GATE (CE) 2022 : Fluid Mechanics and Hydraulics Quiz #6

A channel of width 450 mm branches into two sub-channels having width 300 mm and 200 mm as shown in figure. If the volumetric flow rate (taking unit depth) of an incompressible flow through the main channel is 0.9 m³/s and the velocity in the sub-channel of width 200 mm is 3 m/s, the velocity in the sub-channel of width 300 mm is ____ m/s.
Assume both inlet and outlet to be at the same elevation.

A fluid of dynamic viscosity 2 × 10^-5kg/m.s and density 1 kg/m³ flows with an average velocity of 1 m/s through a long duct of rectangular (25 mm x 15 mm) cross-section. Assuming laminar flow, the pressure drop (in Pa) in the fully developed region per meter length of the duct is ________

In the given sprinkler system, the length of two unequal arms are shown. Water issues out of the nozzles at 8 m/s. Find the speed at which the sprinkler rotates (rad/sec).

A jet of water from a nozzle is deflected through 60° from its original direction by curved plate in which it enters tangentially without shock in the horizontal direction, with a velocity of 30 m/s and leaves with mean velocity of 25 m/s. If discharge from nozzle is 0.8 kg/s. Calculate magnitude of resultant force in N.