What Torque is Needed to Accelerate a Flywheel to 400 rev/min in 8 Seconds?

AI Thread Summary
To accelerate a flywheel with a moment of inertia of 2.50 kg m² to an angular speed of 400 rev/min in 8 seconds, a constant torque of approximately 13.09 N*m is required. The angular speed was converted to rad/sec, resulting in 41.89 rad/sec, and the angular acceleration was calculated to be 5.24 rad/sec². The confusion arose from a comparison with an incorrect method found online, where the time was improperly multiplied by 60 seconds. The original calculations were verified as correct, confirming the proper approach to the problem. The discussion highlights the importance of using consistent units in physics calculations.
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Homework Statement


The flywheel of an engine has a moment of inertia 2.50 (kg)m^2 about its rotation axis.
What constant torque is required to bring it up to an angular speed of 400 rev/min in a time of 8.00s, starting from rest?Time (t) =8.00 sec
Ang Velocity (W) = 400 rev/min
Moment of Inertia (I) = 2.50 kg m^2

Homework Equations



W=Wo+αt
T = αI

The Attempt at a Solution



So, I converted the 400 rev/min to rad/sec.
400 * 2pi/60sec = 41.8876 rad/sec

I then plugged everything into the first equation to solve for angular acceleration.
41.8876 rad/sec = 0 + α(8 sec)
α = 5.2358 rad/sec^2

I then found torque using T=αI.
T=(5.2358)(2.50)
T=13.0895 N*m

Now, I thought that was the answer, so I tried looking up the question online to verify it. I found this:
http://answers.yahoo.com/question/index?qid=20101018171042AAmoOu0

I followed the same step process, but my only question is this -

From Yahoo Answers website...w (final) = w (initial) + (c) x time (t)
15pi= 0 + c(8.10x60seconds)
c= 0.0969

Why did that person multiply the time by 60 seconds? I did everything the same as them, except for this. Can someone explain why?
 
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For no apparent reason. Your solution is correct; his isn't.
 
Hahaha, okay, it totally confused me and made me doubt everything that I did...thanks for the verification! :)
 
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