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Physics Review Problem Help
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A test subject in a centrifuge revolves along a circle of radius r = 10m. What must be the angular velocity of the centrifuge so that the subject experiences 9 g's? (I did this myself and got 2.96 rad/sec. I just need -assuming my answer is okay - help with the next two. Any help is greatly appreciated^^ )
If the centrifuge is "spun up" to this angular velocity from rest over a period of 75 seconds, what is the angular acceleration of the centrifuge?
How many revolutions does the subject make during the spin-up?
If the centrifuge is "spun up" to this angular velocity from rest over a period of 75 seconds, what is the angular acceleration of the centrifuge?
How many revolutions does the subject make during the spin-up?
Answers
Sandra The first one is more straightforw ard than you think 2.96/75 but the units are rad "per second, per second" (or rad/s^2, or rad.s^-2 for short) The second is analagous to linear acceleration s=ut + 1/2 a.t^2 u=0, so it's just 1/2.a.t^2 and you've just calculated a. However, that answer is in radians but the question specifies revolutions, so convert...
02:23 Sun 27th Jul 2014
Sandra
The first one is more straightforward than you think
2.96/75 but the units are rad "per second, per second" (or rad/s^2, or rad.s^-2 for short)
The second is analagous to linear acceleration s=ut + 1/2 a.t^2
u=0, so it's just 1/2.a.t^2 and you've just calculated a.
However, that answer is in radians but the question specifies revolutions, so convert by dividing by 2*pi.
You didn't state what was the "agreed value" for "g" (probably varies according to teacher). We always used 9.81, so I immediately got 2.97 where you got 2.96, hence I've not worked through the numbers for you. Hope it helps.
The first one is more straightforward than you think
2.96/75 but the units are rad "per second, per second" (or rad/s^2, or rad.s^-2 for short)
The second is analagous to linear acceleration s=ut + 1/2 a.t^2
u=0, so it's just 1/2.a.t^2 and you've just calculated a.
However, that answer is in radians but the question specifies revolutions, so convert by dividing by 2*pi.
You didn't state what was the "agreed value" for "g" (probably varies according to teacher). We always used 9.81, so I immediately got 2.97 where you got 2.96, hence I've not worked through the numbers for you. Hope it helps.
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