(QUESTION) Using the required programming language (python, matlab, etc.) plot the variation of pressure on the piston surface as a function of time until the piston moves 9 m, with the help of the following commands below. This problem will be solved for U_p =1, 4, 16, 64, 256 m/s. We'll assume that the time starts at t = 0 when the piston starts moving. (PLEASE TAKE A SCREENSHOT OF THE PLOTTING AND OTHER RESULTS.) Note: Since we don't have the exact time intervals or the rate at which the piston moves, we'll assume a constant speed and divide the distance by the speed to get the time taken.   (QUESTION) COMMANDS import matplotlib.pyplot as plt import numpy as np # Given parameters diameter = 0.1 # meters length = 10 # meters initial_pressure = 10e3 # Pascals initial_temperature = 288 # Kelvin # Convert diameter to radius radius = diameter / 2 # Calculate initial and final volumes initial_volume = np.pi * radius**2 * length final_volume = np.pi * radius**2 * (length - 9) # Calculate initial and final pressures initial_pressure = initial_pressure final_pressure = (initial_pressure * initial_volume) / final_volume # Time taken for piston to move 9 m (distance / speed) time_taken = 9 / np.array([1, 4, 16, 64, 256]) # Calculate pressures at each time step pressures = final_pressure * np.ones_like(time_taken) # Plotting plt.plot(time_taken, pressures, 'o-') plt.xlabel('Time (s)') plt.ylabel('Pressure on Piston Surface (Pa)') plt.title   Conclusion: Using the codes above, we need to calculate the pressure on the piston surface at different time steps for different piston speeds (U_p):

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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(QUESTION) Using the required programming language (python, matlab, etc.) plot the variation of pressure on the piston surface as a function of time until the piston moves 9 m, with the help of the following commands below. This problem will be solved for U_p =1, 4, 16, 64, 256 m/s. We'll assume that the time starts at t = 0 when the piston starts moving. (PLEASE TAKE A SCREENSHOT OF THE PLOTTING AND OTHER RESULTS.)

Note: Since we don't have the exact time intervals or the rate at which the piston moves, we'll assume a constant speed and divide the distance by the speed to get the time taken.

 

(QUESTION) COMMANDS

import matplotlib.pyplot as plt

import numpy as np

# Given parameters

diameter = 0.1 # meters

length = 10 # meters

initial_pressure = 10e3 # Pascals

initial_temperature = 288 # Kelvin

# Convert diameter to radius

radius = diameter / 2

# Calculate initial and final volumes

initial_volume = np.pi * radius**2 * length

final_volume = np.pi * radius**2 * (length - 9)

# Calculate initial and final pressures

initial_pressure = initial_pressure

final_pressure = (initial_pressure * initial_volume) / final_volume

# Time taken for piston to move 9 m (distance / speed)

time_taken = 9 / np.array([1, 4, 16, 64, 256])

# Calculate pressures at each time step

pressures = final_pressure * np.ones_like(time_taken)

# Plotting

plt.plot(time_taken, pressures, 'o-')

plt.xlabel('Time (s)')

plt.ylabel('Pressure on Piston Surface (Pa)')

plt.title

 

Conclusion: Using the codes above, we need to calculate the pressure on the piston surface at different time steps for different piston speeds (U_p):

1. Up = 1m
2. Up = 4
S
3. up = 16 m
Up
S
4. Up = 64
S
5. Up = 256m
S
Transcribed Image Text:1. Up = 1m 2. Up = 4 S 3. up = 16 m Up S 4. Up = 64 S 5. Up = 256m S
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