Hi,
I'm trying to calibrate a voltage divider circuit to measure force. I have measured the current output at two different weights, converted the weights to forces using "f=mg" and calulated a gradient from that using "y = mx + c" as well as the constant.
However, I don't feel what I did...
1. Homework Statement
A static electrically conducting fluid, in the presence of electric and magnetic fields, experiences a Lorentz force. Determine the fluid pressure at point (1,2,1) when the pressure LaTeX Code: p_{0} at origin (0,0,0) is under the effect of gravity and the electric and...
Homework Statement
A static electrically conducting fluid, in the presence of electric and magnetic fields, experiences a Lorentz force. Determine the fluid pressure at point (1,2,1) when the pressure p_{0} at origin (0,0,0) is under the effect of gravity and the electric and magnetic field...
Homework Statement
Using indical notation, prove that a 2nd order symmetric tensor D remains symmetric when transformed into any other coordinate system.
Homework Equations
Tensor law of transformation (2nd order):
D'_{pq} = a_{pr}a_{qs}D_{rs}
The Attempt at a Solution
I think I'm...
Homework Statement
Using indical notation, prove that D retains it's symmetry when transformed into any other coordinate system, i.e. D'_{pq} = D'_{qp} (where D is a symmetric 2nd order tensor)
Homework Equations
D'_{pq} = a_{pr}a_{qs}D_{rs} (law of transformation for 2nd order tensors)...
Homework Statement
Simplify/Evaluate these expressions involving the Kronecker delta, using Einstein's summation convention:
a)\delta_{qr}\delta_{rp}\delta_{pq}
b)\delta_{pp}\delta_{qr}\delta_{rq}
Homework Equations
\delta_{ij}=0 when i =/= j
\delta_{ij}=1 when i = j
The Attempt at...
Hi,
would anyone be able to explain how to evaluate a function using orthogonality (i.e. using orthogonality to solve a definite integration problem with sines/cosines)?
Thank you
Homework Statement
Solve the heat flow problem using the method of separation of variables:
Homework Equations
PDE:\frac{\partial u}{\partial t}=k\frac{\partial^{2} u}{\partial t^{2}}
for 0<x<L, 0<t<\infty
BC's:\frac{\partial u}{\partial x}(0,t)=0,\frac{\partial u}{\partial x}(L,t)=0...
Homework Statement
Find the link between constants \omega and \beta
so that http://www4e.wolframalpha.com/Calculate/MSP/MSP181963g2e5f4i43d3b00005ief8e24920ah323?MSPStoreType=image/gif&s=20 [Broken]
is a solution of \frac{\partial^{2} u}{\partial x^{2}}=2\frac{\partial u}{\partial t}
(A...
Homework Statement
A watercraft is crossing the stream to reach the pier. (See attached figure.)
Basically, I have to derive an ordinary differential equation of the path the watercraft travels, which I can then solve using MatLab, etc.
i.e. derive \frac{dy}{dx} in terms of V_{W}, V_{B}...
Homework Statement
“Geologist A” at the bottom of a cave signals to his colleague “Geologist B” at the surface by pushing a 11.0 kg box of samples from side to side. This causes a transverse wave to propagate up the 77.0 m rope. The total mass of the rope is 14.0 kg. Take g = 9.8 m/s².
How...
Do determinants of a 2-space matrix have a unit of [units]^2?
Also, does A_parallelogram = || u x v|| have a unit of [units]^2 too?
This has confused me as Area has a unit of [units]^ 2 but the examples from the Contemporary Linear Algebra (Anton and Busby) text book does not state any units...
Homework Statement
A car goes around a curved stretch of flat roadway of radius R = 104.5 m. The magnitudes of the horizontal and vertical components of force the car exerts on a securely seated passenger are, respectively, X = 236.0 N and Y = 572.0 N.
This stretch of highway is a...
Homework Statement
A plane of mass 1220 kg has an engine failure when flying with an airspeed of 138 km/h at an altitude of 2960 m on a calm day. It then glides at a constant glide angle (which is the direction of flight below the horizontal) 6.80 degrees towards a safe landing at this...
Homework Statement
What is the percentage increase in the rate of heat radiated from a person with a surface skin temperature of 34.0 °C compared with the same person with a skin temperature of 33 °C?
Homework Equations
Stefan's Law of emission:
P = σAeT^4
- P = rate of energy...
Density of water vapour in the air involving compression
Homework Statement
A volume Vi = 23.2 L of air at temperature T = 22 °C is compressed at constant temperature to a volume Vf = 11.0 L. The relative humidity of the air before compression is H = 59.4 %. The saturated vapour pressure of...