Response:
216000 W or 216 kW
Details:
Power: This refers to the rate at which energy is utilized or consumed. The standard unit for power is the Watt (W).
In general,
Power = Energy/time
P = E/t........................ Equation 1.
However,
E = 1/2mv²..................... Equation 2
with m representing mass, and v indicating velocity.
Substituting equation 2 into equation 1,
P = 1/2mv²/t...................... Equation 3
Assuming flow rate (Q) = m/t,
Q = m/t................ Equation 4
Insert equation 4 into equation 3,
P = Qv²/2........................ Equation 5
Where Q stands for flow rate, v is velocity, and P denotes power.
Given: Q = 120 kg/s, v = 60 m/s
Plug these values into equation 5,
P = 120(60)²/2
P = 60(60)²
P = 60×3600
P = 216000 W.
Thus, the potential power generation of the water jet is 216000 W or 216 kW.
