Solving Torque Unit Issue: kg*m3/s2 ≠ kg*m2/s2

[Chad Jensen]

Homework Statement

Not really a homework question but a question about units that I can't figure out.

Homework Equations

Torque units = N*m
N=kg*m/s²
I units = kg*m²
a units = m/s²
Now my formula sheet says T=Ia

The Attempt at a Solution

torque=kg*m/s²*m=kg*m²/s²
Ia=kg*m²/s²*m/s²=kg*m³/s²
kg*m³/s² in not equal to kg*m²/s² What am I doing wrong?
Thanks for any help

 

[TSny]

Now my formula sheet says T=Ia

It should say $\tau = I \alpha$ where $\alpha$ is the angular acceleration.

 

[Chad Jensen]

Oh ok. That makes more sense. Thank you so, it is rad/s^2 which rads are considered dimensionless so they can be eliminated with no need to cross multiply or subtract to make them go away. You are then left with 1/s^2. Thank you I knew I was missing something simple. I looked at the formula sheet and it was alpha and not a