Angular Accerlation Homework: Avg. Angular Acc in Rad/s2

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To find the average angular acceleration of a hard disk spinning at 7200 rpm, starting from rest and taking 3.7 seconds to reach that speed, the correct formula is α = Δω / Δt. The user initially attempted to apply an incorrect equation, leading to confusion about their answer being marked wrong. Clarification was provided that the change in acceleration over time does not apply in this scenario. The discussion emphasizes the importance of showing work to identify errors in calculations. Understanding the correct application of angular acceleration formulas is crucial for solving such problems.
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Homework Statement



During normal operation, a computer's hard disk spins at 7200 rpm. If it takes the hard disk 3.7 s to reach this angular velocity starting from rest, what is the average angular acceleration of the hard disk in rad/s2?

Homework Equations



Change in Angular Accerlation/ Change in time

The Attempt at a Solution



I tried the above equation but the online homework says the answer is wrong. I'm not sure of what else to do.
 
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If you don't show your work, how can we know where you went wrong?

Also, your equation given is not an equation (there is no equal sign), but either way, change in acceleration/change in time is a rate of change of acceleration, which would not help you here. Did you mean this?

\alpha=\frac{\Delta \omega}{\Delta t}
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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