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8
volunteer
So we would have the complete expression for defatedta DT.
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volunteer
6/50 times
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volunteer
what I just said
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volunteer
cosine theta squared, which is that mess there.
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volunteer
squared.
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student
Also, everything's squared, like the whole 5000 over those things square.
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volunteer
Yes, so what you would do is
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volunteer
I can try to write it
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volunteer
or you can
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student
Uh
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student
right
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volunteer
Since that's cosine theta.
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volunteer
cosine squared
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volunteer
which 5, let me see times pounds 5000 is, make sure I don't mess that up.
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volunteer
5000 squared is
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volunteer
a big number
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volunteer
25 million
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volunteer
might be best just to leave it this way.
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volunteer
Leave it 5000 squared over, and we would simply remove the radical sign from the denominator.
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volunteer
right?
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student
Yeah
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volunteer
So our final answer, um, I guess I'll try to write it here.
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volunteer
See if I can do this without messing up too bad.
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volunteer
The beta DT
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volunteer
is
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volunteer
650
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volunteer
times
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student
Mhm.
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volunteer
5000 square.
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volunteer
over
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volunteer
5000 square.
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volunteer
plus
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volunteer
1000
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volunteer
600
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volunteer
P
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volunteer
where
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volunteer
So that's our answer
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student
Mhm
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volunteer
Now express the angle as a function of time.
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volunteer
at 6:50
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volunteer
times
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volunteer
fraction 5000 squared / 5000 square + 1000 + 600 t squared.
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volunteer
I don't know if you have
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volunteer
an answer somewhere, but
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volunteer
yeah
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student
Yeah, there's the answer key
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volunteer
So whether it looks like that or not, I guess we'll find out. Um
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student
OK, let me go check.
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student
OK, looking at the answer, he, it looks like they did, there's a little bit different than how we did ours.
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volunteer
Mhm
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student
and which like it's really a lot, but like that ends the insure that they got was 3/26. rats per second.
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volunteer
So we need
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student
I can
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student
yeah, I can send the thing on here so you can look at it.
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volunteer
OK.
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volunteer
um
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volunteer
so they did a radiant per second and they actually came up with a number, right?
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student
Yeah, they came in
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volunteer
So
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volunteer
um
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volunteer
what
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student
So do you want me to send the thing here so you can see like the steps that you.
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volunteer
Sure, um, what I don't understand on their answer though is
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volunteer
the angle changes as time changes and in the, in the question it said
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volunteer
as a function of time, OK?
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student
Mhm.
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volunteer
But you're, you're just giving me a, a number
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volunteer
one number for radiance per second, right?
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student
Yeah
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student
OK.
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volunteer
So that bothers me because
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volunteer
the angles changing as a function of time. If they said after 1 2nd or after 2 seconds what, then I could understand, you would, we would plug in and we would get radiants per second.
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volunteer
But
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volunteer
I don't, I don't see any problem where they um
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volunteer
said what time they wanted to have
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volunteer
um, so
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volunteer
anyhow, yeah, I'd be happy to look at it, but I'm
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volunteer
I feel like there's a
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volunteer
little piece of information missing like at what time do they want to see how fast it's changing.
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volunteer
anyhow.
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student
Um
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volunteer
OK
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student
wait, let me just send it to you so you can look at it, OK.
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volunteer
Is it gonna be below all the stuff we wrote or?
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student
Yeah, uh, it's probably gonna pop up up on top.
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volunteer
OK, whatever
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student
Yeah
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volunteer
Hopefully
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student
Actually ended up being below
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volunteer
OK, that's fine. Let me get down there.
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volunteer
Oops.
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volunteer
OK, so
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volunteer
um
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volunteer
so, so they did, they did set it up a little different. It's the same idea.
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student
Well, can you see or do I need to like zoom out a little bit.
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volunteer
I, I can see it
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student
OK
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volunteer
I can read it OK
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volunteer
Um
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volunteer
so they're saying
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