Energy
Energy
Energy is never created or destroyed First Law of Thermodynamics, but it can be transferred from one object to another. It also comes in many different forms (kinetic, potential, thermal, chemical, electrodynamic and nuclear) and can be converted from any one of these forms into any other, and vice versa. Energy can be converted from one form to another in three basic ways: through the action of forces (gravitational forces, electric and magnetic force fields, frictional forces), when atoms absorb or emit photons of light and when nuclear reaction occurs.
Typical units for mechanical energy is foot-pounds and joules, english energy is British thermal unit. \(\;Btu = \frac {ft-lbf}{J}\)
Energy formula
\( E = m U \) \( energy \;=\; mass \;\;x\;\; internal \; energy \)
\( E = F l = \frac {ml^2}{t^2} \) \( energy \;=\; force \;\;x\;\; length \;=\; \frac { mass \;\;x\;\; length^2 } { time^2 } \)
Where:
\(E\) = energy
\(m\) = mass
\(U\) = internal energy
\(F\) = force
\(l\) = length
\(t\) = time
Elastic Potential Energy
Elastic potential energy is the energy stored in objects as the result of deformation, such as a spring when stretching or compressing.
Elastic Potential Energy formula
\( PE = \frac {1}{2} kx^2\) \( elastic \; potential \; energy \;=\; \frac {1} {2} \; spring \; constant \;\;x\;\; length^2\)
Where:
\(PE\) or \(E_p\) = elastic potential energy
\(k\) = spring constant
\(x\) = length or displacement
Electric Potential Energy
Electric potential energy known as voltage, is when two opposite charges are held apart.
Electric Potential Energy formula
\( V = \frac {W}{C}\) \( voltage \;=\; \frac { work } { change }\)
Where:
\(V\) = voltage or electric potential energy
\(W\) = work
\(C\) = charge
Heat Energy
Heat energy (also called thermal energy) is the exertion of power that is created by heat, or the increase in temperature by the transfer of particles bouncing into each other by means of kinetic energy. Here are a few examples of heat energy: fire, geothermal, lightening, oven, steam, the sun, etc.
Internal Energy
Internal energy is the total of all energies associated with the motion of the molecules in the system.
Internal Energy FORMULA
\(U = \frac {3} {2} n R T_a \) \( internal \; energy \;=\; \frac {3} {2} \; moles \;\;x\;\; ideal \; gas \; constant \;\;x\;\; absolute \; temperature \)
Where:
\(U\) = internal energy
\(R\) = ideal gas constant
\(T_a\) = absolute temperature
\(n\) = moles
Kinetic Energy
Kinetic energy is the energy in moving objects or mass. If it moves, it has kinetic energy.
Kinetic Energy formula
\(KE = \frac {1}{2} m v^2 \) \( kinetic \; energy \;=\; \frac {1}{2} \; mass \;\;x\;\; velocity^2 \)
\(KE = \frac {P^2}{2m}\) \( kinetic \; energy \;=\; \frac { power^2 } { 2 \;\;x\;\; mass } \)
Where:
\(KE \) = kinetic energy
\(m\) = mass
\(v\) = velocity
\(P\) = power
Solve for:
\(m = \frac {2 KE}{v^2} \)
\(v = \sqrt { \frac {2 KE}{m} } \)
Mechanical Energy
Mechanical energy is the sum of kinetic energy and potential energy generating from the force of gravity or the movement released in machine movement.
Mechanical Energy Formula
\(ME = PE + KE \) \( mechanical \; energy \;=\; potential \; energy \;+\; kinetic \; energy \)
Where:
\(ME \) = mechanical energy
\(PE\) = potential energy
\(KE\) = kinetic energy
Potential Energy
Potential energy (Gravitational Potential Energy) is the possessed energy by a body due to its relative position in a gravitational field. As the elevation of the body decreases the less potential energy.
Potential Energy formula
\( PE = m g h \) \( potential \; energy \;=\; mass \;\;x\;\; gravity \;\;x\;\; height \)
Where:
\(PE\) or \(E_p\) = potential energy
\(m\) = mass
\(g\) = gravity
\(h\) = height
Solve for:
\( m = \frac {PE} {g h} \)
\( g = \frac {PE} {m h} \)
\( h = \frac {PE} {m g} \)
Rotational Kinetic Energy
Rotational Kinetic Energy formula
\(KE_r = \frac {1}{2} I \omega^2 \) \( rotational \; kinetic \; energy \;=\; \frac {1}{2} \; moment \; of \; inertia \;\;x\;\; angular \; velocity^2 \)
Where:
\(KE_r \) = rotational kinetic energy
\(I\) = moment of inertia
\(\omega\) (Greek symbol omega) = angular velocity
Spring Energy
Spring energy is the energy stored in elastic materials as the result of their stretching or compressing.
Spring Energy formula
\(E_s = \frac {1}{2} k_s d_s ^2 \;\) \( speing \; energy \;=\; \frac {1}{2} \; spring \; constant \;\;x\;\; spring \; displacement ^2 \;\)
Where:
\(E_s\) = spring energy
\(k_s\) = spring constant
\(d_s\) = spring displacement
Thermal Energy
Thermal energy (also called heat energy and heat transfer) is the exertion of power that is created by heat, or the increase in temperature.
Thermal Energy Formula
\(Q = mc \Delta T\) \( thermal \; energy \;=\; mass \;\;x\;\; specific \; heat \;\;x\;\; temperature \; differential\)
Where:
\(Q\) or \(TE\) = thermal energy
\(m\) = mass
\(c\) = specific heat
\(\Delta T\) = temperature differential
Solve for:
\(c = \frac {Q } {m \Delta T}\)
\(\Delta T = \frac {Q}{mc}\)
Work Energy
Energy is never created or destroyed but external work performed on a conservative system goes into changing the system's total energy.
Work Energy formula
\(W=\Delta E = E_2 \;-\; E_1 \;\) \(work \;=\; energy \; differential \;=\; energy_2 \;-\; energy_1 \;\)
Where:
\(W\) = work
\(\Delta E\) = energy differential
\(E\) = energy
Tags: Equations for Energy