millihertz to degrees per second conversion

How to convert millihertz to degrees per second?

Frequency is typically measured in hertz (Hz), where one hertz is equivalent to one cycle per second. A millihertz (mHz) is one-thousandth of a hertz, or 0.001 Hz.

To convert frequency in millihertz to angular velocity in degrees per second, you can follow these steps:

1. Convert millihertz to hertz: $1 \text{ mHz} = 0.001 \text{ Hz}$

2. Convert hertz to cycles per second: Since 1 Hz is 1 cycle per second, 0.001 Hz is 0.001 cycles per second.

3. Convert cycles to degrees: One complete cycle is equivalent to 360 degrees. Thus, we multiply the number of cycles per second by 360 to obtain degrees per second. $0.001 \text{ cycles/second} \times 360 \text{ degrees/cycle} = 0.36 \text{ degrees/second}$

So, 1 millihertz is equivalent to 0.36 degrees per second.

Real-World Examples of Millihertz

1. Earth's Rotation: The Earth makes one full rotation approximately every 24 hours. Converting this to hertz: $\frac{1 \text{ rotation}}{24 \text{ hours}} \times \frac{1 \text{ hour}}{3600 \text{ seconds}} = 1.1574 \times 10^{-5} \text{ Hz}$ In millihertz, this is: $1.1574 \times 10^{-5} \text{ Hz} = 0.011574 \text{ mHz}$

2. Tidal Frequency: Tides often have a semi-diurnal frequency, occurring twice a day. In hertz: $\frac{2 \text{ cycles}}{24 \text{ hours}} \times \frac{1 \text{ hour}}{3600 \text{ seconds}} = 2.3148 \times 10^{-5} \text{ Hz}$ In millihertz: $2.3148 \times 10^{-5} \text{ Hz} = 0.023148 \text{ mHz}$

3. Heart Rate of a Blue Whale: The resting heart rate of a blue whale is about 2 beats per minute. Converting this to hertz: $\frac{2 \text{ beats}}{60 \text{ seconds}} = 0.0333 \text{ Hz}$ In millihertz: $0.0333 \text{ Hz} = 33.3 \text{ mHz}$

These examples show how millihertz can describe very slow or infrequent events, from natural continuous processes like Earth's rotation and ocean tides to biological rhythms like the heart rate of large animals.