# Symbolic algebra

ⓘ Hint: This calculator supports symbolic math. You can enter numbers, but also symbols like a, b, pi or even whole math expressions such as (a+b)/2. If you still don't sure how to make your life easier using symbolic algebra check out our another page: Symbolic calculations

# Inputs data - value and unit, which we're going to convert#

Value | ||

Unit | ||

Decimals |

# $1$ (wat) is equal to:#

# Watts#

Unit | Symbol | Symbol (plain text) | Value as symbolic | Value as numeric | Notes | Unit conversion formula |

milliwatt | Show source$mW$ | mW | Show source$\text{...}$ | - | Equivalent to one millionth of watts (0.000001 W). See the watt unit for more information.$1\ mW = 10^{-6}\ W$ | Show source$...$ |

wat | Show source$W$ | W | Show source$\text{...}$ | - | Basic power unit in the SI system. One watt corresponds to one joule work performed in one second. $1\ W = \frac{J}{s}$ | Show source$...$ |

joule per second | Show source$\frac{J}{s}$ | J/s | Show source$\text{...}$ | - | Equivalent to one watt. See the wat unit for more information. | Show source$...$ |

kilowatt | Show source$kW$ | kW | Show source$\text{...}$ | - | Equivalent to one thousand watts (1000 W). A unit used, among others, to measure the power of motors (next to horsepower) or in stage electroacoustics. See the watt unit for more information.$1\ kW = 1000\ W$ | Show source$...$ |

megawatt | Show source$MW$ | MW | Show source$\text{...}$ | - | Equivalent to one million watts (1,000,000 W). A unit often used in the power industry.$1\ MW = 1000\ 000\ W$ | Show source$...$ |

gigawatt | Show source$GW$ | GW | Show source$\text{...}$ | - | Equivalent to one billion watts (1,000,000,000 W). A unit used among others in the power industry. See the watt unit for more information.$1\ GW = 10^9\ W$ | Show source$...$ |

# Horse powers#

Unit | Symbol | Symbol (plain text) | Value as symbolic | Value as numeric | Notes | Unit conversion formula |

horsepower metric | Show source$hp(M)$ | hp(M) | Show source$\text{...}$ | - | A unit of power came from meter-kilogram-second system (MKS). Although the MKS system was replaced by SI units horsepower is still often used to determine the power of internal combustion engines. Historically, one horsepower corresponded to an eight-hour work shift (1/3 day) of one live horse. One horsepower corresponds to fifty-five kilograms per second (75 kgf m/s). $1\ hp(M) = 75\ \frac {kgf \cdot m}{s}$ | Show source$...$ |

horsepower imperial | Show source$hp(I)$ | hp(I) | Show source$\text{...}$ | - | A power unit used in Anglo-Saxon countries. One British horsepower corresponds to the power required to pick up five hundred and fifty pounds (550 lb) at one foot height (1 ft) within one second (1 s). See the horsepower unit for more information. $1 \ hp(I) = 550\ \frac{lbf \cdot ft}{s}$ | Show source$...$ |

horsepower eletrical | Show source$hp(E)$ | hp(E) | Show source$\text{...}$ | - | Power unit used for electric motor rating. One electric horse corresponds to seven hundred and forty-six watts (746 W).See the wat unit for more information.$1\ hp(E) = 746\ W$ | Show source$...$ |

horsepower boiler | Show source$hp(S)$ | hp(S) | Show source$\text{...}$ | - | Historic power unit initially used to determine the power of steam engines. One boiler horse corresponds to heat flux required to steam thirty-four and a half pounds of water (34.5 lb) at temperature 212°F within one hour. See the horsepower unit for more information. | Show source$...$ |

Pferdestärke | Show source$ps$ | ps | Show source$\text{...}$ | - | Alternative name of metric horsepower (1 hp(M)) came from Germany. See the metric horsepower unit for more information.$1\ ps = 1\ hp(M)$ | Show source$...$ |

# Gravitational#

Unit | Symbol | Symbol (plain text) | Value as symbolic | Value as numeric | Notes | Unit conversion formula |

foot-pound-force per hour | Show source$\frac{ft \times lbf}{h}$ | ft·lbf / h | Show source$\text{...}$ | - | Power unit used in Anglo-Saxon countries. One foot-pound-force per hour corresponds to the power needed to raise a mass of one pound to height of one foot within one hour. | Show source$...$ |

foot-pound-force per minute | Show source$\frac{ft \times lbf}{min}$ | ft·lbf / min | Show source$\text{...}$ | - | Power unit used in Anglo-Saxon countries. One foot-pound-force per minute corresponds to the power needed to raise a mass of one pound to height of one foot within one minute.$1\ \frac{ft \times lbf}{min} = \frac{ft \times lbf}{1/60\ h} = 60\ \frac{ft \times lbf}{h}$ | Show source$...$ |

foot-pound-force per second | Show source$\frac{ft \times lbf}{s}$ | ft·lbf / s | Show source$\text{...}$ | - | Power unit used in Anglo-Saxon countries. One foot-pound-force per second corresponds to the power needed to raise a mass of one pound to height of one foot within one second.$1\ \frac{ft \times lbf}{s} = \frac{ft \times lbf}{1/3600\ h} = 3600\ \frac{ft \times lbf}{h}$ | Show source$...$ |

# Pressure related#

Unit | Symbol | Symbol (plain text) | Value as symbolic | Value as numeric | Notes | Unit conversion formula |

atmosphere cubic foot per hour | Show source$\frac{atm \times ft^3}{h}$ | atm·cfh | Show source$\text{...}$ | - | Equivalent power needed to compress gas with volume of one cubic foot to pressure of one atmosphere in one hour. | Show source$...$ |

atmosphere cubic foot per minute | Show source$\frac{atm \times ft^3}{min}$ | atm·cfm | Show source$\text{...}$ | - | Equivalent power needed to compress gas with volume of one cubic foot to pressure of one atmosphere in one minute.$1\ \frac{atm \times ft^3}{min} = \frac{atm \times ft^3}{1/60\ h} = 60\ \frac{atm \times ft^3}{h}$ | Show source$...$ |

atmosphere cubic foot per second | Show source$\frac{atm \times ft^3}{s}$ | atm·cfs | Show source$\text{...}$ | - | Equivalent power needed to compress gas with volume of one cubic foot to pressure of one atmosphere in one second.$1\ \frac{atm \times ft^3}{s} = \frac{atm \times ft^3}{1/3600\ h} = 3600\ \frac{atm \times ft^3}{h}$ | Show source$...$ |

atmosphere cubic centimetre per hour | Show source$\frac{atm \times cm^3}{h}$ | atm·cch | Show source$\text{...}$ | - | Equivalent power needed to compress gas with volume of one cubic centimeter to pressure of one atmosphere in one hour. | Show source$...$ |

atmosphere cubic centimetre per minute | Show source$\frac{atm \times cm^3}{min}$ | atm·ccm | Show source$\text{...}$ | - | Equivalent power needed to compress gas with volume of one cubic centimeter to pressure of one atmosphere in one minute.$1\ \frac{atm \times cm^3}{min} = \frac{atm \times cm^3}{1/60\ h} = 60\ \frac{atm \times cm^3}{h}$ | Show source$...$ |

atmosphere cubic centimetre per second | Show source$\frac{atm \times cm^3}{s}$ | atm·ccs | Show source$\text{...}$ | - | Equivalent power needed to compress gas with volume of one cubic centimeter to pressure of one atmosphere in one second.$1\ \frac{atm \times cm^3}{s} = \frac{atm \times cm^3}{1/3600\ h} = 3600\ \frac{atm \times cm^3}{h}$ | Show source$...$ |

litre-atmosphere per hour | Show source$\frac{l \times atm}{h}$ | l·atm/h | Show source$\text{...}$ | - | Equivalent power needed to compress gas with volume of one litre to pressure of one atmosphere in one hour. | Show source$...$ |

litre-atmosphere per minute | Show source$\frac{l \times atm}{min}$ | l·atm/min | Show source$\text{...}$ | - | Equivalent power needed to compress gas with volume of one litre to pressure of one atmosphere in one minute.$1\ \frac{l \times atm}{min} = \frac{l \times atm}{1/60\ h} = 60\ \frac{l \times atm}{h}$ | Show source$...$ |

litre-atmosphere per second | Show source$\frac{l \times atm}{s}$ | l·atm/s | Show source$\text{...}$ | - | Equivalent power needed to compress gas with volume of one litre to pressure of one atmosphere in one second.$1\ \frac{l \times atm}{s} = \frac{l \times atm}{1/3600\ h} = 3600\ \frac{l \times atm}{h}$ | Show source$...$ |

lusec | Show source$\frac{l \times \mu mHg}{s}$ | L·µmHg/s | Show source$\text{...}$ | - | Power unit used to measure the performance of the vacuum pump. One lusec corresponds to the flow of one litre (1 l) per second (1 s) at the pressure of one millitor (1 mtorr).$1\ lusec = \frac{1\ l \times mtorr}{s} = \frac{1\ l \times \mu mHg}{s}$ | Show source$...$ |

# Heat transfer#

Unit | Symbol | Symbol (plain text) | Value as symbolic | Value as numeric | Notes | Unit conversion formula |

BTU_{IT} per hour | Show source$\frac{BTU_{IT}}{h}$ | BTU_{IT}/h | Show source$\text{...}$ | - | Equivalent to heat flow at the speed of one British thermal unit (1 BTU) per hour (60 min). | Show source$...$ |

BTU_{IT} per minute | Show source$\frac{BTU_{IT}}{min}$ | BTU_{IT}/min | Show source$\text{...}$ | - | Equivalent to heat flow at the speed of one British thermal unit (1 BTU) per minute (60 s).$1\ \frac{BTU_{IT}}{min} = \frac{BTU_{IT}}{1/60\ h} = 60\ \frac{BTU_{IT}}{h}$ | Show source$...$ |

BTU_{IT} per second | Show source$\frac{BTU_{IT}}{s}$ | BTU_{IT}/s | Show source$\text{...}$ | - | Equivalent to heat flow at the speed of one British thermal unit (1 BTU) per second (1 s).$1\ \frac{BTU_{IT}}{s} = \frac{BTU_{IT}}{1/3600\ h} = 3600\ \frac{BTU_{IT}}{h}$ | Show source$...$ |

calorie (International Table) per hour | Show source$\frac{cal_{IT}}{h}$ | cal_{IT}/h | Show source$\text{...}$ | - | Equivalent to heat flow at the speed of one calorie (1 cal) per hour (60 min). | Show source$...$ |

calorie (International Table) per minute | Show source$\frac{cal_{IT}}{min}$ | cal_{IT}/min | Show source$\text{...}$ | - | Equivalent to heat flow at the speed of one calorie (1 cal) per minute (60 s).$1\ \frac{cal}{min} = \frac{cal}{1/60\ h} = 60\ \frac{cal}{h}$ | Show source$...$ |

calorie (International Table) per second | Show source$\frac{cal_{IT}}{s}$ | cal_{IT}/s | Show source$\text{...}$ | - | Equivalent to heat flow at the speed of one calorie (1 cal) per second (1 s).$1\ \frac{cal}{s} = \frac{cal}{1/3600\ h} = 3600\ \frac{cal}{h}$ | Show source$...$ |

# Heating and air conditioning#

Unit | Symbol | Symbol (plain text) | Value as symbolic | Value as numeric | Notes | Unit conversion formula |

square foot equivalent direct radiation | Show source$\text{sq ft EDR}$ | sq ft EDR | Show source$\text{...}$ | - | A power unit used to measure the performance of radiators and heat sinks. Historically, one square foot EDR (equivalent direct radiation) corresponded to the power given by the radiator by area of one square foot (1 sq ft ).$1\ sq\ ft\ EDR = 240\ \frac{BTU_{IT}}{h} \approx 70.337057\ W$ | Show source$...$ |

ton of air conditioning | Show source$\text{ton AC}$ | ton AC | Show source$\text{...}$ | - | A power unit used to measure air conditioning performance. One ton of ice conditioning (1 TR) corresponds to the heat flow required to melt one ton of pure ice at temperature 0°C within one day (24 h).$1\ ton\ AC \approx 12000\ \frac{BTU_{IT}}{h} \approx 3.5\ kW$ | Show source$...$ |

ton of refrigeration (IT) | Show source$TR$ | TR | Show source$\text{...}$ | - | A power unit used in the United States to measure performance of air conditioning. One ton of refrigeration (1 TR) corresponds to the heat flow required to melt one short ton (1 sh ton) of pure ice at temperature 0°C within one day (24 h).$1\ TR = 1\ BTU_{IT} \times 1\ \frac{sh\ ton}{lb} \times 10\ \frac{min}{s} \approx 3.516853 \ kW$ | Show source$...$ |

ton of refrigeration (Imperial) | Show source$TR_{UK}$ | TR (UK) | Show source$\text{...}$ | - | An imperial power unit used to measure the performance of air conditioning. One imperial ton of refrigeration (1 TR) corresponds to the heat flow required to melt one long ton (1 lng ton) of pure ice at temperature 0°C within one day (24 h). See mass unit long ton to learn more.$1\ TR = 1\ BTU_{IT} \times 1\ \frac{lng\ ton}{lb} \times 10\ \frac{min}{s} \approx 3.938 875 \ kW$ | Show source$...$ |

# Other#

Unit | Symbol | Symbol (plain text) | Value as symbolic | Value as numeric | Notes | Unit conversion formula |

poncelet | Show source$p$ | p | Show source$\text{...}$ | - | Historic power unit used in France. One poncelet corresponded to the power needed to give a mass of one hundred kilograms (100 kg) the velocity of one meter per second (1 m/s).$1\ p = \frac{100\ kgf \times m}{s}$ | Show source$...$ |

# Some facts#

**Power determines the work**done by a physical system in given**time unit**.- Power is a
**scalar**. It means that it has no direction. **Basic power unit**in SI system is one watt (1 W). Power has value of one watt (1 J), when system done work of one joule (1 J) in time of one second (1 s):

$1W = 1J/1s$- The
**instantaneous power**is defined as a**derivative of work**:

$P = \dfrac{dW}{dt}$ - To calculate the
**average power**over a period of time $[t_0, t_1]$, we need to**compute integral**:

$P_{avg.} = \dfrac{1}{t_1 - t_0} \times \int\limits_{t_0}^{t_1} P(t) dt$ - If work is constant (time independent), we can compute average power in simpler way using formula:

$P_{avg.}=\dfrac{W}{t}$where:

**W**- amount of work done,

**t**- time.

- Despite the widespread of the SI system,
**traditional power units**are still used in selected fields, e.g.:

- engine power is traditionally measured in horsepowers, depending on the region these are metric horsepowers (called Pferdestärke in Germany, abbreviated 1 ps) based on metric units (kilograms and meters) or imperial horsepowers based on imperial units (pounds and feet),
- radiator power and radiator efficiency sometimes traditionally given as the equivalent of direct square foot radiation (1 EPR) ,

- air conditioning performance is traditionally measured in the so-called tonnes of ice (ton AC),

- the efficiency of a vacuum pump is traditionally given in lusecs (1 lusec),

- etc.

- The
**power consumed by the electric device**can be calculated using the formula:

$P = U \times I$where:

**U**- the electric voltage,

**I**- the electric current.

- In alternative way, power can be understood as
**speed of energy emission**. - If certain electric device
**charge e.g. 60W of power**, then**the same amount of power is emitted**to the outside. This follows from the principle of conservation of energy. Almost all energy consumed by electrical devices is**emitted as heat**. This problem has become particularly noticeable with the rapid development of computers. In the early 90s processors found in personal computers do not required special cooling. Beggining from 586 (Pentium), the CPU fan has become an integral part of any personal computer.

# How to convert#

**Enter the number to field "value"**- enter the NUMBER only, no other words, symbols or unit names. You can use dot (**.**) or comma (**,**) to enter fractions.

Examples:- 1000000
- 123,23
- 999.99999

**Find and select your starting unit in field "unit"**. Some unit calculators have huge number of different units to select from - it's just how complicated our world is...**And... you got the result**in the table below. You'll find several results for many different units - we show you all results we know at once. Just find the one you're looking for.

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# Ancient version of this site - links#

In December 2016 the Calculla website has been republished using new technologies and all calculators have been rewritten. Old version of the Calculla is still available through this link: v1.calculla.com. We left the version 1 of Calculla untouched for archival purposes.

Direct link to the old version: "Calculla v1" version of this calculator

Direct link to the old version: "Calculla v1" version of this calculator