Solved step by step Explanation: Calculate (a) the power output.

To calculate the required values, we can use the following equations and assumptions:

(a) The power output can be calculated using the equation:

g = acceleration due to gravity

H = net head

N = normal operating speed

D = wheel diameter

T = (Power * 1000) / (2 * π * N)

(e) The approximate torque at zero speed can be assumed to be zero.

p = 4.9 MPa = 4.9 * 10^6 Pa

Step 2: Calculate the flow rate (Q):

Assuming the density of water as 1000 kg/m^3.

Step 4: Calculate the net head (H):

Given Knozle = 0.04

Assuming the overall efficiency (η) as 0.86.

Step 6: Calculate the normal operating speed (N):

Given 7 = 0.86

Step 7: Calculate the approximate runaway speed (V_runaway):

Given g = 9.81 m/s^2

Step 8: Calculate the torque at normal operating speed (T):

T = (Power * 1000) / (2 * π * N)

To summarize:

(a) The power output is approximately 2448.85 kW.