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What is characteristic equation in control systems?

Set 0=(denominator of the System Transfer Function), this is the Characteristic Equation of that system. This equation is used to determine the stability of a system and to determine how a controller should be designed to stabilize a system.


What is a dependent system?

A dependent system is defined as "a system of equations that has infinite solutions." It is an equation that is used in various mathematical situations.


What is system dependability?

A dependent system is defined as "a system of equations that has infinite solutions." It is an equation that is used in various mathematical situations.


What is the delta U equation and how is it used to calculate changes in internal energy?

The delta U equation is U Q - W, where U represents the change in internal energy, Q is the heat added to or removed from the system, and W is the work done by or on the system. This equation is used to calculate changes in internal energy by considering the heat transferred to the system and the work done on or by the system.


What is the pulley equation used for in mechanical systems?

The pulley equation is used in mechanical systems to calculate the relationship between the forces applied to a pulley system and the resulting motion or load. It helps determine the mechanical advantage and efficiency of the system.


What is the Boltzmann distribution equation and how is it used to describe the distribution of particles in a system?

The Boltzmann distribution equation is a formula that describes how particles are distributed in a system at a given temperature. It shows the relationship between the energy levels of particles and their probabilities of occupying those levels. This equation is used in physics to predict the distribution of particles in a system based on their energy levels and temperature.


What is the Atwood machine equation used for and how does it relate to the motion of the system?

The Atwood machine equation is used to calculate the acceleration of a system consisting of two masses connected by a string over a pulley. It relates the masses of the objects and the force of gravity to determine the acceleration of the system. This equation helps understand how the masses move in relation to each other and how their motion is affected by the forces acting on them.


What is the general power balance equation (GPB equation) used for in the field of engineering?

The General Power Balance (GPB) equation is used in engineering to analyze and calculate the distribution and flow of power within a system. It helps engineers understand how energy is transferred and transformed within a system, allowing them to optimize efficiency and performance.


How would use solve the system of equation x plus 3y equals 23 by using substitution?

You'd need another equation to sub in


What is the entropy equation and how is it used to quantify the amount of disorder or randomness in a system?

The entropy equation, S k ln W, is used in thermodynamics to quantify the amount of disorder or randomness in a system. Here, S represents entropy, k is the Boltzmann constant, and W is the number of possible microstates of a system. By calculating entropy using this equation, scientists can measure the level of disorder in a system and understand how it changes over time.


What is the potential energy voltage equation used to calculate the electrical potential energy stored in a system?

The potential energy voltage equation used to calculate the electrical potential energy stored in a system is given by the formula: Potential Energy Charge x Voltage.


What is the equation for Atwood's machine and how is it used to calculate the acceleration of the system?

The equation for Atwood's machine is: a (m2 - m1) g / (m1 m2), where a is the acceleration of the system, m1 is the mass of one object, m2 is the mass of the other object, and g is the acceleration due to gravity. This equation is used to calculate the acceleration of the system by taking into account the difference in masses of the two objects and the gravitational force acting on them.