Finding angular acceleration as a function of time.

AI Thread Summary
To find the angular acceleration as a function of time for a fan blade with angular velocity omega_z(t) = gamma - Beta(t)^2, differentiation of the angular velocity function is necessary. The discussion highlights confusion among participants regarding the differentiation process, with one user suggesting that acceleration can be derived from velocity through differentiation. Another participant expresses frustration over previous comments while admitting to errors in their calculations due to integrating instead of differentiating. The conversation emphasizes the importance of correctly applying calculus principles to solve the problem. Ultimately, the key takeaway is the need to differentiate the given angular velocity function to determine angular acceleration.
Trojanof01
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A fan blade rotates with angular velocity given by omega_z(t) = gamma - Beta(t)^2 .


Calculate the angular acceleration as a function of time.


I don't even know where to begin and my book is all but useless. Any ideas?
 
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Are you serious?

Here's one idea: differentiate!
 
Well, if this was velocity and accelaration you could think of velocity as dv/dt and acceleration by d²v/dt², from this we could clearly go from one to the other...
 
Hey I'm sorry I'm not a physics genius like you are cepheid. I appreciate the help but I can do without the snide comments. Anyway, I was leaning toward differentiating and I tried it and came out with a wrong answer. Computations were probably inaccurate though.
 
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Thanks, my calculus is a bit rusty and I integrated instead of differentiated...
 
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