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September 30, 2025, 03:32:19 am
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Author Topic: TyErd's questions  (Read 42665 times)  Share 

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TyErd

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Re: TyErd's questions
« Reply #360 on: July 01, 2010, 03:42:43 pm »
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Quote from: brightsky on July 01, 2010, 03:26:25 pm


Integrate both sides:







The rest should be straightforward. :)

EDIT: Forgot the 3 on the RHS :p.


Would you be able to clear up the last line, not really sure how you got that, in particular what you did with the 3
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brightsky

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Re: TyErd's questions
« Reply #361 on: July 01, 2010, 04:28:03 pm »
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We have:







Bringing the 3 over to the LHS:

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TyErd

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Re: TyErd's questions
« Reply #362 on: July 01, 2010, 04:35:08 pm »
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Ohhh I get it!! very clear as well thankyou!
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brightsky

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Re: TyErd's questions
« Reply #363 on: July 01, 2010, 04:39:47 pm »
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Quote from: TyErd on July 01, 2010, 04:35:08 pm
Ohhh I get it!! very clear as well thankyou!

No problem! :D
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TyErd

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Re: TyErd's questions
« Reply #364 on: July 02, 2010, 12:56:48 pm »
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Ok In the essentials book it says in one of the questions that one revolution every 10 seconds is equivalent to a rate of radians per seconds.  How do they get that?
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Re: TyErd's questions
« Reply #365 on: July 02, 2010, 12:58:51 pm »
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Quote from: TyErd on July 02, 2010, 12:56:48 pm
Ok In the essentials book it says in one of the questions that one revolution every 10 seconds is equivalent to a rate of radians per seconds.  How do they get that?
Since a full cirlce is 2 pi then one revolution is 2pi / 10 = pi/5
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TyErd

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Re: TyErd's questions
« Reply #366 on: July 02, 2010, 01:01:29 pm »
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ohh ofcourse, thnx for the quick response
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Re: TyErd's questions
« Reply #367 on: July 02, 2010, 01:02:32 pm »
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no problems!
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TyErd

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Re: TyErd's questions
« Reply #368 on: July 02, 2010, 01:27:00 pm »
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An aeroplane is flying. horizontally at a constant height of 1000m. At a certain instant the angle of elevation is and decreasing and the speed of the aeroplane is

a) How fast is decreasing at this instant?
b) How fast is the distance between the aeroplane and the observation point changing at this instant?
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Re: TyErd's questions
« Reply #369 on: July 02, 2010, 01:40:10 pm »
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Quote from: TyErd on July 02, 2010, 01:27:00 pm
An aeroplane is flying. horizontally at a constant height of 1000m. At a certain instant the angle of elevation is and decreasing and the speed of the aeroplane is

a) How fast is decreasing at this instant?
b) How fast is the distance between the aeroplane and the observation point changing at this instant?

Hmm... what are the answers?
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TyErd

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Re: TyErd's questions
« Reply #370 on: July 02, 2010, 01:57:25 pm »
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a)

b)
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Re: TyErd's questions
« Reply #371 on: July 02, 2010, 03:15:35 pm »
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Quote from: TyErd on July 02, 2010, 01:57:25 pm
a)

b)

Hmm im not sure about part a, but i figured how to do part b.

First step is convert 480km/h to m/s so just do (480x1000) / 3600 = 133m/s
then you need to do cos30 x 133 = 115.5
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TyErd

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Re: TyErd's questions
« Reply #372 on: July 02, 2010, 03:18:21 pm »
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I'm pretty sure you have to use differentiation to solve it.
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Re: TyErd's questions
« Reply #373 on: July 02, 2010, 03:23:43 pm »
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Quote from: TyErd on July 02, 2010, 03:18:21 pm
I'm pretty sure you have to use differentiation to solve it.

Well that way gives you the right answer :p just using a different way. or do you mean about part a ?
im trying to figure out what you have to differentiate tho.. )= i mean i guess you need to write an expression for theta ? not sure to be honest.
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TyErd

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Re: TyErd's questions
« Reply #374 on: July 02, 2010, 03:42:15 pm »
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its for both im pretty sure, its the chain rule I think.
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