QUESTION $1$

A $0\mathrm{.}5$ m diameter pipe carries oil from station $"P"$ to $"S"$ The velocity of oil flowing in the pipe is measured as $0\mathrm{.}3\frac{m}{s}.$ The oil is pumped to a hill station $"$ S $"$ which is at an elevation of $50$ m from the ground $"P".$ Pressure of oil at the foot of the hill is $60\frac{N}{c}{m}^2.$ Determine the volume flow rate and the mass flow rate of oil flowing in the pipe. Determine the total head at the pumping station and also at the hill station. Assume the $sp.gr$ of oil is $0\mathrm{.}97.$

$[12]$