Recent content by Timebomb3750

Homework Statement Problem: On a summer day, your classroom warms and becomes muggy with a vapor pressure of 20hPa and a temperature of 25C. a.) If the volume of the classroom is 40m^3, how much water is present in the room in vapor form?Assume density of liquid water is 1000 kg/m^3 b.) If...

Okay, here's my work. ω = 10 (m/s)/ 2000m = .005 radians/sec Then I put that into the tangential velocity question: v = rω = 100m*.005 radians/sec = .5 m/s Why is it that the tangential velocity got slower as radius decreased? I thought it was the other way around as I mentioned in...

Homework Statement If an air parcel 2000m from a tornado center has a tangential velocity of 10 m/s, what is the resultant tangential velocity if the parcel is 100m from the tornado center. Homework Equations v = rω, where r = radius, and ω = angular velocity ω = v/r The Attempt at...

Well, z=2x goes through the entire the y-axis, but doesn't intersect any other axes. x+2y+2z=4 intersects axes at x=4, y=2, and z=2. The two planes intersect at 2y+5x=4. But what's your point? What do I get out of this?

Any assistance would be greatly appreciated. Thanks.

Well, after plotting those two equations into my mac grapher app, it seems my y-limits could be from 0 to 2. But I'm unsure as to finding my x and z limits.

Homework Statement Use a triple integral to find the volume of the region. Below x+2y+2z=4, above z=2x, in the first octant. Homework Equations V=∫∫∫dV=∫∫∫dxdydz The Attempt at a Solution I have no clue where to begin as to finding those darn limits to integrate with. I'm sure...

Homework Statement r=(1/(2+cos(θ))Homework Equations r=sqrt(x^2+y^2) rcosθ=x rsinθ=y The Attempt at a Solution Not sure what first step to take. This problem looks so simple, but I can't seem to get far on paper. Not sure if I should multiply both sides by 2+cos and then multiply both sides...

Okay, I have it figured out. v(t)=<e^(t) , (1/2)t^2 , (-1/2)cos(2t)+(1/2)> So that V(0)=<1,0,0> Then, I find r(t) which is equal to <e^(t)-1 , (1/6)t^3 , (-1/4)sin(2t)+(1/2)t> So that r(0)=<0,0,0> Then I plug in pi into my r(t) which comes out to be r(pi)=<e^(pi)-1 , (1/6)pi^3 ...

Finding a position vector... Homework Statement A spaceship is traveling with acceleration a(t)=<e^(t) , t , sin2t>. At t=0, the spaceship was a origin r(0)=<0,0,0> and had an initial velocity of v(0)=<1,0,0> Find the position of the ship at t=piHomework Equations uhhh... The Attempt at a...

Looks good to me. :D

Oh! I see. Well then, my limits would be from 0 to 2pi, right? Because e^0, e^(0)sin(0), e^(0)cos(0) give the point (1,0,1). And e^(2pi), e^(2pi)sin(2pi), e^(2pi)cos(2pi) give the point (e^(2pi), 0, e^(2pi)). Correct?

Homework Statement Find the length of the curve r(t)=<e^(t) , e^(t)sin(t) , e^(t)cos(t)> between points (1,0,1) and (e^(2pi) , 0 , e^(2pi)) Homework Equations Length of curve=∫(llv(t)ll Where the limits of integration are the distance between the given points. The Attempt at a...

Wouldn't the total flux through the hemisphere be zero? Thus, meaning the flux through a sphere would be zero as well? I'm talking about total flux meaning the sum of the positive and negative flux.

Oops. I see. So, I should be left with E*(4piR) R=radius. But what I'm now stumped on is the component of the surface area. As I said before. I understand the E has an i-component. But how do I find the components of the surface area?