Question $3$

Two machines are coupled together using an open belt drive. The driving and driven shafts rotate at $*140rpm$ and $350$ rpm $,$ respectively. The parallel shafts connecting the pulleys are $1\mathrm{.}2$ m apart and the diameter of the driven pulley is $480$ mm $.$ The belt is $5$ mm thick and $80$ mm wide, the coefficient of friction between the belt and both pulleys is $0\mathrm{.}3.$ The maximum permissible tension in the belt material is $1\mathrm{.}4$ MPa $.$

a$)$ Determine the diameter of the driving pulley.

$(2)$

b$)$ Determine the angle of contact for the two pulleys.

$(2)$

c$)$ Determine the power factor for both pulleys.

$(2)$

d$)$ Determine the belt tensions $T_1$ and $T_2.$

$(2)$

e$)$ Calculate the power that can be transmitted by the drive.

$(2)$

f$)$ Calculate the initial tension $(T_0)$ of the belt drive.

$(2)$

g$)$ Calculate the power transmitted by the drive if the initial tension $(T_0)$ is increased by $15\%.$

$(5)$

h$)$ Calculate the power factor for the large and small pulley if the coefficient of friction is increased

$(2)$

by $15\%.$

i$)$ If the flat pulleys are replaced by V $-$pulleys with a groove angle of $30,$ what is the power factor for the large and small pulley.

$(2)$

$[21]$

Please write down using pen.