Isotropic Definition and 114 Threads

For an isotropic material, the relation between the longitudinal ultrasonic velocity(VL), the transverse (shear) ultrasonic velocity(VT) and the Poisson's ratio (nu) is given by (VT/VL)^2 = (1-2*nu)/(2*(1-nu)) From the above relation, one gets that VL=0 when nu=1 which is not...

1) Isotropic loudspeaker A certain loudspeaker system emits sound isotropically with a frequency of 2.00 x 103 Hz and an intensity of 1.00 x 10-3 W/m2 at a distance of 7.00 m. Assume there are no reflections. Use 344 m/s for the velocity of sound in air and 1.21 kg/m3 for the density of air...

Hello, I consider only Cartesian tensors in the following. The definition of isotropic tensor function I know is 1) T = F ( G ) such that, for any rotation ( ' = transpose), 2) O F( G ) O' = F( O G O' ) But, if I change to component notation, it seem to me that any tensor function is...

What are their differences? Spatially homogeneous is when there is uniform composition of space Spatially isotropic is when you look anywhere, they look the same Is it the case that one is visit anywhere, it is the same and the other is look anywhere they look the same? They seem...

Does the luminous intensity due to an isotropic point source of light at a point on a surface depend on the angle it makes with the normal to the surface?

I'm stuck on this problem: The initial conditions for a two-dimensional isotropic oscillator are as follows: t=0, x=A, y=4A, v=0i +3wAj (vector) where w is the angular frequency. Find x and y as functions of t. Where do I even begin with this problem. I take it A = constant. Can anyone...

I am really lost here :( The equation of motion X(t)=Ax Cos(wt-delta(x)) Y(t)=Ay Cos(wt-delta(y)) by shifting the origine of time ( t'=t+to where I need to figure out what is appropriate for time to ) and ( Delta=Delta(y)-Delta(x) ) I am suposed...

Do you aggree that there is an inertial reference frame in which light in free space propagates isotropically whereas in all other inertial reference frames its propagation is anisotropic?

I'm given some initial conditions for a 2-d isotropic oscillator: At t=0: x=A, y=4A, dx/dt = 0, dy/dt = 3wA Solving the differential equations of motion and using those conditions, I get the following: let\ \gamma = tan^{-1}(-3/4) x(t) = A cos(\omega t) y(t) = 5A cos(\omega t + \gamma)...

Hello everyone, this seems like a great forum here with a lot of knowlegable people and I was hoping someone could help me out with this question. I'm an engineering student and I've recently decided to switch into physics. Now I'm trying to catch up on the math I'm going to need, so I'm...

[FONT="Courier New"][SIZE="2"] ok. mass held by six springs and is located at the origin. Potential function is given by V = k/2 (x^2 + 4y^2 + 9z^2). at t = 0 the mass is given a push in the (1,1,1) direction imparting v[SIZE="1"]o[SIZE="2"]. find x(t) y(t) z(t) numerically if k = m(pi^2). part...

Well, what is it? If two particles are interacting in an isotropic harmonic potential, then how does this differ from an ordinary harmonic potential?

hi, I was going through my homework and i came to a problem that i can't seem to get. Consider the mass attached to four identical spring. Each spring has the force constant k and unstreched length L_0, and the length of each spring when the mass is at the origin is a(not necessarily the same...

Is Cosmos Homogeneous, Isotropic ? Is the universe really homogeneous and isotropic? The answer is hidden within the structure of spacetime.