Math on pulley to platter calcs? - diyAudio
Go Back   Home > Forums > Source & Line > Analogue Source

Analogue Source Turntables, Tonearms, Cartridges, Phono Stages, Tuners, Tape Recorders, etc.

Please consider donating to help us continue to serve you.

Ads on/off / Custom Title / More PMs / More album space / Advanced printing & mass image saving
Reply
 
Thread Tools Search this Thread
Old 21st June 2008, 08:14 PM   #1
AVWERK is offline AVWERK  United States
diyAudio Member
 
Join Date: Jan 2004
Location: So Calif.
Default Math on pulley to platter calcs?

I'm getting out my old TT project after 15 years in a box, and can't find the motor.

My question is the air bearing platter from a (Mapleknoll Athena) measures 7.875" DIA. (pulley surface dia)

I need to machine a new motor pulley for 33 1/3 rpm (Not interested in 45)

I'll most likely use a 300 or 600 rpm motor. AC sync.

What would be the motor pulley dia. at 300 or 600 rpm turning 7.875" to get 33 1/3rd rpm?

This is a suspended design and will use a rubber belt, what 3/32nd in dia. maybe?

Appreciate any information

Regards
David
  Reply With Quote
Old 21st June 2008, 11:17 PM   #2
diyAudio Member
 
Steerpike's Avatar
 
Join Date: Jan 2006
Location: Johannesburg, South Africa
Its a simple ratio calculation:
You want to reduce 300rpm down to 33.333333 rpm,
i.e., by a factor of 9.000

Your pulley diameter must be 9x smaller than the platter diameter.

There are fine tweaks to this figure based on the 'roundness' of the pulley face (you need a somewhat sounded pulley to make the belt run centrally) but without going into too much detail, the calculated value of pulley diameter should be around the average of the largest (central) diameter and the smallest (the two edges).
  Reply With Quote
Old 22nd June 2008, 06:59 AM   #3
diyAudio Member
 
Join Date: Feb 2006
Location: Willy, VIC
It's more complex than that.

If the belt is rubber then add one belt thickness to each diameter. The correct equation is then: motor speed x (Dpulley + Tbelt) = platter speed x (Dplatter + T belt)

which simplifies to: D pulley = [platter speed x (Dplatter + Tbelt)/motor speed] - T belt

You nominate a belt of 3/32" which is 2.38mm so for 300 rpm motor you end up with [33.333 x 302.38/300] - 2.38 which is 31.22 mm rather than the 33.333 mm pulley from the incorrect equation above.

This ignores the effect of belt creep but belt creep is small and varies with torque so it's hard to include accurate compensation. If you cut the pulley at 31.2 mm you'd be close.

If you use a material other than rubber the equation must be further modified. Multiply the belt thickness by twice the Poisson's ratio of the material before substituting it into the equation. Rubber has a Poisson's ratio of 0.5 (eg it is completely incompressible) so for rubber the simplified version works.
  Reply With Quote
Old 22nd June 2008, 05:47 PM   #4
Nanook is offline Nanook  Canada
diyAudio Member
 
Nanook's Avatar
 
Join Date: Feb 2004
Location: Chinook Country.Alberta
Default Mark, very nice explaination

most folks don't consider the need to compensate for thickness and material of the belt.

The simple equation works very well for materials such as Mylar or video tape. (although they both can stretch), that are very thin. And of course small adjustments can be made via a controller.

stew
__________________
stew -"A sane man in an insane world appears insane."
  Reply With Quote

Reply


Hide this!Advertise here!
Thread Tools Search this Thread
Search this Thread:

Advanced Search

Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

BB code is On
Smilies are On
[IMG] code is On
HTML code is Off
Trackbacks are Off
Pingbacks are Off
Refbacks are Off


Similar Threads
Thread Thread Starter Forum Replies Last Post
PR Calcs jwatts Subwoofers 0 30th May 2006 11:04 PM
whats up with these SNF calcs? lemans23 Multi-Way 5 29th October 2005 07:03 PM
frustrated with calcs sparky3489 Car Audio 33 3rd October 2005 06:26 AM
BSC calcs Dave Jones Multi-Way 1 27th March 2005 05:38 AM
my heatsink calcs for Zen v4 faustian bargin Pass Labs 34 14th December 2003 04:21 PM


New To Site? Need Help?

All times are GMT. The time now is 01:49 PM.


vBulletin Optimisation provided by vB Optimise (Pro) - vBulletin Mods & Addons Copyright © 2014 DragonByte Technologies Ltd.
Copyright 1999-2014 diyAudio

Content Relevant URLs by vBSEO 3.3.2