$(20$ marks$)$

where power transmission is bmit power between perpendicular shafts while worm gearing is employed can be integrated together for complex powallel, non$-$intersecting shafts. Two or more types of gearings in the figure below in which a motor transer transmission mechanisms. One such application is shown composed of two bevel gears $(2$ and $3)$ with in the figure below. The motor rotates $($CCW straight teeth cuts, a worm $(4),$ and a worm gear $(5),$ as shown power is $25$ kW $.$ The bevel gear $2$ mounted$)$ the input shaft $"a"$ at a speed $n_2=1000rpm$ and the input Both bevel gears have a module of $4$ mm $,$ on shaft $"$a$"$ transmits power to shaft $"$c$"$ via bevel gear $3.$ threaded right$-$hand worm $(4)$ is mounted, pressure angle of $20,$ tooth face width of $50$ mm $.$ A threeoutput flywheel$).$ Gear $5$ has a helix angle on the same shaft $"c"$ and meshed with gear $5($which runs the $14\mathrm{.}5.$ The worm diameter is $50$ mm and it $15,$ normal module of $4$ mm $,$ and normal pressure angle of