Question

A super conceptual Rotational question
True/False

Answer 1

In a rotating body,
\[a= \alpha r\] and \[v=r w\],so
\[\frac{a}{\alpha}=\frac{v}{w}\]

Answer 2

if you consider the same particle then i think yes!

Answer 3

Part 2:
It is possible to equate
\[\frac{a+\alpha}{a-\alpha}=\frac{v+w}{v-w} \]

Answer 4

just take an example and check if it holds ;D

Answer 5

u do!

Answer 6

consider a disc rotating at 10 rads/second...

consider a particle which is 1m away from the centre!!

Answer 7

it will be true obviously,but is it possible to equate like that?

Answer 8

CHECK IF THE EQUATION HOLDS.. if it holds then its true.. it not then false!

Answer 9

it does

Answer 10

then its true :P

Answer 11

no..false

Answer 12

ahh.. yea its false! B-)

Answer 13

why?

Answer 14

cause vector divided by vector is not defined! :D

Answer 15

so why is 1st one true?

Answer 16

hmmm even the first one shouldn't be true according to that :-/

Answer 17

yeah..but its true? : /

Answer 18

bingo :P
why 2nd is false
No...because it isn't "unit kosher" to do so. Remember, if the units don't make sense, the equation is definitely wrong.
alpha and a aren't measured in the same units (hint there are no meters in alpha)
omega and v aren't measured in the same units (hint there are no meters in omega)

Answer 19

a-alpha=XXXXXXXXXXXXXXX

Answer 20

bravo!... see how I made sure YOU yourself answer it :D

Answer 21

lol

Answer 22

http://in.answers.yahoo.com/question/index?qid=20101014210353AAFcr0g

Answer 23

XD

Answer 24

and yea... when i said two vectors cannot be divided.. if they are in the same direction they can be divided!!..

Answer 25

why ?! i didn't do anything :P