I am currently in the process of designing an engine dynamometer for a small engine. Maximum power of 1 KW @ 7000 RPM and a maximum torque of 1.6 Nm @ 5500 RPM. Here is my proposed method, but I have some concerns that I'll state below:
Prony Brake
Essentially a friction dyno, I would...
Homework Statement
Homework Equations
The Attempt at a Solution
This is one of our past homework assignments with the solution given to us. I'm trying to work my way through each part of this assignment but am getting stuck on a few aspects of the model.
My approach:
I first set up a...
Can anyone tell me who is a Mechanical Engineer and works in a Nuclear Power Plant, just what their daily duties include? How they like the work environment and such. I'm interested in knowing because as a student, my university has a Co-op program. Recently, I sent out my resume to FirstEnergy...
Homework Statement
Homework Equations
Provided above
The Attempt at a Solution
Piezometric head is defined as the pressure head plus the elevation head, correct? But how does having a high piezometric head tell you about the fluid flow?
Since the diameters are equal, the area's are...
Homework Statement
Homework Equations
h_2 - h_1 = (u_2 + P_2v_2) - (u_1 + P_1v_1)
The Attempt at a Solution
I thought I had to look at the charts in the book for saturated liquid, then notice that the temperature is much higher at the given pressure than what was given in the problem...
Determine whether the integral converges or diverges:
\int_0^{\infty}(t^{-2}e^t) dt
What would be the first step here in determining convergence or divergence?
Homework Statement
[PLAIN]http://img192.imageshack.us/img192/8428/circuits.png [Broken]
Homework Equations
\frac{V_L}{V_s} = \frac{nR_L}{n^2 R_s + R_L}
R_s = \frac{R_L}{n^2}
P = \frac{V_L^2}{R_L}
The Attempt at a Solution
How should I go about solving this problem? Do I...
I'm having some problems recognizing duplication when using the undetermined coefficients method to solve homogeneous type differential equations.
http://college.cengage.com/mathematics/larson/calculus_early/3e/shared/chapter15/clc7eap1504.pdf
Example 2 on Page 1119, could someone explain...
Find the complementary solution of y^\left(4\right) + 2y'' + y = sint
Homogeneous Form would be y^\left(4\right) + 2y'' + y = 0
r^4 + 2r^2 + r = 0 \rightarrow r(r^3 + 2r + 1) = 0
This is where I'm stuck. Once I find y_c(t) I should be able to finish the problem, but I'm having trouble at this...
y''(t) - \frac{2}{t^2}y(t) = 3 - \frac{1}{t^2}
In this problem I had to solve two ways: Variation of Parameters and Undetermined Coefficients. I solved it using Variation of Parameters and got the correct answer for the particular solution in the back of the book being y_p(t) = t^2ln|t| +...
Homework Statement
[PLAIN]http://img856.imageshack.us/img856/8508/circuit.png [Broken]
Homework Equations
Loop Analysis and Node Analysis
The Attempt at a Solution
The Question states I have to find the equivalent resistance within the circuit. But, since there is a dependent...
Homework Statement
Apply nodal analysis to the circuit to find the power (released or absorbed?) by the 3-mA source.
[PLAIN]http://img15.imageshack.us/img15/1546/circuity.png [Broken]
Homework Equations
Ohm's Law V = IR
The Attempt at a Solution
OK, so firstly I have to label...
Homework Statement
Design a circuit to recharge a 1.2-V Ni-Cd battery from a car battery with a current of approximately 10 mA.
Homework Equations
The Attempt at a Solution
I was looking in the back of the book on this one and it had a simple circuit devised with a 12-V battery...
Homework Statement
Using a 100-kOhm potentiometer and suitable external resistances, design a voltage divider circuit such that varying the wiper from end to end varies the gain over the range:
a) 0 to 0.75 V/V
b) 0.2 V/V to 1 V/V
c) 0.1 V/V to 0.9 V/V
Homework Equations
Not Sure...
Homework Statement
[PLAIN]http://img339.imageshack.us/img339/6089/electriccircuits221revi.png [Broken]
Homework Equations
i = v/R
The Attempt at a Solution
My attempt at the solution is all in the red in the diagram above. Apparently the book's answers are 1 V and 2 V and it...
Homework Statement
[PLAIN]http://img143.imageshack.us/img143/3746/electriccircuits.png [Broken]
Homework Equations
The Attempt at a Solution
Can someone help me with part B of this? I understand that in part a it says the 5 A source is delivering 10 W of power, so that would in...
Homework Statement
[PLAIN]http://img846.imageshack.us/img846/6546/statics.png [Broken]
Homework Equations
Fy = F*cosθy
Fh = F*sinθy
Fx = Fh*cosφ = F*sinθy*cosφ
Fz = Fh*sinφ = F*sinθy*sinφ
The Attempt at a Solution
I'm having a lot of trouble drawing vector AD in a free body diagram. I...
Homework Statement
You point a laser flahlight to the Moon, producing a spot of light on the moons surface. At what minimum angular speed must you sweep the laser in order for the light spot to streak across the moons surface with speed v > c? Why cant you transmit information between...
Homework Statement
[PLAIN]http://img28.imageshack.us/img28/2106/241s.png [Broken]
Homework Equations
ΣF = ma
The Attempt at a Solution
I'm really confused here, is using ΣF = ma even possible to find the tension here? Or do I have to utilize some other method, like law of sines?
Homework Statement
[PLAIN]http://img535.imageshack.us/img535/7201/electriccircuits113.png [Broken]
Homework Equations
p = dW/dt; p = vi; W = Integral (p(t)) dt
The Attempt at a Solution
I think for the most part I got parts a and b correct. What I'm having significant trouble...
Homework Statement
[PLAIN]http://img828.imageshack.us/img828/7386/physicsch3581.png [Broken]
Homework Equations
Not sure
The Attempt at a Solution
the indicies of refracton are inversly related to the speeds, that is n=c/v . You find the time to go distance L in one arm t=L/v...
Homework Statement
You are making a laser with light of wavelength 310 nanometers using a MgF2 window (which will transmit the UV). The mirrors will be external so each end of the 'pumping' gas discharge tube must be cut at Brewster's angle so that there is no reflection from the surface as...
Homework Statement
[PLAIN]http://img854.imageshack.us/img854/6030/physicsch3364.png [Broken]
Homework Equations
n2θ2 = n1θ1
The Attempt at a Solution
To be honest I'm lost from the get go, I'm having trouble with visualizing what part a exactly wants. Part B, I think is just the...
Homework Statement
[PLAIN]http://img135.imageshack.us/img135/6027/physicsch3569.png [Broken]
Homework Equations
2L = (m + 0.5) (λ/n) for m = 0, 1, 2, ... (maxima - bright film in air)
2L = m(λ/n) for m = 0, 1, 2, ... (minima - dark film in air)
The Attempt at a Solution
Bright...
Homework Statement
[PLAIN]http://img855.imageshack.us/img855/7899/physicsch3333.png [Broken]
Homework Equations
I = 0.5*I_0
I = I_0*cos^2(θ)
The Attempt at a Solution
I_1 = 0.5*I_0*(cos 50)^2
I_2 = I_1*(cos 70)^2
I_3 = I2*(cos 50)^2
This is my attempt at the problem. This...
Homework Statement
Homework Equations
R = (Rou*A)/L
V = R/i
The Attempt at a Solution
In this one I don't really understand how my answer to part a is wrong.
My Work: L = 5.9 cm = 5.9E-2 m
diameter = 8.4 mm = 8.4E-3 m ... radius = 4.2E-3 m ... A = pi*r^2 = pi(4.2E-3)^2 =...
Homework Statement
Homework Equations
V = (sigma)/(2*epsilon_0)*((z^2 + R^2)^(1/2) - z)
The Attempt at a Solution
This was my full equation to find the total electric potential:
V = (sigma)/(2*epsilon_0)*((z^2 + R^2)^(1/2) - z) - (sigma)/(2*epsilon_0)*((z^2 + r^2)^(1/2) - z)...
Homework Statement
Homework Equations
E = σ/2ε0 (infinite sheet)
E = σ/2ε0(1 - z/(z^2 + R^2)^1/2) (charged disk)
The Attempt at a Solution
Is this the correct method below?
E = σ/2ε0 (infinite sheet) - [σ/2ε0(1 - z/(z^2 + R^2)^1/2)]
Homework Statement
Homework Equations
E = λ/2π*r*ε0 (Line of charge)
The Attempt at a Solution
E1 = E2 = 0
I can set each equation equal to each other and have 2π*ε0 cancel out on both sides. Leaving me with: λ1/r1 = λ2/r2. My problem now is that I'm not sure what to use for...
Homework Statement
Homework Equations
E = k*Q/r^2
The Attempt at a Solution
I tried to get the factor through integrating, but it was wrong.I ended up with (k*lambda*2)/R multiplied by the integral of cos(theta) dtheta. Limits were 10pi/21 and 0. I then divided by k*Q/r^2.