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Physics Angular Acceleration of sphere about frictionless axle?

Physics Angular Acceleration of sphere about frictionless axle? - Physics Forum

Physics Angular Acceleration of sphere about frictionless axle? - Physics Forum. Discuss and ask physics questions, kinematics and other physics problems.


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Old 07-19-2009, 02:17 PM
Pipette Filler
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Default Physics Angular Acceleration of sphere about frictionless axle?



My attempts at getting an answer for this problem haven't been to good, this is the problem below:

A machine part has the shape of a solid uniform sphere of mass 255 grams and diameter 2.70 centimeters. It is spinning about a frictionless axle through its center, but at one point on its equator it is scraping against metal, resulting in a friction force of 0.0200 Newtons at that point.

Find its angular acceleration. Let the direction the sphere is spinning be the positive sense of rotation.

My attempts:
Based on what I have found in my physics book I've been using the following
A is alpha in this situation
T = IA I is moment of inertia
therefore T = Ffrictional * radius
so plugging it in I got .00027 for T

then for I using I = 2/5mr^2 and plugging it all in I got .00002 for I
so A = T/I and I got 13.5 for A which is incorrect

I don't see what I'm doing wrong please help. Thanks in advance.
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