Feed rate in slab milling operation is equal to

The correct answer is: product of rpm, feed per tooth and number of teeth in the cutter.

In a slab milling operation (and milling operations in general), the feed rate (also referred to as the table feed rate) represents the linear speed at which the workpiece advances through the cutter.

To determine the total feed rate, we calculate the feed rate per revolution of the cutter and then multiply it by the rotational speed of the cutter. The derivation is structured as follows:

1. Feed per Revolution: If each tooth on the cutter removes a certain amount of material, called the feed per tooth, then the feed per one full revolution of the cutter is the feed per tooth multiplied by the total number of teeth on the cutter. Let:
$f_t$
be the feed per tooth (typically in mm/tooth or inches/tooth), and let:
$z$
be the total number of teeth in the cutter. The feed per revolution is given by:
$f_{\mathrm{rev}}=f_t\times z$

2. Feed Rate: To get the travel distance per unit time (usually mm/min or inches/min), we multiply the feed per revolution by the rotational speed of the cutter in revolutions per minute (rpm). Let:
$N$
be the rotational speed of the cutter in rpm. The feed rate is:
$f=f_{\mathrm{rev}}\times N=f_t\times z\times N$

Therefore, the feed rate is the product of the cutter's rpm, the feed per tooth, and the total number of teeth on the cutter.