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degrees per second to gigahertz conversion

degrees per second to gigahertz conversion table

degrees per second (deg/s)gigahertz (GHz)
00
12.7777777777778e-12
25.5555555555556e-12
38.3333333333333e-12
41.1111111111111e-11
51.3888888888889e-11
61.6666666666667e-11
71.9444444444444e-11
82.2222222222222e-11
92.5e-11
102.7777777777778e-11
205.5555555555556e-11
308.3333333333333e-11
401.1111111111111e-10
501.3888888888889e-10
601.6666666666667e-10
701.9444444444444e-10
802.2222222222222e-10
902.5e-10
1002.7777777777778e-10
10002.7777777777778e-9

How to convert degrees per second to gigahertz?

To convert degrees per second to gigahertz (GHz), it's necessary to understand both units of measure:

  • Degrees per second (°/s) describes angular velocity, indicating how many degrees an object moves through in one second.
  • Gigahertz (GHz) measures frequency, indicating the number of cycles or oscillations per second, where 1 Hz is one cycle per second and 1 GHz is 1 billion cycles per second.

A direct conversion between these units isn't straightforward because they measure different things: one measures rotation and the other measures cycles. However, we can relate them if we consider one complete cycle or oscillation as 360 degrees.

Conversion Process:

  1. Establish the relation between degrees and cycles:

    • One full cycle (oscillation) is 360 degrees.

  2. Convert degrees per second to cycles per second (Hertz):

    • Given 1 degree per second.
    • To find how many cycles per second (Hz) this represents, divide by 360 degrees: 1 degree/sec360 degrees/cycle=1360 Hz \frac{1 \text{ degree/sec}}{360 \text{ degrees/cycle}} = \frac{1}{360} \text{ Hz}

  3. Convert Hertz to Gigahertz:

    • 1 Hz is 10−910^{-9} GHz.
    • Therefore, 1360 Hz=1360×10−9 GHz≈2.78×10−12 GHz\frac{1}{360} \text{ Hz} = \frac{1}{360} \times 10^{-9} \text{ GHz} \approx 2.78 \times 10^{-12} \text{ GHz}.

Thus, 1 degree per second is approximately 2.78×10−12 GHz2.78 \times 10^{-12} \text{ GHz}.

Real-World Examples:

Here are some real-world scenarios with different quantities of degrees per second:

  1. Earth's Rotation:

    • The Earth rotates 360 degrees in approximately 24 hours.
    • In degrees per second: 360 degrees24×3600 seconds≈0.00417 degrees/second \frac{360 \text{ degrees}}{24 \times 3600 \text{ seconds}} \approx 0.00417 \text{ degrees/second}

  2. Hand Movement of a Clock:

    • The hour hand of a clock moves 360 degrees in 12 hours.
    • In degrees per second: 360 degrees12×3600 seconds≈0.0083 degrees/second \frac{360 \text{ degrees}}{12 \times 3600 \text{ seconds}} \approx 0.0083 \text{ degrees/second}

  3. RPM (Revolutions Per Minute) to Degrees per Second:

    • A typical electric motor might run at 1800 RPM.
    • Convert RPM to degrees per second (1 RPM = 6 degrees per second): 1800 RPM×6degreesRPM=10800 degrees/second 1800 \text{ RPM} \times 6 \frac{\text{degrees}}{\text{RPM}} = 10800 \text{ degrees/second}

Understanding these conversions helps relate different rotational speeds to common everyday contexts, making it easier to grasp the abstract concept of angular velocity.

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 gigahertz to other unit conversions.

What is degrees per second?

The degrees per second is a measurement used for defining angular velocity. This is not the standard unit for measuring angular velocity. It is rad/s which is a SI unit. Unit of degrees per second is deg⁡/s\deg/s or deg⁡∗s−1\deg*s^{-1}.

1 degs=2π∗ω360=2π∗rad∗s−13601\ \frac{deg}{s} = \frac{2\pi*\omega}{360} = \frac{2\pi*rad*s^{-1}}{360}

What is gigahertz?

Gigahertz (GHz) is a unit of measurement for frequency, used to express the number of cycles or oscillations per second in electronic systems.

In essence, it represents one billion (1,000,000,000) cycles or oscillations per second. To break it down further:

  • 1 Hertz (Hz) = 1 cycle per second
  • 1 Kilohertz (kHz) = 1,000 cycles per second
  • 1 Megahertz (MHz) = 1 million cycles per second
  • 1 Gigahertz (GHz) = 1 billion cycles per second

In the context of electronic devices, such as computers, smartphones, and radios, gigahertz refers to the clock speed or operating frequency of a processor or other component. For example:

  • A computer with a CPU running at 2.5 GHz can execute 2.5 billion instructions per second.
  • A radio transmitter that operates on a frequency of 100 MHz would transmit 100 million cycles per second.

In summary, gigahertz is a unit of measurement for frequency, representing one billion cycles or oscillations per second, and is commonly used to express the operating frequencies of electronic devices.

Complete degrees per second conversion table

Enter # of degrees per second
Convert 1 deg/s to other unitsResult
degrees per second to millihertz (deg/s to mHz)2.7777777777778
degrees per second to hertz (deg/s to Hz)0.002777777777778
degrees per second to kilohertz (deg/s to kHz)0.000002777777777778
degrees per second to megahertz (deg/s to MHz)2.7777777777778e-9
degrees per second to gigahertz (deg/s to GHz)2.7777777777778e-12
degrees per second to terahertz (deg/s to THz)2.7777777777778e-15
degrees per second to rotations per minute (deg/s to rpm)0.1666666666667
degrees per second to radians per second (deg/s to rad/s)0.01745329251994

Frequency conversions