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![[Post New]](/templates/default/images/icon_minipost_new.gif) 26 Mar 2008 13:20:10 IST
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how can a particle hav tangential acceleration as well as radial acceleration simultaneously
in tangential acceleration , velocity would be changing , if v = r(omega), then how does this velocity change( i mean how does the velocity change with change in omega, should this omega change uniformly or non uniformly ?)
if it changes uniformly, then velocity remains constant , but how does it hav tangential acceleration?
is radial acceleration uniform or non uniform?
if suppose a body makes an angle theta with x axis, and in the next second, it makes (theta+aipla) with x axis and in the second second it makes (theta+2alpha) with x axis, then is this called uniform radial acceleration.
suppose the boay continues like that, then will it hav tangential acceleration also. if so, is it uniform or non uniform
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SHREYA |
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26 Mar 2008 13:27:13 IST
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consider the fan u have jst turned onn....
for all particles going in a circle... they have a radial acceleration so they travel in circular path....
but the fan u tured on begins to increase its speed.....
so it has acceleration in the direction of its motion tooo...
thats its tangential acceleration....
the velocity will change only in angular velocity changes for a particular particle...
considering fan..
if it rotates faster... then its angular velocity is also high.. hence its velocity.. omega can chage in any way.. uniform or non uniform
radial acceleration depends on omega...
and tangential acceleration depends on radius vector...
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size doesnt matter, brains do...
vignesh |
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26 Mar 2008 13:28:19 IST
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no...
the body doesnt have tangential acelerationin the last case which u told....
it has only radial acceleration......
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size doesnt matter, brains do...
vignesh |
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26 Mar 2008 13:29:16 IST
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if a particle has tangential acceleration then its motion is non uniform
suppose a particle has an angular acceleration alpha
then it would have a tangential acceleration of r*alpha alongwith radial acceleration
if angular acceleration is zero then its uniform circular motion and it wud have only radial acceleration
in uniform circular motion the magnitude of its velocity remains the same only its direction keeps changing so velocity is not constant
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26 Mar 2008 13:32:05 IST
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for better understanding...
acceleration is dv/dt.......
v = rw in rotation...
so..
acceleraton is d(rw)/dt
a = r{dw/dt} + w{dr/dt}
the first part of rhs is radial acceletation
second part is tangential acceleration
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size doesnt matter, brains do...
vignesh |
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26 Mar 2008 13:41:55 IST
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Coolvignesh, if the body dosent hav tangential aceleration, then velocity should not change but according to Abhishekray07, the velocity keeps changing coz of change in direction, then how is it possible to hav no tangential acceleration?
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SHREYA |
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27 Mar 2008 12:31:22 IST
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hey shineee......
if a body doesnt have tangential aceleration...
speed doesnt change.. not velocity...
instantaneous velocity's magnitude doesnt change if a body has no tangential acceleration.....
velocity always changes in a circular motion
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size doesnt matter, brains do...
vignesh |
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27 Mar 2008 13:11:37 IST
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Look in case of circular motion if a body has tangential acceleration
then it means its speed is changing not velocity ...
because velocity always changes since in case of circular motion
direction of velocity changes at every point therefore velocity changes
(since it is a vector change it direction only can change the velocity)
and radial acceleration is required to move the body is circular path
if both tangential and radial acceleration is present then it is non uniform
circular motion
however if only radial acceleration is present then it is uniform
for the body to move in a circular path radial acceleration is must
however it may or may not have tangential acceleration..
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I DONOT FOLLOW THE RULES I MAKE THEM TO FOLLOW ME. |
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27 Mar 2008 13:23:48 IST
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but acceleration is rate of change of velocity,not speed, then y is it an exception in circular motion
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SHREYA |
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27 Mar 2008 13:32:55 IST
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it is not exception the velocity is changing so there is acceleration ....
it is not matter the due to rate of change of speed causes the tangential acceleration
the concept is that due to tangential acceleration the magnitude of velocity also changes (since direction is always changing)
i.e. speed changes...
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27 Mar 2008 13:48:43 IST
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Does a body hav tangential acceleration in uniform circular motion ?(where speed is constant but velocity is not {due to change in direction but not speed}
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SHREYA |
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28 Mar 2008 08:09:15 IST
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no in uniform circular motion body does not have tangential acceleration .
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