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Task 4

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Cal Wing 2025-02-14 21:42:21 +01:00
parent d201782caf
commit 03eca6138d
1 changed files with 42 additions and 15 deletions
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a1.py
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@ -1,5 +1,5 @@
# These could be from the std math lib, but I like the numpy ones better personally
from numpy import sin, cos, pi
from numpy import sin, cos, pi, sqrt
# Pull a1 support
from a1_support import GRAVITY_ACC, WATER_DENSITY, HELP_MESSAGE
@ -12,7 +12,8 @@ __date__ = "14/02/2025"
__version__ = "1.0.0"
# Task 1 [Broken]
def determine_power_used(water_mass: float, elevation: float, pumping_time: float, efficiency: float) -> float:
def determine_power_used(water_mass: float, elevation: float,
pumping_time: float, efficiency: float) -> float:
"""
Calculates the power required to pump a certain mass of water a certain height
taking into account the pumping_time and efficiency.
@ -39,18 +40,19 @@ def determine_power_used(water_mass: float, elevation: float, pumping_time: floa
return power_used / 1e3 # W -> kW
# Task 2
def determine_water_released(gen_power: float, elevation: float, pumping_time: float, efficiency: float) -> float:
def determine_water_released(gen_power: float, elevation: float,
pumping_time: float, efficiency: float) -> float:
"""
Calculates the mass of water released required to generate a specified power
Parameters:
gen_power (float): the specified power to be generated [kW]
elevation (float): the height difference [m]
pumping_time (float): the time the pump is running for [hrs]
efficiency (float): the conversion efficiency [%]
Returns:
(float): the mass of the water required [kg]
Calculates the mass of water released required to generate a specified power
Parameters:
gen_power (float): the specified power to be generated [kW]
elevation (float): the height difference [m]
pumping_time (float): the time the pump is running for [hrs]
efficiency (float): the conversion efficiency [%]
Returns:
(float): the mass of the water required [kg]
"""
# How much electrical engery was generated?
@ -65,7 +67,8 @@ def determine_water_released(gen_power: float, elevation: float, pumping_time: f
return water_mass
# Task 3
def determine_cost_to_pump(gen_power: float, pumping_time: float, off_peak_tariff: float) -> float:
def determine_cost_to_pump(gen_power: float, pumping_time: float,
off_peak_tariff: float) -> float:
"""
Calculates the cost of using the pump during off peak period
@ -82,7 +85,29 @@ def determine_cost_to_pump(gen_power: float, pumping_time: float, off_peak_tarif
return cost
# Task 4
def calc_speed_at_outlet(water_height: float) -> float:
"""
Calculates the speed of the water at the outlet of the dam
Parameters:
water_height (float): the height of the water in the pipe [m]
Returns:
(float): the speed of the water at the outlet [m/s]
"""
speed = sqrt(2 * water_height * GRAVITY_ACC)
return speed
# Task 5
def calc_new_water_height(old_water_height: float, reservoir_area: float,
outlet_area: float, time_inc: float) -> tuple[float, float]:
return (0.0, 0.0)
# See if I get what the task sheet wants
@ -91,7 +116,9 @@ def sheet_tasks():
TASKS = (
(determine_power_used, (5e6, 250, 8, 85), 500.9191176470588),
(determine_water_released, (300, 250, 8, 85), 2994495.4128440367),
(determine_cost_to_pump, (300, 8, 0.02), 48),
(determine_cost_to_pump, (300, 8, 0.02), 48),
(calc_speed_at_outlet, (30), 24.261079942986875),
(calc_new_water_height, (20, 40000, 1, 30), (19.985143183382704, 592567.1021442247)),
)
for i, (task, args, expected) in enumerate(TASKS):