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**1. Homework Statement**

A fan blade is rotating with a constant angular acceleration of +12.0 rad/s2. At what point on the blade, as measured from the axis of rotation, does the magnitude of the tangential acceleration equal that of the acceleration due to gravity?

**2. Homework Equations**

aT=(r)([itex]\alpha[/itex])

**3. The Attempt at a Solution**

What I did is rearrange the equation so that r=aT/[itex]\alpha[/itex]

This gave me r=(9.80m/s^2)/(12.0rad/s^2)

So, r=0.0817 m/rad

The answer is supposed to be 0.817 m, but why am I getting m/rad? In fact, m/rad doesn't even make sense. Is there another way to rearrange the equation?

Any help is much appreciated. Thank you.