I am looking to improve the thermal insulation on one of my favorite glass mugs.
I am choosing between a silicone glove or a neoprene wrap.
What is the difference between a silicone baking mat and silicone rubber?
Does silicone or neoprene have better thermal insulation?
I ask, "Does a ferrous pan for Induction Cooking need to be Completely Ferrous?"
In other words, could just the bottom of the pan be a ferrous material for good inductive heat induction?
Could I have a ferrous bottom, and ferrous sides that turn to a non-ferrous material after a couple...
Homework Statement
I have a coordinate system, (x,y,z). There is a uniform-magnetic-field of 2.0 T that exists along
the direction of the y-axis. There is a rectangular plane bounded by the points
(3,0,0),(0,1,0),(0,1,1),(3,0,1).
Calculate how much flux is traveling through the rectangular...
Homework Statement
I've been asked to estimate ωn and ζ from the magnitude and phase plot of an atomic force microscope. The magnitude and phase plot is attached.
Does anyone know how to solve for these values?
Homework Statement
A 2400/240-V, 60-Hz transformer has the following parameters in the equivalent circuit of Figure 6.5: the high-side leakage impedance is (1.2+j2.0)Ω, the low-side leakage impedance is (0.012+j.02)Ω, and Xm at the high-side is 1800 . Neglect Rhe. Calculate the input voltage...
Homework Statement
Which of the following statements about the electric potential inside a metal object are correct? Check all that apply.
The potential at any point inside a metal at equilibrium is equal to the potential at the surface, which may be nonzero.
The potential is the same...
Which of the following....
Homework Statement
In a collision between an electron and a hydrogen atom, it is useful to select both objects as the system because:
A. The total momentum of the system does not change during the collision
B. The forces the objects exert on each other are...
Homework Statement
A 900 kg car moving east at 31 m/s runs head-on into a 2800 kg truck moving west at 15 m/s. The vehicles stick together. Use the concept of the center-of-momentum frame to determine how much kinetic energy is lost.
Homework Equations
Kf= Ki(car) + Ki(truck)
K=...
Homework Statement
A thin uniform-density rod whose mass is 3.8 kg and whose length is 3.0 m rotates around an axis perpendicular to the rod, with angular speed 34 radians/s. Its center moves with a speed of 10 m/s.
(a) What is its rotational kinetic energy?
(b) What is its total kinetic...
Homework Statement
Say I have a vertical spring, with a mass attached to the bottom of the spring, and the spring is attached to the ceiling. Say I push up on the mass compressing the spring, and then I release the spring from rest.
Do I need to take into account the gravitational...
Homework Statement
A football kicker can give the ball an initial speed of 27 m/s. He is 54 m from the goalpost which has a crossbar 3.37 m high.
(a) What is the largest angle of elevation that he can kick the football and score a field goal?
(b) What is the smaller angle of elevation that...
Homework Statement
Your location is at the origin. When an object passes you, it is traveling 5 m/s in the −z direction. If the object's mass is 200 kg, and the net force on the object remains constant at ‹ 0, 0, −30 › N, what is the position of the object 20 seconds after it passes you...
Homework Statement
I am using vPython, and object moves in a +x direction with a vector of <1e7,0,0>m. I need to now change the vector so that it now moves in the same +x direction, but also moving in the northeast direction at an angle of 45 degrees.
The Attempt at a Solution
I...
Homework Statement
An object is moving in the +z direction. Which, if any, of the following statements do you know must be false? Check all that apply.
1. velocity of z is zero.
2. The net force on the object is in the -z direction.
3. The net force on the object is zero.
4. The net...
Homework Statement
Integral of (sec(10x)^2)*(tan(10x)^6)dx
Homework Equations
The Attempt at a Solution
The powers are throwing me off a little bit. I realize that the derivative of tan is sec^2, bt how will that help me with this problem?
Homework Statement
Consider the function f(x,y) = 4-x^2+3y^2 + y.
Let S be the surface described by the equation z= f(x,y) where f(x,y) is given above. Find an equation for the plane tangent to S at the point (-1,0,3)
The Attempt at a Solution
Ok, SO i solved for the gradient of F...
Homework Statement
Find the velocity and acceleration vectors for the following curves. Determine the points where the velocity vector is changing DIRECTION but not changing SPEED,
and the points where the velocity vector is changing SPEED but not DIRECTION.
For:
a. f(t) = (t,t2,t3)...
Homework Statement
The function f(t)= (t2,1/t) represents a curve in the plane parametrically.
Write an equation in parametric form for the tangent line to this curve at the point where t=2
The Attempt at a Solution
I can solve the gradient from an implicit equation, but solving...
Homework Statement
The equation T(x,y) = x2y-y2 + 180 is a temperature equation at point (x,y).
If One is standing at point (3,1), what direction should he move in order to decrease the temperature?
Secondly, if one moves a unit distance in this direction found above, how much should...
Multivariable Calc Image-Graph Problem!!!!
Homework Statement
Given a function f: R-R2 , by f(t) = (t, t^2 - cos(t)), which represents a curve in the xy plane parametrically, give a function whose GRAPH represents this same curve.
2) Also, give a function h whose level set for height k=0...
Homework Statement
Find the implicit form for the plane that contains the origin and the line:
L(t) = <1+t,1-t,2t>
The Attempt at a Solution'
So, the point P = (1,1,0) and vector v= <1,-1,2>.
To find the implicit equation for the plane using the form ax + by + cz = d , I will...
Homework Statement
Find all the points on the surface x^2+y^2-z^2=-1 where the tangent plane is perpendicular to the vector <1,0,2>.
I'm confused!
The Attempt at a Solution
So, the gradient would be: <2x,2y,-2z>, but what do I do with the gradient vector to find these points...
Homework Statement
Write the vector <1,7> as a sum of two vectors, one parallel to <2,-1> and one perpendicular to <2,-1>
Homework Equations
DOt Product
The Attempt at a Solution
I'm confused on where to begin this problem. Should I be using the dot product?
Thanks
Homework Statement
Consider the ellipsoid 4x^2+2y^2+z^2 = 19. Find all the points where the tangent plane to this ellipsoid is parallel to the plane 2y−8x+z = 0.
Homework Equations
The Attempt at a Solution
So I found the normal vector to the tangent, <8x,4y,2z>.
I also...
Homework Statement
Let f(x,y) = 5y^(2)-(2x^(2)+xy)
Then an implicit equation for the tangent plane to the graph of f at the point (0,-2) is
Homework Equations
The Attempt at a Solution
I understand that I should take the derivative to find the gradient vector. For the...
Homework Statement
The planes 3y-4x-4z = -18 and 3x-2y+3z = 14 are not parallel, so they must intersect along a line that is common to both of them. The vector parametric equation for this line is: L(t)= ?
Homework Equations
Cross Product Seems like it would be relevant here, but how...
Homework Statement
The parametric form for the tangent line to the graph of y = 2x^(2)+2x-1 at x = -1 is
Homework Equations
The Attempt at a Solution
I am confused about where to begin this problem. Any thoughts?
Thanks!
Homework Statement
Consider the line L(t) = <1-3t,0>. Then:
L is parallel, perpendicular or neither, to the Line L(t)= <6t-2,-3>
Homework Equations
The Attempt at a Solution
I am stumped!