# Help determining the position of the centroid

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• August 3rd 2009, 11:26 PM
Steve Mckenna
Help determining the position of the centroid
The profile of a fan blade is defined by the equation:

y= 0.3 sin x for 0 <_ x <_ pie/2

Sketch the profile and determine the position of the centroid of the profile?

I have sketched the profile, however the text books are a bit thin on this subject matter!

Any help would be appreciated.
• August 4th 2009, 01:52 AM
CaptainBlack
Quote:

Originally Posted by Steve Mckenna
The profile of a fan blade is defined by the equation:

y= 0.3 sin x for 0 <_ x <_ pie/2

Sketch the profile and determine the position of the centroid of the profile?

I have sketched the profile, however the text books are a bit thin on this subject matter!

Any help would be appreciated.

The centroid of a region $R$ is:

${\bf{X}}_c= \frac{\int_R {\bf{x}} d{\bf{x}} }{\int_R d{\bf{x}}}$

The integral in the denominator is the area of the region $R$

CB