Homework Statement
(a.) This was just a log-log plot of the otto cycle
(b.) Derive an expression for the ratio of maximum to minimum temperature experienced by the cylinder head during the part of the cycle that contains only isochoric and and adiabatic transitions in terms of the compression...
For example, one of the methods I used was:
\frac{dQ_H}{dt} = \frac{\theta_H}{\theta_H - \theta_C} \frac{dW}{dt}
Which, when \theta_H = 275 K and \theta_C = 270 K give \frac{dQ}{dt} = \frac{1}{55} \frac{dW}{dt}
But then I don't really know what to do with that?
Homework Statement
(a.) For an Ideal Gas Carnot engine, what is the relationship between heat absorbed and rejected by the reservoirs and their temperature? If a heat pump is used to transfer this heat, what is the rate at which heat is added to the hot reservoir in terms of the temperatures of...
Oh sorry that was supposed to be
z = 0 - (1 - \rho^{1/3})
I had considered the limit of \rho to be the problem, but isn't the lower limit of \rho = 1 when w's lower limit is 0?
Okay, thanks. That makes sense
One final point I wanted to ask about (sorry to have dragged this out so much!) in calculating the volume using spherical polar coordinates, I'm getting a negative answer still...
I think it could be perhaps a problem with my limits, which I've used (in...
I was comparing homework questions with a friend earlier and they've confused me now. They were assuring me that for the part where we have the two surfaces and have to use the divergence theorem, that we add the two surfaces together on the RHS (as I did) but on the LHS calculate (\nabla...
Ah great thanks. After using the divergence theorem to compute the volume of the body, (which I did by adding the integral of s1 to the integral of s2) the next part is to verify the result by explicitly calculating the volume in polar coordinates.
To do so I calculated \int_v (\nabla \cdot...
Homework Statement
Consider the surface S_1 described by the equations
x = (1-w)^3cos(u), y = (1-w)^3sin(u), z = w, 0 <= u < 2\pi, 0 <= w < 1
The first few parts of the question were quite simple. Firstly we had to calculate dS and then compute the surface integral for the vector field...
I realized I mixed up A with C in my first post when I gave the transmission probability. Will it still work if I keep the transmission as a ratio with C as the denominator rather than normalizing it?
My constants correspond to those on the wikipedia article. So I have,
A = B_2a \\;
B = B_1 \\;
C = A_r\\;
D = A_l\\;
G = C_r\\;
I understant that the constant I would've had F disappears because there is no particle from the right, but I don't understand why D \; (or \; A_l) becomes 1...
Homework Statement
A beam of particles, each of mass m and kinetic energy E, is incident on a potential barrier
V(x) = V_0 \; \; for \; \; 0 \leq x \leq a
\; \; \; \; \; \; \; \; \; = 0 \; \; for \; \; x < 0 \; \; and \; \; x > a
E = V_0 \; \mbox{is the special case}
The part...