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degrees per second to rotations per minute conversion

degrees per second to rotations per minute conversion table

degrees per second (deg/s)rotations per minute (rpm)
00
10.1666666666667
20.3333333333333
30.5
40.6666666666667
50.8333333333333
61
71.1666666666667
81.3333333333333
91.5
101.6666666666667
203.3333333333333
305
406.6666666666667
508.3333333333333
6010
7011.666666666667
8013.333333333333
9015
10016.666666666667
1000166.66666666667

How to convert degrees per second to rotations per minute?

To convert degrees per second (°/s) to rotations per minute (RPM), you need to understand the relationship between these units.

1 full rotation equals 360 degrees.

To convert degrees per second to rotations per second (RPS):

  • Divide the degrees per second by 360 (since 360 degrees make one complete rotation).

Then to convert rotations per second (RPS) to rotations per minute (RPM):

  • Multiply the RPS by 60 (since there are 60 seconds in a minute).

Let's go through the steps for 1 degree per second:

  1. Convert 1 degree per second to rotations per second: Rotations per second (RPS)=degrees per second (°/s)360=1360 RPS \text{Rotations per second (RPS)} = \frac{\text{degrees per second (°/s)}}{360} = \frac{1}{360} \text{ RPS}

  2. Convert rotations per second to rotations per minute: Rotations per minute (RPM)=RPS×60=(1360×60) RPM \text{Rotations per minute (RPM)} = \text{RPS} \times 60 = \left( \frac{1}{360} \times 60 \right) \text{ RPM}

  3. Simplify the multiplication: RPM=60360=16 RPM≈0.1667 RPM \text{RPM} = \frac{60}{360} = \frac{1}{6} \text{ RPM} \approx 0.1667 \text{ RPM}

So, 1 degree per second is approximately 0.1667 RPM.

Real-World Examples:

  1. Hand of an Analog Clock:

    • Second Hand: The second hand of a clock makes 1 rotation per minute, which is 360 degrees per 60 seconds, or 6 degrees per second. 6 °/s→6360 RPS=160 RPS×60=1 RPM 6 \text{ °/s} \rightarrow \frac{6}{360} \text{ RPS} = \frac{1}{60} \text{ RPS} \times 60 = 1 \text{ RPM}

    • Minute Hand: The minute hand of a clock makes 1 rotation per hour, which is 360 degrees per 3600 seconds (60 minutes * 60 seconds), or 0.1 degrees per second. 0.1 °/s→0.1360 RPS×60≈0.01667 RPM 0.1 \text{ °/s} \rightarrow \frac{0.1}{360} \text{ RPS} \times 60 \thickapprox 0.01667 \text{ RPM}

  2. Earth's Rotation: The Earth rotates 360 degrees in about 24 hours (86400 seconds). 36086400 °/s≈0.004167 °/s \frac{360}{86400} \text{ °/s} \approx 0.004167 \text{ °/s} Converting to RPM: RPS=0.004167360≈1.15740741×10−5 RPS×60≈6.94444444×10−4 RPM \text{RPS} = \frac{0.004167}{360} \approx 1.15740741 \times 10^{-5} \text{ RPS} \times 60 \approx 6.94444444 \times 10^{-4} \text{ RPM}

  3. Gym Treadmill Motor: Some treadmill motors might rotate at about 180 degrees per second. 180 °/s→180360 RPS=0.5 RPS×60=30 RPM 180 \text{ °/s} \rightarrow \frac{180}{360} \text{ RPS} = 0.5 \text{ RPS} \times 60 = 30 \text{ RPM}

These examples illustrate how different rotational speeds can be found in various real-world applications, from the second hand of a clock to the rotation of the Earth.

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 rotations per minute 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 rotations per minute?

The rotations per minute or rotational speed is a measurement used for measuring number of revolutions or cycles a object rotate around an axis in a unit of time. This is also know as rpm (revolution per minute) or cps (cycles per minute). This is the standard SI unit for measuring angular velocity. Unit of rotations per second is HzHz.

1Hz=2πω=2π∗rads=360degs1 Hz = 2\pi\omega = 2\pi*\frac{rad}{s} = 360 \frac{deg}{s}

Wikipedia page for explanation on rotational speed

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