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Convert Hertz (rotational) to Degrees per second

Instantly convert Hertz (rotational) (Hz) to Degrees per second (deg/s) with our free online calculator.

Reviewed by Christopher FloiedUpdated

Formula: Hz to deg/smultiply by 360

Reference Table

Hertz (rotational) (Hz)Degrees per second (deg/s)
1360
51800
103600
259000
5018000
10036000

How to Convert Hertz (rotational) to Degrees per second

Formula

To convert Hertz (rotational) (Hz) to Degrees per second (deg/s): multiply by 360

Step-by-Step

  1. Start with your value in Hertz (rotational) (Hz).
  2. Multiply by 360 to perform the conversion.
  3. The result is your value expressed in Degrees per second (deg/s).

Conversion Factor

1 Hz = 360 deg/s

Reverse Factor

1 deg/s = 0.00277778 Hz

Worked Example

Convert 25 Hertz (rotational) to Degrees per second: 25 Hz = 9000 deg/s

About Hertz (rotational) (Hz)

Rotational frequency expressed in cycles per second — dimensionally identical to rev/s (1 Hz = 1 rev/s = 60 RPM = 2π rad/s) but more common in physics, vibration analysis, and rotor-dynamics contexts where the frequency-domain interpretation matters. Used in: rotor-dynamics critical-speed studies per API 684 and ISO 21940 (the first-bending-mode critical speed of a 200 MW steam turbine rotor is typically 25-35 Hz, well separated from the 50/60 Hz grid synchronous speed at 50/60 Hz exactly), NDT (Non-Destructive Testing) vibration surveys per ISO 10816, FFT spectral analysis of rotating-machinery vibration signatures (the 1× = running speed peak, 2× = misalignment, 3-10× = blade-pass or gear-mesh frequencies depending on machine type), and balancing-machine output per ISO 1940 / ISO 21940-11. NOT to be confused with Hz as an electrical / temporal / oscillatory frequency (though they share the same underlying '1/s' dimension and are sometimes deliberately conflated in spectral analysis).

About Degree per second (deg/s)

Angular velocity expressed in degrees rotated per second (1 deg/s = π/180 rad/s ≈ 0.01745 rad/s = 1/6 RPM). Deg/s is the standard reporting unit in aviation and aerospace for rotational rates: aircraft yaw / pitch / roll body-rate gyros per ARINC 429 inertial-reference unit data buses, missile guidance systems (typical airframe-rate limits 100-400 deg/s for fighter aircraft, up to 1,000 deg/s for short-range AAMs), satellite attitude-control system (ACS) reaction-wheel and CMG rates per AIAA standards, and the default unit on consumer-grade IMU (inertial measurement unit) datasheets and drone flight controllers (InvenSense MPU-6050, Bosch BMI160, ST LSM6DSL series). A standard 3-axis MEMS gyroscope chip typically measures up to ±2,000 deg/s full-scale (FSR) with programmable lower-range settings of ±250 / ±500 / ±1,000 deg/s for better noise floor at slower rates.

Quick Facts

  • 1 Hertz (rotational) equals 360 Degrees per second
  • 1 Degree per second equals 0.00277778 Hertz (rotational)
  • Hertz (rotational) is a unit of angular velocity
  • Degree per second is a unit of angular velocity
  • This conversion is commonly used in motor specifications, rotating machinery, and mechanical design
  • The Hertz (rotational) belongs to the metric system

Common Hertz (rotational) to Degree per second Conversions

Hertz (rotational) (Hz)Degrees per second (deg/s)
0.013.6
0.136
0.2590
0.5180
1360
2720
31080
51800
103600
155400
207200
259000
5018000
7527000
10036000
25090000
500180000
1000360000
50001800000
100003600000

Understanding Hertz (rotational)

The Hertz (rotational) (symbol: Hz) is a unit of angular velocity. Rotational frequency expressed in cycles per second — dimensionally identical to rev/s (1 Hz = 1 rev/s = 60 RPM = 2π rad/s) but more common in physics, vibration analysis, and rotor-dynamics contexts where the frequency-domain interpretation matters. Used in: rotor-dynamics critical-speed studies per API 684 and ISO 21940 (the first-bending-mode critical speed of a 200 MW steam turbine rotor is typically 25-35 Hz, well separated from the 50/60 Hz grid synchronous speed at 50/60 Hz exactly), NDT (Non-Destructive Testing) vibration surveys per ISO 10816, FFT spectral analysis of rotating-machinery vibration signatures (the 1× = running speed peak, 2× = misalignment, 3-10× = blade-pass or gear-mesh frequencies depending on machine type), and balancing-machine output per ISO 1940 / ISO 21940-11. NOT to be confused with Hz as an electrical / temporal / oscillatory frequency (though they share the same underlying '1/s' dimension and are sometimes deliberately conflated in spectral analysis).

It belongs to the metric measurement system.

Hertz (rotational) are commonly used in motor specifications, rotating machinery, and mechanical design.

Understanding Degrees per second

The Degree per second (symbol: deg/s) is a unit of angular velocity. Angular velocity expressed in degrees rotated per second (1 deg/s = π/180 rad/s ≈ 0.01745 rad/s = 1/6 RPM). Deg/s is the standard reporting unit in aviation and aerospace for rotational rates: aircraft yaw / pitch / roll body-rate gyros per ARINC 429 inertial-reference unit data buses, missile guidance systems (typical airframe-rate limits 100-400 deg/s for fighter aircraft, up to 1,000 deg/s for short-range AAMs), satellite attitude-control system (ACS) reaction-wheel and CMG rates per AIAA standards, and the default unit on consumer-grade IMU (inertial measurement unit) datasheets and drone flight controllers (InvenSense MPU-6050, Bosch BMI160, ST LSM6DSL series). A standard 3-axis MEMS gyroscope chip typically measures up to ±2,000 deg/s full-scale (FSR) with programmable lower-range settings of ±250 / ±500 / ±1,000 deg/s for better noise floor at slower rates.

Degrees per second are commonly used in motor specifications, rotating machinery, and mechanical design.

Why Convert Hertz (rotational) to Degrees per second?

Converting between Hertz (rotational) and Degrees per second is a frequent requirement for engineers, scientists, and students working with angular velocity values. Different industries and regions favour different unit systems, so having a dependable conversion tool saves time and prevents errors in technical calculations. Whether you are verifying a specification sheet, cross-checking simulation results, or preparing a report for an international audience, accurate angular velocity conversion is essential.

Frequently Asked Questions

How do I convert Hertz (rotational) to Degrees per second?

Rotational frequency expressed in cycles per second — dimensionally identical to rev/s (1 Hz = 1 rev/s = 60 RPM = 2π rad/s) but more common in physics, vibration analysis, and rotor-dynamics contexts where the frequency-... To convert Hertz (rotational) to Degrees per second, multiply by 360. For example, 25 Hz equals 9000 deg/s.

How many Degrees per second are in 1 Hertz (rotational)?

There are 360 Degrees per second in 1 Hertz (rotational).

How many Hertz (rotational) are in 1 Degree per second?

There are 0.00277778 Hertz (rotational) in 1 Degree per second.

What is the formula for Hertz (rotational) to Degree per second conversion?

The formula is: multiply by 360. This means 1 Hz = 360 deg/s.

Is a Hertz (rotational) bigger than a Degree per second?

No. One Hertz (rotational) is smaller than one Degree per second because 1 Hz equals 360 deg/s, which is greater than 1.

When do you need to convert between Hertz (rotational) and Degrees per second?

Angular velocity expressed in degrees rotated per second (1 deg/s = π/180 rad/s ≈ 0. Hertz (rotational) and Degree per second are both angular velocity units, so conversion comes up whenever one source of information uses one unit and another uses the other — a classic cross-reference challenge in engineering, trade, travel, and everyday life.

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