SOLUTION: How to convert 42.27 lb-s^1/ft^-1 to hp? I know that 550 lb-ft/s is equal to 1 hp but I do not know how to continue solving it since there are negative exponents in the given probl

"hp" in this post is the "horse power", a unit of mechanical power.


First, the dimension  lb-s^1/ft^-1  (at 42.27 in your post)

is the same as the dimension lb-ft/s  (at 550 in your post).


    +----------------------------------------------------------------+
    |     So, there is NO any trouble with the dimension units:      |
    |  they are consistent, they are simply the same dimension unit. |
    +----------------------------------------------------------------+



Second, if  550 lb-ft/s  is  1 hp, then  42.27 lb-ft/s  is   = 0.0769 hp.


That's all.