UnitsSpeQ supports units on the areas of mechanics, electricity, temperature, and more. By using units you can make calculations with physical quantities easier and more reliable, because you can no longer make conversion mistakes (for example between meters, millimeters and inches). SpeQ automatically applies the right proportions. All SI units and US units are included. Additionally, you can also define your own units, as explained on the page Defining units.
All built-in units are listed on the page Units Overview. The available units are also listed in the Functionstree.
Units can be used in the following way:
Units are case sensitive. For example the prefixes m (milli) and M (mega) have a different meaning. So "2.5 mm" is not the same as "2.5 Mm".
' Examples of basic use of units 0.2 m * 12.1 cm Ans = 242 cm² 0.8 m + 12 inch Ans = 1.1048 m 3 m/s + 18 km/h Ans = 8 m/s 3.2 V / 5 A Ans = 0.64 Ohm
You can use suffixes as exponents, for example "4.5 m3" means 4.5 cubic meter.
Units can be overwritten by variable definitions. This can lead to strange error messages. For example when you define a variable "m = 2.5", the unit m (meter) is overwritten and can no longer be used. The unit m will no longer be recognized.
4.5 m3 In litre Ans = 4500 litre
' Overwritten unit m = 2.5 m = 2.5 3 m + 5.2 m Error: Unit m is overwritten by an user defined variable
Implicit multiplicationYou can enter a unit right behind a value. SpeQ calculates this as an implicit multiplication. For example "2.3 m" is calculated as "2.3 * m". It is important to realize that the implicit multiplication has lower precedence than the normal multiplication and division. Thus, "1/2 m" is calculated as "1/(2*m)" and not as "(1/2)*m". Note that this works different in older versions of SpeQ, where implicit multiplication has the same precedence.
' Be aware of the precedence of implicit multiplication with units 1/2 m Ans = 0.5/m (1/2) m Ans = 0.5 m
ConversionTo convert from one unit to another, you can use the operator In or the function Convert(x, unit). This way you can change the unit from meters to inches, or from Farenheit to Celsius.
To remove a unit from a value, you can also use the function Convert and just don't specify the unit.
' Get the answer in a specific unit 15 inch In m Ans = 0.381 m Convert(inch, cm) Ans = 2.54 cm 8 m/s In km/h Ans = 28.8 km/h 34.5 °C In °F Ans = 94.1 °F
The differences between In and Convert are:
' Remove unit a = 3.5 m²; Convert(a) Ans = 3.5
'Examples of using units 2.3 m + 55 cm Ans = 2.85 m 3 m/s + 18 km/h Ans = 8 m/s 2.5m * 3m Ans = 7.5 m² ' You can use suffixes as exponent, such as m3 for cubic meter 4.5 m3 In litre Ans = 4500 litre ' Be aware of the precedence of implicit multiplication with units ' The following expression does not give what you probably intended: 1/2 m Ans = 0.5/m ' Therefore use parentheses: (1/2) m Ans = 0.5 m ' Calculate the distance that you can travel in ' 15 minutes when you have a speed of 120 km/h speed = 120 km/h; time = 15 minutes; distance = speed * time distance = 30 km ' Calculate the speed that an object has after ' 5 seconds when you let it fall. ' Note: you can insert a square character (²) by ' pressing Ctrl+2, and a (³) by pressing Ctrl+3 g = 9.81 m/s²; t = 5 s; speed = g * t speed = 49.05 m/s ' Calculate the force acting on a mass mass = 3.5 kg; F = mass * g F = 34.335 N ' Get the answer in a specific unit 15 inch In m Ans = 0.381 m inch In cm Ans = 2.54 cm 8 m/s In km/h Ans = 28.8 km/h ' Or use the function Convert Convert(15 inch, m) Ans = 0.381 m ' You can use Convert also to remove the unit Convert(mass) Ans = 3.5 ' Calculate the volume of a cube w = 3.25 m; d = 4.10 m; h = 2.20 m; volume = w * d * h volume = 29.315 m³ ' Overwriting units ' It can easily happen that you overwrite a unit by defining ' a variable or function. m = 4.6 m = 4.6 ' In the following expression m is not recognized as unit meter ' because it is overwritten by the variable m. 3 m + 5.2 m Error: Unit m is overwritten by an user defined variable Clear(m); ' remove the variable again ' Angles Sin(45°) ^ 2 Ans = 0.5 Convert(90°, Rad) Ans = 1.570796327 Rad ' Temperatures 34.5 °C In °F Ans = 94.1 °F ' Forces 4 N + 5 kg*m/s² Ans = 9 N ' Pressure 5 N/m² + 1.5 Pa + 0.001 Bar Ans = 106.5 Pa ' Electricity 3.2 V / 5 A Ans = 0.64 Ohm (220 V) * (0.18 A) Ans = 39.6 W
See AlsoDefining units, Defining variables, Functionstree, Units Overview, Wikipedia