old_contents: #!/usr/bin/env python3
  # -*- coding: utf-8 -*-
  """
  Utilities for acceleration
  """
  from UliEngineering.EngineerIO import normalize_numeric
  from UliEngineering.Units import Unit
  import numpy as np
  import scipy.constants
  
  __all__ = ["rpm_to_Hz", "rpm_to_rps", "hz_to_rpm", "angular_speed",
             "rotation_linear_speed", "centrifugal_force"]
  
  def rpm_to_Hz(rpm: Unit("rpm")) -> Unit("Hz"):
      """
      Compute the rotational speed in Hz given the rotational speed in rpm
      """
      rpm = normalize_numeric(rpm)
      return rpm / 60.
  
  def hz_to_rpm(speed: Unit("Hz")) -> Unit("rpm"):
      """
      Compute the rotational speed in rpm given the rotational speed in Hz
      """
      speed = normalize_numeric(speed)
      return speed * 60.
  
  rpm_to_rps = rpm_to_Hz
  
  def angular_speed(speed: Unit("Hz")) -> Unit("1/s"):
      """
      Compute ω, the angular speed of a centrifugal system
      """
      speed = normalize_numeric(speed)
      return 2*np.pi*speed
  
  def rotation_linear_speed(radius: Unit("m"), speed: Unit("Hz")) -> Unit("m/s"):
      """
      Compute the linear speed at a given [radius] for a centrifugal system rotating at [speed].
      """
      radius = normalize_numeric(radius)
      return radius * angular_speed(speed)
  
  def centrifugal_force(radius: Unit("m"), speed: Unit("Hz"), mass: Unit("g")) -> Unit("N"):
      """
      Compute the centrifugal force of a [mass] rotation at [speed] at radius [radius]
      """
      radius = normalize_numeric(radius)
      mass = normalize_numeric(mass) / 1000.0 # mass needs to be Kilograms TODO Improve
      return mass * angular_speed(speed)**2 * radius
  
  def rotating_liquid_pressure(density: Unit("kg/m³"), speed: Unit("Hz"), radius: Unit("m")) -> Unit("N"):
      """
      Compute the pressure in a body of liquid (relative to the steady-state pressure)
      The calculation does not include gravity.
  
      Also see https://www.youtube.com/watch?v=kIH7wEq3H-M
      Also see https://www.physicsforums.com/threads/pressure-of-a-rotating-bucket-of-liquid.38112/
      """
      density = normalize_numeric(density)
      speed = normalize_numeric(speed)
      radius = normalize_numeric(radius)
      return  density * angular_speed(speed)**2 * radius**2
  
new_contents: #!/usr/bin/env python3
  # -*- coding: utf-8 -*-
  """
  Utilities for acceleration
  """
  from UliEngineering.EngineerIO import normalize_numeric
  from UliEngineering.Units import Unit
  import numpy as np
  import scipy.constants
  
  __all__ = ["rpm_to_Hz", "rpm_to_rps", "hz_to_rpm", "angular_speed",
             "rotation_linear_speed", "centrifugal_force"]
  
  def rpm_to_Hz(rpm: Unit("rpm")) -> Unit("Hz"):
      """
      Compute the rotational speed in Hz given the rotational speed in rpm
      """
      rpm = normalize_numeric(rpm)
      return rpm / 60.
  
  def hz_to_rpm(speed: Unit("Hz")) -> Unit("rpm"):
      """
      Compute the rotational speed in rpm given the rotational speed in Hz
      """
      speed = normalize_numeric(speed)
      return speed * 60.
  
  rpm_to_rps = rpm_to_Hz
  
  def angular_speed(speed: Unit("Hz")) -> Unit("1/s"):
      """
      Compute ω, the angular speed of a centrifugal system
      """
      speed = normalize_numeric(speed)
      return 2*np.pi*speed
  
  def rotation_linear_speed(radius: Unit("m"), speed: Unit("Hz")) -> Unit("m/s"):
      """
      Compute the linear speed at a given [radius] for a centrifugal system rotating at [speed].
      """
      radius = normalize_numeric(radius)
      return radius * angular_speed(speed)
  
  def centrifugal_force(radius: Unit("m"), speed: Unit("Hz"), mass: Unit("g")) -> Unit("N"):
      """
      Compute the centrifugal force of a [mass] rotation at [speed] at radius [radius]
      """
      radius = normalize_numeric(radius)
      mass = normalize_numeric(mass) / 1000.0 # mass needs to be Kilograms TODO Improve
      return mass * angular_speed(speed)**2 * radius
  
  def rotating_liquid_pressure(density: Unit("kg/m³"), speed: Unit("Hz"), radius: Unit("m")) -> Unit("Pa"):
      """
      Compute the pressure in a body of liquid (relative to the steady-state pressure)
      The calculation does not include gravity.
  
      Also see https://www.youtube.com/watch?v=kIH7wEq3H-M
      Also see https://www.physicsforums.com/threads/pressure-of-a-rotating-bucket-of-liquid.38112/
      """
      density = normalize_numeric(density)
      speed = normalize_numeric(speed)
      radius = normalize_numeric(radius)
      return  density * angular_speed(speed)**2 * radius**2
  
subject: Fix rotating_liquid_pressure unit