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Topic: Dimensions and Exponentiation
Replies: 4   Last Post: Dec 18, 2012 6:16 AM

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Ken.Pledger@vuw.ac.nz

Posts: 1,382
Registered: 12/3/04
Re: Dimensions and Exponentiation
Posted: Dec 17, 2012 3:14 PM
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In article <0fb2f25e-1e36-4f5a-b9d5-4206a00d1c90@googlegroups.com>,
MNM <mark.n.mcallister@gmail.com> wrote:

> .... Let's say there is a function of 't', such as 'a*t'.
> now, the 't' has a dimension, let's say 'seconds'.
> If 'a*t' becomes the power of 'e', what happens to the dimension? ....



If e^(at) occurs in a physical problem, then the at must be
dimensionless (a pure number). That means that your constant a will
have the dimension 1/time.

Ken Pledger.



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