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millihertz (mHz) to degrees per second (deg/s) conversion

millihertz to degrees per second conversion table

millihertz (mHz)degrees per second (deg/s)
00
10.36
20.72
31.08
41.44
51.8
62.16
72.52
82.88
93.24
103.6
207.2
3010.8
4014.4
5018
6021.6
7025.2
8028.8
9032.4
10036
1000360

How to convert millihertz to degrees per second?

Converting Millihertz to Degrees per Second

Converting millihertz (mHz) to degrees per second (°/s) involves understanding the relationship between frequency and angular velocity. Frequency, measured in hertz (Hz), represents the number of cycles per second, while angular velocity, measured in degrees per second, represents the rate of change of an angle. This conversion is crucial in fields like electrical engineering and signal processing. Since 1 Hz is 1 cycle per second, and 1 cycle is 360∘360^\circ or 2π2\pi radians, we can establish the conversion factors.

Conversion Formulas

Millihertz to Degrees per Second

To convert millihertz to degrees per second, use the following formula:

Degrees per second=Millihertz×0.36\text{Degrees per second} = \text{Millihertz} \times 0.36

This is because 1 millihertz equals 0.001 Hz, and 1 Hz equals 360 degrees per second.

1 mHz=0.001 Hz1 \text{ mHz} = 0.001 \text{ Hz}

1 Hz=360degreessecond1 \text{ Hz} = 360 \frac{\text{degrees}}{\text{second}}

So, 1 mHz is:

1 mHz=0.001×360degreessecond=0.36degreessecond1 \text{ mHz} = 0.001 \times 360 \frac{\text{degrees}}{\text{second}} = 0.36 \frac{\text{degrees}}{\text{second}}

Therefore:

1 mHz=0.36degreessecond1 \text{ mHz} = 0.36 \frac{\text{degrees}}{\text{second}}

Degrees per Second to Millihertz

To convert degrees per second to millihertz, use the reciprocal of the above conversion factor:

Millihertz=Degrees per second0.36\text{Millihertz} = \frac{\text{Degrees per second}}{0.36}

Or:

Millihertz=Degrees per second×10.36≈Degrees per second×2.7778\text{Millihertz} = \text{Degrees per second} \times \frac{1}{0.36} \approx \text{Degrees per second} \times 2.7778

Step-by-Step Instructions

Converting 1 mHz to Degrees per Second

  1. Start with the value in millihertz:
    • 1 mHz1 \text{ mHz}
  2. Multiply by the conversion factor (0.36):
    • 1 mHz×0.36=0.36degreessecond1 \text{ mHz} \times 0.36 = 0.36 \frac{\text{degrees}}{\text{second}}

Converting 1 Degree per Second to Millihertz

  1. Start with the value in degrees per second:
    • 1degreesecond1 \frac{\text{degree}}{\text{second}}
  2. Divide by the conversion factor (0.36) or multiply by its reciprocal:
    • 1degreesecond÷0.36≈2.7778 mHz1 \frac{\text{degree}}{\text{second}} \div 0.36 \approx 2.7778 \text{ mHz}

Historical Context and People

The concept of frequency is closely tied to the work of Heinrich Hertz, a German physicist who proved the existence of electromagnetic waves in 1887. The unit of frequency, the hertz (Hz), is named in his honor. The relationship between frequency and angular velocity is a fundamental concept in physics and engineering.

Real-World Examples

  1. Rotating Machinery: In mechanical engineering, the rotation speed of motors or turbines might be measured in millihertz for very slow rotations or in degrees per second for more intuitive understanding in control systems.
  2. Geophysical Studies: In seismology, very low-frequency seismic waves can be described in millihertz to analyze earth movements, while the rate of angular change in these movements might be represented in degrees per second.
  3. Clock Signals: The frequency of clock signals in microcontrollers can be expressed in millihertz for very low-power applications, while the phase shift or angular change rate might be considered in degrees per second.
  4. Astronomy: The apparent movement of stars or other celestial objects can be described in terms of angular velocity, often measured in degrees per second for very slow movements and converted to millihertz for frequency analysis.

Conclusion

Converting between millihertz and degrees per second is a linear conversion, involving a simple multiplication or division by a constant factor. This conversion is widely applicable in various scientific and engineering fields.

See below section for step by step unit conversion with formulas and explanations. Please refer to the table below for a list of all the degrees per second to other unit conversions.

What is Millihertz?

Millihertz (mHz) is a unit used to measure very low frequencies. "Milli" is a prefix that means one-thousandth (10−310^{-3}). Therefore:

1 mHz=0.001 Hz=11000 Hz1 \, \text{mHz} = 0.001 \, \text{Hz} = \frac{1}{1000} \, \text{Hz}

This unit is useful for describing events or oscillations that occur very slowly, taking seconds, minutes, or even hours to complete a single cycle.

Real-World Applications of Millihertz

Millihertz measurements are encountered in various scientific and technical fields:

Geology

In geology, the movement of tectonic plates can be measured in terms of millihertz. The frequency of these movements is extremely slow but consistent over long periods.

Climate Science

Climate patterns and variations, such as El Niño or changes in ocean currents, can be analyzed using millihertz frequencies to describe long-term cycles.

Biology

Certain biological rhythms, such as circadian rhythms, involve processes that occur over hours or days, and their frequencies can be expressed in millihertz.

Engineering and Signal Processing

In signal processing, very low-frequency signals might be relevant in control systems or when analyzing long-term trends in data. An example might be the study of building temperature fluctuations over time to optimize energy usage.

Economics

The frequency of business cycles and economic indicators measured for very long periods of time could be quantified using millihertz.

Connection to Notable Figures or Laws

While there isn't a specific law or person exclusively associated with millihertz, it is related to Heinrich Hertz, after whom the unit of frequency (Hertz) is named. Heinrich Hertz was a German physicist who proved the existence of electromagnetic waves, a discovery that paved the way for wireless communication.

Understanding and using millihertz allows scientists and engineers to quantify and analyze very slow processes and phenomena, providing insights into long-term trends and behaviors across diverse fields.

What is degrees per second?

Degrees per second (∘/s^{\circ}/s) is a unit of angular speed, representing the rate of change of an angle over time. It signifies how many degrees an object rotates or turns in one second. Understanding this unit is crucial in various fields, from physics and engineering to animation and video games.

Definition and Formation

Degrees per second measures angular velocity, which describes how quickly an object rotates or revolves relative to a specific point or axis. Unlike linear speed (e.g., meters per second), angular speed focuses on rotational motion.

It is formed by dividing the angle in degrees by the time in seconds:

Angular Speed=Angle (in degrees)Time (in seconds)\text{Angular Speed} = \frac{\text{Angle (in degrees)}}{\text{Time (in seconds)}}

For example, if a spinning top rotates 360 degrees in one second, its angular speed is 360 ∘/s^{\circ}/s.

Connection to Hertz and Revolutions Per Minute (RPM)

Degrees per second is related to other units of angular speed, such as Hertz (Hz) and Revolutions Per Minute (RPM).

  • Hertz (Hz): Represents the number of cycles per second. One complete cycle is equal to 360 degrees. Therefore, 1 Hz = 360 ∘/s^{\circ}/s.
  • Revolutions Per Minute (RPM): Represents the number of complete rotations per minute. Since one revolution is 360 degrees and there are 60 seconds in a minute, you can convert RPM to degrees per second using the following formula:

Degrees per second=RPM×36060=RPM×6\text{Degrees per second} = \frac{\text{RPM} \times 360}{60} = \text{RPM} \times 6

Relevant Laws and Figures

While there isn't a specific "law" directly associated with degrees per second, it's a fundamental unit in rotational kinematics and dynamics. These fields are governed by Newton's laws of motion adapted for rotational systems.

  • Isaac Newton: His laws of motion form the basis for understanding how forces affect the angular motion of objects. For instance, the rotational equivalent of Newton's second law states that the net torque acting on an object is equal to the object's moment of inertia multiplied by its angular acceleration.

Real-World Examples

  • Hard disk drives: A hard disk drive can spin at 7200 RPM, converting this to degrees per second: 7200×6=432007200 \times 6 = 43200 ∘/s^{\circ}/s
  • Electric motors: The shaft of a small electric motor might spin at 3000 RPM, converting this to degrees per second: 3000×6=180003000 \times 6 = 18000 ∘/s^{\circ}/s
  • DVD Player: DVD players rotate their disks at a rate that varies depending on which track is being read, but can easily exceed 1500 RPM.

Applications

  • Robotics: Controlling the precise movement of robotic arms and joints relies on accurate angular speed measurements.
  • Video Games: Degrees per second is used to control the rotation speed of objects and characters.
  • Navigation Systems: Gyroscopes in navigation systems use angular speed to determine orientation and direction.
  • Astronomy: Astronomers measure the angular speed of celestial objects, such as the rotation of planets or the movement of stars across the sky.

Complete millihertz conversion table

Enter # of millihertz
Convert 1 mHz to other unitsResult
millihertz to hertz (mHz to Hz)0.001
millihertz to kilohertz (mHz to kHz)0.000001
millihertz to megahertz (mHz to MHz)1e-9
millihertz to gigahertz (mHz to GHz)1e-12
millihertz to terahertz (mHz to THz)1e-15
millihertz to rotations per minute (mHz to rpm)0.06
millihertz to degrees per second (mHz to deg/s)0.36
millihertz to radians per second (mHz to rad/s)0.00628318530718

Frequency conversions