Final answer:
The question pertains to calculating important parameters related to a hydroelectric power plant such as the speed of the wheel, theoretical efficiency, and theoretical power output. Engineering principles along with a fundamental equation involving density, gravity, height, flow rate, and conversion efficiency are used to calculate these values.
Step-by-step explanation:
The subject of the question involves the calculation of power and efficiency in a Hydro Electric Power Plant, which is related to the field of Engineering. Calculating the best speed of the wheel, theoretical efficiency, and theoretical power are tasks typically performed by engineers when designing and assessing the performance of hydroelectric plants.
To calculate the theoretical power output, one would typically use the formula P = ρghQη, where P is the power in watts, ρ is the density of water (approximately 1000 kg/m³), g is the acceleration due to gravity (9.81 m/s²), h is the effective head or height of the water reservoir, Q is the flow rate (cubic meters per second), and η is the efficiency of conversion (usually less than 1). Using the information provided and assuming a nozzle discharge (flow rate) of 2.84 cubic meters per second (cumecs), one would simply input these values into the formula to find the theoretical power available.