Specify a chain drive system $($ANSI chain number, number of strands, length, lubrication type, and sprocket sizes$)$ to transfer power from a $40$ hp internal combustion engine to sawmill machinery, which runs for $16$ hours per day. The engine runs at $900$ rpm while the machinery runs at $300$ rpm $.$ Due to physical space limitations$,$ the center distance should be approximately $24$ in and the overall "size" of the sprock $[$ts should be less than $36$ in$,$ as illustrated below. Estimate the sprocket size by the pitch diameter.