Turn is the unit of measure of flat corners which is not entering the international SI system. For one turn it is considered to be such size of a corner at which any asymmetrical body, rotating in one direction, adopts the initial provision again. Most often this unit is used for measurement of speed of rotation or angular speed. In the SI system it is recommended to apply a radian to similar measurements.
Instruction
1. Define a ratio between one turn and one radian. It is the simplest to make it through a formula of measurement of length of a circle. At one whole revolution of some conditional body each its point describes a full circle, and length of a circle can be expressed as the doubled work of radius on Pi's number. One radian it is considered to be such corner at which the same point will pass the distance equal to radius length. Means, the ratio between one turn and one radian can be expressed as the relation of the doubled work of radius on Pi's number to radius: 2 ∗π ∗ R/R = 2 ∗π. That is one turn contains quantity a radian, is equal to two numbers of Pi.
2. You divide the known size measured in turns on the doubled Pi's number to transfer this value to radians. Depending on necessary accuracy it is necessary to round this coefficient as Pi's number is irrational, that is represents a recurring decimal decimal. Usually there are enough two decimal signs after a comma, in it a case it is necessary to divide into number 6.28.
3. Use online converters of sizes for practical calculations - it is the easiest way in the presence of Internet access. For example, having passed to the http://convertworld.com/ru/chastota/Оборотов+в+минуту.html page enter into the field under the inscription "I Want to Translate" the size known to you in turns and receive the answer at once, without sending data for the server. Nearly two dozen possible units of the measurements broken into three groups - units of measurements of frequency, speed of rotation and angular speed are specified in the table placed below. Radians are carried to the third group. By default here the accuracy equal to two signs after a comma is chosen. In need of it it is possible to change, having chosen the necessary value in a drop-down list - values in the range from two to ten categories are available.