Rad/s to Hz Calculator
Rad/s to Hz Calculator
Rad/s to Hz Calculator
A Rad/s to Hz Calculator is a tool used to convert angular velocity from radians per second (rad/s) to hertz (Hz). It provides a quick and convenient way to perform the conversion between these two units of measurement.
Try our Equilibrium Constant Expression.
Formula for Conversion:
The formula used to convert radians per second (rad/s) to hertz (Hz) is as follows:
Frequency (Hz) = Angular Velocity (rad/s) / (2 * π)
Where:
Frequency (Hz)represents the frequency in hertz.Angular Velocity (rad/s)is the angular velocity in radians per second.π(pi) is a mathematical constant approximately equal to 3.14159.
To convert rad/s to Hz, you simply divide the angular velocity by 2π, which represents the number of radians in one full revolution.
Example:
Let’s consider an angular velocity of 10 rad/s. Using the formula, we can calculate the equivalent frequency in hertz:
Frequency (Hz) = 10 rad/s / (2 * 3.14159)
= 1.5915 Hz (approximately)
Therefore, an angular velocity of 10 rad/s is equivalent to approximately 1.5915 Hz.
FAQs:
- What is the difference between radians per second (rad/s) and hertz (Hz)? Radians per second (rad/s) is a unit used to measure angular velocity, representing the rate at which an object rotates or moves along a circular path. Hertz (Hz), on the other hand, is a unit of frequency, indicating the number of cycles or oscillations per second. The conversion between rad/s and Hz allows you to relate angular velocity to the frequency of the corresponding rotational or oscillatory motion.
- Why do we divide by 2π in the conversion formula? Dividing by 2π in the conversion formula is necessary because 2π represents one complete revolution or cycle in radians. It accounts for the fact that a full rotation corresponds to an angle of 2π radians. By dividing by 2π, we obtain the number of cycles or oscillations per second, which is the frequency in hertz.
- Can I use this calculator for other angular velocity units? Yes, the Rad/s to Hz Calculator is applicable to any angular velocity unit given in radians per second. Whether your angular velocity is in radians per second, milliradians per second, or any other radian-based unit, you can use the calculator by directly entering the value in rad/s and obtaining the corresponding frequency in hertz.
