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Here we go i got this out of a magazine many years ago and it actually works very well.
Formula for building a Camera Clock Drive, using a one revolution per/minute motor and a curved threaded rod with a pitch of 24 to the inch.
Formula
Radius = 1436.5 x ( n / 2 pie t ) where n = 1 and t = 24
Radius = 1436.5 x ( 1 / 2 22 / 7 x 24 )
Radius = 1436.5 x ( 1 / 6.285714 x 24 )
Radius = 1436.5 x ( 1 / 150.85713 )
Radius = 1436.5 x ( 0.0066287 )
Radius = 9.52212 inches, (241.86184 mm)
Motor revolution must be (one) 1 per / minute
Threaded rod pitch in this case is 24, other diameter and pitch can be used
This formula works very well and is accurate to a least 10 minutes plus, of time exposure
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