Back in the dim and distant past, I attempted to come up with a definitive answer on what speed (rpm) to turn wood. Where this led was that there were references to a speed of 26 ft/s being used for most wood cutting machines so I based what followed on that. Wood isn't uniform and different species have different densities and grain structures etc. so there is considerable leeway as far as that goes.
Converting the linear speed of 26 ft/s to something meaningful for turning involves using juggling the formula for the circumference of a circle (pi*D) as all things being turned are circular at the point where the cut is being made.
To cut a long story short, the result is the diameter of the workpiece in inches can be divided into 6000 to give the rpm. For example, a 6" spindle would be 1000rpm, a 20" bowl would be 300rpm etc. [no doubt some smart a*** will point out that for a 1/2" pen blank this gives 12000 rpm but not many lathes work at that speed
]
In one of David Ellsworth's books, he mentions dividing into between 6000 and 9000 but gives no explanation of where the numbers were derived but they are in the same ballpark.
A little faster or slower than the "optimum" won't cause any problems and may improve the cut but bear in mind that increasing the rpm also increases the centrifugal force and that one is an exponential relationship so doubling the speed quadruples the centrifugal force, tripling the speed would result in 9 times the centrifugal force and so on. It's this one we need to be most careful of to avoid exploding workpieces which are effectively torn apart by the centrifugal force.