Need help simplifying units of slope for an angular acceleration vs torque graph

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The discussion focuses on simplifying the units of slope for a graph of angular acceleration versus torque, which shows a positive linear correlation. The user is struggling to express the slope in terms of kilograms, meters, and seconds, and is seeking clarification on how torque and angular acceleration can be simplified. The equation τ=Iα is referenced, indicating the relationship between torque (τ), moment of inertia (I), and angular acceleration (α). It is noted that inertia is not a quantity, but inertial mass is, and the user is reminded that the units of angular acceleration are s^-2. The conversation emphasizes the need for clear unit simplification in physics equations.
pentwaterwave
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In a lab we conducted in class we graphed angular acceleration vs torque, and found a positive linear correlation-easy enough. However I am getting rather stuck in simplifying the units of slope in terms of Kg, m, and s... I am fairly sure this will give me that angular acceleration equals torque times inertia but I have trouble with simplifying the slope AND with even getting torque and angular acceleration simplified to kg m and s. I would really appreciate some help! thanks!
 
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sorry pal, inertia is not a quantity, but inertial mass is.

τ=Iα

I=mr^{2}

α=\frac{d^{2}θ}{dt^{2}}

And the units of α is s^-2. m stands for mass.
 

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