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/sci/ - Science & Math

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3829122 No.3829122 [Reply] [Original]

The Earth travels about the sun in an orbit that is almost circular. Assuming that the distance between the Earth and Sun is <span class="math">9.3*10^{6}[/spoiler] miles and a year is <span class="math">365[/spoiler] days,

1) Find the angular velocity of Earth's orbit around the Sun in radians per hour.

2) Find the linear speed of Earth's orbit in miles per hour.

>> No.3829135

Do your own homework

>> No.3829151

>1) Find the angular velocity of Earth's orbit around the Sun in radians per hour.

Easy. It's 360 degrees divided by 365 days. Convert your units to fit your lecture.

>> No.3829152
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3829152

>>3829135
I know the answers, but I want to see if /sci/ is capable of doing middle school physics.

>> No.3829159

>>3829151

Whoops. Times the radius.

>> No.3829170

>>3829152
no you don't.

>> No.3829180

>Implying the earth's orbit is almost circular.

>> No.3829188

>>3829170
butt hurt fag can't do 7th grade math

>> No.3829204

<div class="math">\omega =\frac{2\pi }{T}=\frac{v}{r}</div>

and then you conver-

>miles
>miles
>miles

fuck you

>> No.3829209

Come on /sci/, have you forgotten how to do math already?

Hint: <span class="math">v=\frac{d}{t}[/spoiler]

>> No.3829224

>>3829209
No scientist would write it like that.

<div class="math">v = \frac{dx}{dt}</div>

>> No.3829246
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3829246

Holy shit, I did this exact problem before in Highschool. Now how do you find radians again pi over 180 degrees equals 180 degrees over pi or some shit?

>> No.3829270

Hardcore shit. I would start with the langrangian

<div class="math">L=\frac{1}{2}mR^{2}\dot{\theta ^{2}}+\frac{GMm}{R}</div>

Apply euler-lagrange and acquire coupled system of differential equations (chaotic motion).

Shit OP, 5th year of Theoretical physics or something?

>> No.3829271

>>3829224
Bullshit, a real scientist would write

<div class="math">v = \frac{1}{m} \frac{\partial \mathcal{L}}{\partial \dot{x}}</div>

>> No.3829281 [DELETED] 
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3829281

>2011
>claim to be astronomers
>can't even find the speed of an orbiting planet

ISHYGDDT

>> No.3829292

>Assuming ... 365 days

assumption is wrong

sidereal year = 365.256363004 days (2000)

1) omega=2π/(365.256363004*24)=7.167551733966163e-4 h^-1
2) cannot "miles"

>> No.3829339

>2011
>miles

>> No.3829355

OP here,

1) <span class="math">7.172585967*10^4[/spoiler] radians per hour

2) <span class="math">6670.504949[/spoiler] miles per hour

Stay classy, /sci/

>> No.3829378

>>3829355
*to the negative 4th power