Explain the formula, rpm unit conversion

In summary, the equation for revolutions per minute (RPM) multiplied by pi/30 results in the angular velocity in radians per second. This is necessary when using the unit in formulas with radians and seconds, such as calculating the kinetic energy of a rotating object. Without this conversion, the unit of measure for angular velocity would only be in RPM.
  • #1
avito009
184
4
Revolutions(RPM) * Pi/30 = Angular velocity

What is the purpose of pi/30 in the equation. Why can we not just use rpm as unit of measure of angular velocity?
 
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  • #3
avito009 said:
Why can we not just use rpm as unit of measure of angular velocity?
In principle you can, but if you want to use it in formulas together with radians and seconds (e. g. to calculate the kinetic energy of a rotation object) you need a unit conversion.

That would be a better way to write your equation:
Revolutions(RPM) * Pi/30 = Angular velocity (rad/s)
 

1. What is the formula for converting RPM to units?

The formula for converting RPM (revolutions per minute) to units depends on the type of unit being used. However, the general formula is: Units = RPM * (60/360) * (2πr), where r is the radius of the rotating object in meters.

2. How do I convert from RPM to meters per second?

To convert from RPM to meters per second, first convert RPM to radians per second by multiplying by 2π/60. Then, multiply by the radius of the rotating object to get the linear velocity in meters per second.

3. Can you explain the relationship between RPM and angular velocity?

RPM and angular velocity are directly proportional. This means that as the RPM increases, the angular velocity also increases. This relationship can be expressed as: Angular velocity (radians per second) = RPM * (2π/60).

4. How do I convert from RPM to revolutions per second?

To convert from RPM to revolutions per second, simply divide the RPM by 60. This will give you the number of revolutions per second.

5. What are some common units used for measuring RPM?

The most common units used for measuring RPM are revolutions per minute (RPM), revolutions per second (RPS), radians per second (rad/s), and degrees per second (deg/s). Other less common units include revolutions per hour, revolutions per day, and revolutions per week.

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