in m3 on the bottom, everything cancels out and you are left with Pa. I've just developed a simulator which simulates particle motion over time and calculates...

Why does string theory need so many dimensions? i know in our 3 it would break special relativity but i don't know why

Hi all, I'm a biologist with a mathematical and statistical question. I have a dataset of measurements of the maximal cross-sectional width of icosahedral bodies inside bacteria. Since they are icosahedral, the cross-sectional width (if precisely through the middle of the object) is a measure...

do all of the equations and postulates of the general theory of relativity apply in a universe with only 2 spatial and one time instead of 3 spatial and one time.

Homework Statement An airplane with a speed of 59.6 m/s is climbing upward at an angle of 40° counterclockwise from the positive x axis. When the plane's altitude is 600 m the pilot releases a package. (a) Calculate the distance along the ground, measured from a point directly beneath the...

This is perhaps a stupid question but: When we use natural units and set h=c=1, do we choose appropriate units so that their value is one but these constants still have dimensions, or are we somehow choosing h=c=1 to be a pure number with no dimensions?

Homework Statement The ends of two identical springs are connected. Their unstretched lengths l are negligibly small and each has spring constant k. After being connected, both springs are stretched an amount L and their free ends are anchored at y=0 and x= (plus minus)L as shown (Intro 1...

Homework Statement A brick is thrown upward from the top of a building at an angle of 25 degrees to the horizontal. It's initial speed is 15 m / s. If the brick is in flight for 3 seconds, how tall is the building? Thanks for the help. Homework Equations The Attempt at a Solution i thought i...

Homework Statement if x_{1}= \begin{pmatrix}2 \\ 1 \\ 3\end{pmatrix} x_{2}= \begin{pmatrix}3 \\ -1 \\ 4\end{pmatrix} x_{3}= \begin{pmatrix}2 \\ 6 \\ 4\end{pmatrix} (i) show that x1,x2 and x3 are linearly dependent (ii) show that x1...

in M Theory. The concept seems like a bit of mathematical trickery to me. If you come up with enough variables, you can ultimately model any logical system without having much insight into the system's fundamentals. I'm not dissing the theory or anything. Basically I don't understand it well...

Homework Statement Hello, I am having some trouble with the two questions below: 1) The University of Maryland's mascot is a terrapin (a snapping turtle). It is represented on campus by a bronze statue in front of the library named Testudo. Unfortunately, students rub his nose for luck on...

Hi, I am also having trouble with the hockey puck question. A hockey puck rebounds from a board as shown in my diagram. The puck is in contact with the board for 2.5 ms. Determine avg acceleration of the puck over the interval. Vi = 26 m/s Vf = 21 m/s I tried the cosine law but I keep...

Maybe someone could inform me a little on what I'm talking about, because, honestly, I have no idea. If 11 dimensions=1 string theory -> 10 dimensions=5 string theories, is it possible to derive(right word? maybe) more string theories using lesser dimensions? Thanks. Even a yes or no answer...

Homework Statement Use Coulomb's law to determine the magnitude and direction of the electric field at points A and B in Fig. 16-57 due to the two positive charges (Q = 4.0 µC) shown. The Attempt at a Solution Basically, I'm completely lost. I've applied Coulomb's law to find the...

Homework Statement X and Y are dimensionally different. (They have different units.) Select ALL the physically meaningful operations. State which are true or false 1. X/Y or X*Y 2. X+Y or X-Y 3. e^(X/Y) or e^(X+Y) 4. X^2 +Y^2 or X^X + Y^Y 5. X^2 or Y^2 6. X^(1/3) or Y^(1/3)...

Homework Statement Homework Equations Fe = (kq1q2)/r^2 The Attempt at a Solution So for part A and B what is the best way to go about doing this? Could I find the distance between the charges and just use coulombs formula?

Homework Statement Two particles with masses 2m and 3m are moving toward each other along the x-axis with the same initial speeds v. Particle 2m is traveling to the left, while particle 3m is traveling to the right. They undergo an elastic, glancing collision such that particle 2m is moving...

Through a period of 60 years we developed quantum physics that enables us to imagine far beyond the capacity of an ordinary human mind. Quantum physics developed several String theories that were united in creation of M-Theory. M-Theory invovles 11 dimensions including the 4 dimensions that...

Topological Strings = 3 Superstrings = 10 Bosonic strings 26 Tensionless strings = arbitrary Do you know of any others that could fit in other dimensions not listed above?

Is it true that the existence of extra dimensions can lower the unification scale to the GeV scale? Does this mean that the LHC would be in range to detect a unification of couplings if this were true?

Why only three "non curled up" spatial dimensions? Is there a reason (inherent in the theory) that string theory describes 10 spatial dimensions with 7 of them curled up rather than having 8 or 3 curled up? In other words, is this curling up a consequence of other parts of string theory, or is...

Hi guys, I'm reading about unification of gauge couplings in the presence of extra dimensions but I'm coming unstuck in my understanding of what a Kaluza-Klein mode/excitation/tower is. I've looked ont he net and in string theory books but have been unable to find mcuh that is helping my...

Hi, Let's say I have two points: Pa = (0, 0, -30) Pb = (-2.5, -2.5, 7.5) and I want to find the X and Y values for a third point on this line whose Z value is 30: Pc = (X, Y, 30) How can I achieve this? My math is not very great and I'm applying this to a computer program. So...

Homework Statement http://hypertextbook.com/physics/mechanics/momentum-two-three/an-elastic-collision-in-2d.pdf Homework Equations P = MV P= (r,θ) p'=mv' m1v1 + m2v2=m1v1' +m2v2' The Attempt at a Solution (2.00kg)(13.42 m/s) + (1.00kg)(12.73 m/s) = (2.00kg)(v1')+ (2.00kg)(21.95...

I watched astrophysical lectures by a scientist on the internet, and he claims that there are a total of twelve dimensions of space and time. Inlcluding "hyperdimensional" metaphysical universes and "spiritual" realms of being that are non-physical, and bear non-physical conscious...

Please could someone help me with this question, thank you. Find dim[Ker(D^2 -D: P_3(F_3) ==>P_3(F_3))] Where dim is dimension, Ker is kernal D is the matrix 0100 0020 0003 0000 D^2 is the derivative of D is it equals 0020 0006 0000 0000 And F_3 is the field subscript3...

Hello, If there is an oposite dimension to ours, does that mean that there would be an oposite me? If it does, does that mean that if I was thinking of the oposite me would the oposite me be thinking about me? Or would he be doing the oposite of thinking about me? Sorry if it sounds like a...

1. Variables Given a generalized basis in three dimensions: e_{1},e_{2},e_{3} and the standard Kronecker delta \delta_{ij}, and using Einstein summation. With the vector \textbf{x},\textbf{y},\textbf{z} I'm trying to simplify this problem: 2. Problem \delta_{il} . \delta_{jm} . x_{j} 3. My...

The Larmor formula is: P=\frac{\mu_0 q^2 a^2}{6\pi c} When I checked the units of this, I got [kg m^2 s^-1]. If it is in watts, shouldn't it be [kg m^2 s^-3]? I was pretty thorough in putting everything in SI units. \mu_0 is N/A^2 or kg m s^-2 A^-2. q^2 is C^2 or A^2 s^2 a^2 is m^2...

Any models worth checking out that do not rely on small curled up dimensions? And by large dimensions I don't mean 1mm, I mean all dimensions equally large.

Hi there, I'm new to this but trying like hell to figure the basics of this out, (as I did a while back but failed, then went off and left it.) and was wondering if this is why there's 11 dimensions : 1. Height 2. Width 3. Depth 4. Time Then we move onto the stuff that causes many of us...

M-theory, the latest version of string theory, posits 11 dimensions (ten space dimensions, one time dimension). Earlier versions posited ten or fewer dimensions. Brian Greene and other string theory proponents envision the first three "extra" space dimensions (beyond the three space...

Homework Statement Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r. Homework Equations (x-a)^2 + (y-b)^2 = r^2 max area = 2x(2y) = 4xy The Attempt at a Solution (x-a)^2 + (y-b)^2 = r^2 = y=r-(x-a)+b I then plug...

Homework Statement Assume an elastic collision (ignoring friction and rotational motion). A queue ball initially moving at 4.3 m/s strikes a stationary eight ball of the same size and mass. After the collision, the queue ball’s final speed is 2.3 m/s . Find the queue ball’s angle with...

This applies to the small extra dimensions. The rolled-up compact kind that we wouldn't see if they were there. Paul Steinhardt has just posted a paper proving no-go theorems that exhibit an impressive degree of incompatibility between compact extra dimensions on the one hand versus the...

As far as i know, a dimension is basically spatial parameters in which "stuff" can move. I think that what bugs me the most about physics is that we know the what but not always the why... obviously this is not anyone's fault especially because finding out why things are the way they are is much...

http://folk.ntnu.no/stoylen/strainrate/mathemathics/ This page shows how to find shear strain in three dimensions. I understand how they found the shear strains as x and y components from dividing the change in length by the original length. But from the line "From the figure, it is...

If V and W are 2-dimensional subspaces of R4 , what are the possible dimensions of the subspace V intersection W? I am new to subspaces, so I have no clue to this question. Help guys! Options: (A) 1 only (B) 2 only (C) 0 and 1 only (D) 0, 1, and 2 only (E) 0, 1, 2, 3, and 4

Hi everybody, I want to tackle the study of the physics of new dimensions: theoretical and phenomenological (Dark matter) aspects. Could you please point to some interesting books/articles ? Thanks in advance.

Homework Statement A train at a constant 79.0 km/h moves east for 25 min, then in a direction 37.0° east of due north for 18.0 min, and then west for 54.0 min. What are the (a) magnitude (in km/h) and (b) angle (relative to north, with east of north positive and west of north negative) of its...