Calculate length of veneer produced from a log

by Peter
(Hobart, Tasmania, Australia)

Is there a formula to calculate the length of rotary peeled veneer that can be produced from a log?

Assume the log is a cylinder (say 20 cm radius) and the core that is left over is a cylinder (or close to it) of 5cm radius. What length of veneer could be produced off a rotary peeler machine where the thickness of veneer was 5mm.

The simple solution would be to measure circumference of a number of cylinders each with radius reduced by 5mm until you got to the core. But there must be a more mathematically correct way of doing this.

I want a formula so that I can plug in the log radius, the core radius and the veneer thickness so I can get a solution to generate the length produced.

Click here to post comments

Join in and write your own page! It's easy to do. How? Simply click here to return to math help forum.

Find a Math Word here

Can't find the word you are looking for? Do a search here and type your word in the box below

Good, better best.

Never, ever rest.

Until your good is better

And your better is your best.

Like this website?

Like it on facebook!

"I am getting much better test marks and I have been moved up a set"
Age 13

"High school's great, I'm in a good math set and I understand lots of things, thanks to you"
Eleanor Talbot
Age 11

"I really like math now, you just make it more friendly and normal"
Jess Johnson
Age 18

"Your writing style is great, informative but friendly! My 12 year old son still struggles with basic maths. I can see your website will be a real treasure trove for us :)"
New Zealand

"My grades have improved and I am doing much better than everyone else in my class"
Age 14

"Thanks for teaching me fractions, You made it so easy kalamuni!"
Abrar Haider
Age 8