Ridge is n efficiency of 73 is installed at 25 pts The actua

Ridge is n efficiency of 73%, is installed at (25 pts) The actual vertical deflection required for the problem 1 pipe alignment across Plum 20.5 m above the Obren reservoir surface. A Dadgum pump with a Obrien reservoir to overcome the elevation difference. The pump is powered by a Dagnabbit motor with an st cency of 85%, Determine the pover requirement ofthis system (in kw) How many lightbulbs would demand an equivalent amount of power? 2. 30 ·+22 +- LA 58 o.7s 39 K show work-

Solution

The ideal hydraulic power required to drive a pump is given by -

P_h = Flow discharge x fluid density x acceleration due to gravity x differential head

Assuming flow discharge as 1 m³/ sec,

P_h(kW) = 1 x 1000 kg/m³ x 9.81 m/s² x 20.5 = 201105 W = 201.105kW

Now, the shaft power i.e. the power required transferred from the motor to the shaft of the pump depends upon the efficiency of the pump and is equal to P_h/ efficiency of the pump

here, efficiency of the pump = 73%

therefore, the shaft power= 201.105/ 0.73 = 275.486 kW

Now, the efficiency of the motor for powering the pump is 85%,

The power requirement of the motor = 275.486/0.85 = 324.101 kW

Thus, the power requirement of the system is 324.101 kW

Number of 60W lightbulbs demanding an equivalent amount of power = 324.101 x 1000 / 60 = 5401.68 or 5402 lightbulbs.