Answer: Angular speed is the rate at which an object rotates or revolves around a fixed axis. It is usually measured in radians per second (rad/s). RPM, on the other hand, stands for revolutions per minute, which is a unit of rotational speed commonly used in everyday life. To convert RPM to angular speed, you can use the following formula:
Angular speed = (2π x RPM) / 60
where 2π is the constant value for the number of radians in one full revolution, and 60 is the number of seconds in one minute. The formula essentially converts RPM into radians per second by multiplying it by the constant factor (2π/60).
To use this formula, simply take the value of RPM and substitute it into the formula, then solve for angular speed. For example, if you have an object rotating at 1200 RPM, the angular speed can be calculated as follows:
Angular speed = (2π x 1200) / 60
= 120π rad/s (rounded to two decimal places)
Therefore, the angular speed of the object is 120π radians per second, which is approximately 376.99 rad/s when rounded to two decimal places.
Explanation: