- #1
kmoh111
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Homework Statement
I am working a homework problem that is trying to find the mean radius, [tex]\bar{r}[/tex] from the midpoint of a cylinder.
The problem states:
What is the mean radius, [tex]\bar{r}[/tex] from the midpoint of a cylinder of radius a and height h to its boundary surface? Evalute mean radius [tex]\bar{r}[/tex] for a = h/2 = 10 cm.
Homework Equations
The relavent equation is [tex]\bar{r}[/tex] = (1/4pi)[tex]\int[/tex][tex]\int^[/tex] r sin[tex]\vartheta[/tex]d[tex]\vartheta[/tex]d[tex]\beta[/tex]
The Attempt at a Solution
The problem and formula above is from Attix's textbook. In this case I think the limits for beta need to be 0 to 2pi for a cylinder.
I'm not sure what the limits for theta should be. I'm think it's 0 to pi.
I need to express r in terms of theta - but I'm not sure how.
Attix gives the answer as 11.32 cm.
Thanks in advance for any assistance.