RAD TO RPM HOW TO

The disc's rotational speed varies from 25.5 Hz (1530 rpm) when reading at the innermost edge, to 10.5 Hz (630 rpm) at the outer edge. DVD players also usually read discs at a constant linear rate.Audio CD players read their discs at a precise, constant rate (4.3218 Mbit/s of raw physical data for 1.4112 Mbit/s (176.4 kB/s) of usable audio data) and thus must vary the disc's rotational speed from 8 Hz (480 rpm) when reading at the innermost edge, to 3.5 Hz (210 rpm) at the outer edge.The second hand of a conventional analog clock rotates at 1 rpm.Modern air turbine dental drills can rotate at up to 800,000 rpm (13.3 kHz).Phonograph (gramophone) records, for example, typically rotate steadily at 16 + 2⁄ 3, 33 + 1⁄ 3, 45 or 78 rpm (0.28, 0.55, 0.75, or 1.3 Hz respectively). On many kinds of disc recording media, the rotational speed of the medium under the read head is a standard given in rpm.If it instead is considered a unit of angular velocity and the word 'revolution' is considered to mean 2 π radians, then 1 rpm = 2 π / 60 rad/s. If the non-SI unit rpm is considered a unit of frequency, then 1 rpm = 1 / 60 Hz. Thus a disc rotating at 60 rpm is said to be rotating at either 2 π rad/s or 1 Hz, where the former measures the angular velocity and the latter reflects the number of revolutions per second. Of course, if you have any questions about the conversion, the formula, an exercise you have or how we have calculated the conversion factor, leave us a comment and we will help you clear up your doubts as soon as possible.1 rad/s = 1 2 π Hz = 60 2 π rpm 2 π rad/s = 1 Hz = 60 rpm 2 π 60 rad/s = 1 60 Hz = 1 rpm If you will only need to move from RPM to rad/s or if you want to check if the exercise you have done is well solved, you can use our online calculator to make the conversion immediately and without errors. Por ejemplo, si queremos saber cuántos radianes por segundo son 5 rpm, la fórmula para Excel quedará así:įor the inverse conversion, that is, to convert from radians per second to RPM, the expression to use in Excel is this:Īgain, we only have to change the value of C3 to the one we want to convert.

Sólo necesitas cambiar el valor de 'C3' por la cantidad de rpm que quieras convertir a rad/s. RPM to rad/s in Excelįor the conversion of revolutions per minute to radians per second we will use the following expression: To do this we will simply transfer the formulas we have seen in the previous two sections to the program's language. If you have Excel installed on your computer, you can convert the Microsoft spreadsheet program into a converter of revolutions per minute to radians per second and vice versa.

RAD TO RPM HOW TO

How to convert RPM to rad/s and vice versa in Excel N = 60/2π x 50 rad/s = 9.549296 x 50 rad/s = 477.46 RPMĪs you can see, the procedure is quite simple to solve.

Thanks to the above formula we can easily see that 1 radian per second is equivalent to 9.549296 revolutions per minute.įor the avoidance of doubt, let's look at an example in which we will calculate how many RPM there are in an angular velocity of 50 rad/s: In that case, we would be left with the following: If you want the above formula more simplified by means of a conversion factor, we can solve the 60/2π and substitute. In the above formula you only have to substitute in w the value of the angular velocity in radians per second and you will get the result in revolutions per minute. We already know how from degrees to radians but here we will learn to convert rad/s to RPM with the following formula: By doing so, we are left with:įor example, we will calculate how much is 3000 rpm at rad/s as a practical example: The above formula can be simplified a little more if we solve the 2π/60 operation.

N = the number of revolutions per minute you want to convert to radians per second.

The formula for converting RPM to rad/s is as follows: Before learning how to change from revolutions per minute to radians per second and vice versa, let's see the relationship between the two units of angular velocity.įrom the above equivalencies, we can easily deduce the formula to be used to convert from RPM to rad/s or the other way around.

Rad to rpm