Patrick Ferrick wrote:

>[snip]
>The screw's pitch is such that one turn gives 0.2" of travel, or 5 turns per 
>inch. That would seem to give it a mechanical advantage of 5, but what has me 
>a little bit confused is the translation of a torque (from the motor) to a 
>linear force (by the nut).  
>
>I believe it is correct to say that a 200 oz.-in. motor, for example, can 
>exert a force of 200 oz. (12.5 lb) at a distance of one inch from the center 
>of its shaft. 
>
>Since the leadscrew has a mechanical advantage of 5 and is 0.5" in diameter, 
>does that mean that I should expect (200 oz. / 0.5") * 5 = 2000 ounces (or 125 
>pounds) of push?  
>  
>
The leadscrew diameter isn't important for the force calculation.

The motor can output 200 ounces force at a one inch radius, as you 
said.  For one revolution, the 200 ounces of force is applied over 2*pi 
inches of travel, but produces 0.2 inches of table motion.  Just divide:
200 * (2*pi*r) / (0.2) = force in ounces
=2000*pi, or about 6280 ounces force (close enough to 400 pounds).

The units are ounces * (inches) / (inches), which is ounces since the 
lengths cancel out.

- Steve


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