$2$ Numerical Problems $(3$pts$)$

$*$Question $1(1$pt in total$)$:

Imagine the two pulleys shown in Figure $1$ connected to each other with a V$-$belt. The radius of

the driver pulley is $10$ cm whereas that for the driven pulley is $40$ cm $.$

$1[$a$]-(0\mathrm{.}25pts)$ : What will be the ratio of the RPMs of the driven to the driver pulley? Also

find the ratio of the angular velocity of the driven to the driver pulley.

$1[b]-(0\mathrm{.}25pts)$: Assume the driver pulley is mounted on a shaft driven by a motor at $5000$

Watts. The RPM of the driver pulley are $N=1000.$ What is the torque acting on it$?$

$1[$c$]-(0\mathrm{.}25$ pts