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radians per second to terahertz conversion

radians per second to terahertz conversion table

radians per second (rad/s)terahertz (THz)
00
11.591549430919e-13
23.1830988618379e-13
34.7746482927569e-13
46.3661977236758e-13
57.9577471545948e-13
69.5492965855137e-13
71.1140846016433e-12
81.2732395447352e-12
91.4323944878271e-12
101.591549430919e-12
203.1830988618379e-12
304.7746482927569e-12
406.3661977236758e-12
507.9577471545948e-12
609.5492965855137e-12
701.1140846016433e-11
801.2732395447352e-11
901.4323944878271e-11
1001.591549430919e-11
10001.591549430919e-10

How to convert radians per second to terahertz?

To convert radians per second (rad/s) to terahertz (THz), we first need to understand the relationship between these units in the context of angular frequency and regular frequency.

Conversion Process

  1. Understand that radians per second (rad/s) is a measure of angular frequency.

    • ω\omega (angular frequency in rad/s) is related to the regular frequency ff (in Hz) by the equation: ω=2πf\omega = 2 \pi f
    • Here, ω\omega is in rad/s and ff is in Hz (Hertz).

  2. Solve for frequency ff in Hz:

    • Rearrange the equation to solve for ff: f=ω2πf = \frac{\omega}{2 \pi}

  3. Substitute ω=1\omega = 1 rad/s:

    • f=1 rad/s2πf = \frac{1 \, \text{rad/s}}{2 \pi}
    • f≈16.2832 Hzf \approx \frac{1}{6.2832} \, \text{Hz}
    • f≈0.1592 Hzf \approx 0.1592 \, \text{Hz}

  4. Convert Hz to THz:

    • 1 THz = 101210^{12} Hz
    • Therefore, 0.1592 Hz=0.1592×10−12 THz0.1592 \, \text{Hz} = 0.1592 \times 10^{-12} \, \text{THz}
    • 0.1592 Hz≈159.2×10−15 THz0.1592 \, \text{Hz} \approx 159.2 \times 10^{-15} \, \text{THz}
    • 0.1592 Hz≈159.2 femtoTHz0.1592 \, \text{Hz} \approx 159.2 \, \text{femtoTHz}

Real-world Examples of Radians per Second

  1. Human Heartbeat:

    • A typical human heartbeat frequency is about 1.2 Hz.
    • Converting to radians per second: ω=2π×1.2 Hz\omega = 2 \pi \times 1.2 \, \text{Hz} ω≈7.54 rad/s\omega \approx 7.54 \, \text{rad/s}

  2. Earth's Rotation:

    • Earth completes one rotation every 24 hours.
    • Frequency in Hz: f=1 rotation24×3600 s≈1.16×10−5 Hzf = \frac{1 \, \text{rotation}}{24 \times 3600 \, \text{s}} \approx 1.16 \times 10^{-5} \, \text{Hz}
    • Converting to rad/s: ω=2π×1.16×10−5\omega = 2 \pi \times 1.16 \times 10^{-5} ω≈7.27×10−5 rad/s\omega \approx 7.27 \times 10^{-5} \, \text{rad/s}

  3. Microwave Oven:

    • Operates at around 2.45 GHz (GigaHertz).
    • Frequency in Hz: f=2.45×109 Hzf = 2.45 \times 10^9 \, \text{Hz}
    • Converting to rad/s: ω=2π×2.45×109\omega = 2 \pi \times 2.45 \times 10^9 ω≈1.54×1010 rad/s\omega \approx 1.54 \times 10^{10} \, \text{rad/s}

  4. Compact Disc (CD) Player:

    • CDs spin at 200 to 500 RPM (revolutions per minute).
    • At 500 RPM: ω=500 rev/min×2π rad60 s\omega = \frac{500 \, \text{rev/min} \times 2 \pi \, \text{rad}}{60 \, \text{s}} ω≈52.36 rad/s\omega \approx 52.36 \, \text{rad/s}

These examples show how different phenomena convert into radians per second, highlighting the broad range over which this unit of measure can apply.

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 terahertz to other unit conversions.

What is radians per second?

The radians per second is a measurement used for defining angular velocity or rotational speed. This is the standard SI unit for measuring angular velocity. Unit of radians per second is rad/srad/s or rad∗s−1rad*s^{-1}.

1 rad∗s−1=1ω=3602πdeg∗s−1=12πHz=0.159155Hz1\ rad*s^{-1} = 1\omega = \frac{360}{2\pi} deg*s^{-1} = \frac{1}{2\pi} Hz = 0.159155 Hz

Wikipedia page for explanation on Radian per second

What is terahertz?

A fascinating topic in the realm of physics and technology!

Terahertz (THz) refers to a band of electromagnetic radiation with frequencies between 100 GHz and 10 THz, which lies between the microwave and infrared parts of the electromagnetic spectrum. In other words, it's a region of the electromagnetic spectrum that's intermediate between microwaves and visible light.

To give you an idea of the scale, here are some corresponding frequencies:

  • Microwaves: 100 MHz to 10 GHz
  • Terahertz: 100 GHz to 10 THz (1 THz = 1 trillion Hz)
  • Infrared: 400 THz to 4 PHz (1 PHz = 1 quadrillion Hz)

Terahertz radiation has several interesting properties:

  1. Short wavelengths: The wavelength of terahertz radiation is comparable to the size of tiny molecules, making it a useful tool for studying molecular interactions.
  2. High resolution: Terahertz spectroscopy can provide high-resolution information about the structure and dynamics of molecules, which is essential in various fields like chemistry, biology, and materials science.
  3. Non-invasive imaging: Terahertz radiation can be used to create non-invasive images of objects or biological tissues, with potential applications in security screening, medical diagnostics, and materials inspection.

Terahertz technology has been gaining attention in recent years due to its potential applications in:

  1. Imaging and sensing: Terahertz imaging can detect hidden objects, monitor biological processes, or inspect materials without causing damage.
  2. Communication systems: Terahertz frequencies are being explored for high-speed data transmission and wireless communication networks.
  3. Security screening: Terahertz radiation can be used to detect explosives, narcotics, or other prohibited substances without the need for physical contact.
  4. Medical research: Terahertz spectroscopy is being used in medical research to study biological tissues and molecules.

The development of terahertz technology has been driven by advances in materials science, electronics, and computational methods. Researchers are now working on improving the efficiency and scalability of terahertz devices, which will enable their widespread adoption in various fields.

Complete radians per second conversion table

Enter # of radians per second
Convert 1 rad/s to other unitsResult
radians per second to millihertz (rad/s to mHz)159.1549430919
radians per second to hertz (rad/s to Hz)0.1591549430919
radians per second to kilohertz (rad/s to kHz)0.0001591549430919
radians per second to megahertz (rad/s to MHz)1.591549430919e-7
radians per second to gigahertz (rad/s to GHz)1.591549430919e-10
radians per second to terahertz (rad/s to THz)1.591549430919e-13
radians per second to rotations per minute (rad/s to rpm)9.5492965855137
radians per second to degrees per second (rad/s to deg/s)57.295779513082

Frequency conversions