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How much work must be done to accelerate a baton from rest to an angular speed of 5.6 rad/s about its center? Consider the baton to be a uniform rod of length 0.49 m and mass 0.46 kg.

wi=0 rad/s

wf=5.6 rad/s

Mrod=0.46kg

Lrod=0.49m

w average=2.8 rad/s

Well i know that W=T*(change in theta)

T=I*w

I=(1/12)M*L^2

I=0.0092038 (kg*m2)

so for w in the equation would i use wf? or average w?

*using wf

T=.05154 (N*m)

*using w average

T=.02577 (N*m)

so which T would I use in solving for Work....? and supposing that I find the change in theta....

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# Homework Help: Work of a uniform rod

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