Rotational Motion TBR

[discowisco]

How long does it take for a 33 rpm record to rotate once at constant speed?

I used the formula w= 2pi/T but that didnt get me the answer. I was wondering if I am doing it wrong or if that formula could be used.

TBR used T = 1/f

I just figured that the 33rpm is the constant velocity.

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[LoLCareerGoals]

Here is an example of mindlessly memorizing formulas and not using simple unit analysis.
You didn't get any radians in your speed expression, where are getting Pis in there?
Let see it rotates 33 times per minute...How long will it take to rotate once?
Perphaps:
33 rotations/min, raise it to ^-1
1/33 min/rotation = 1.81 seconds/rotation

 

[discowisco]

Yes I understand the analysis behind it but I wanted to know why that formula wouldn't work in this case just for the sake of it.

But i figured it out. I forgot to account for the radians as the unit.

Thus converting 33 rpm to radians per second. which came out to 3.45 radians per second

Then taking that and putting it in the formula: 3.45 rad/sec= 2pi*radians/ T

Solving for T = 2pi* radians / 3.45 radians/sec = 1.82 seconds

I know logically thinking of it is easier but it was annoying me why it didnt work out.

Thanks