20 Hz converts to 1200 RPM
Converting 20 Hz to RPM results in 1200 RPM. This means that a frequency of 20 cycles per second equals 1200 rotations per minute.
To understand this, note that Hertz (Hz) measures how many cycles occur each second, while RPM (revolutions per minute) counts how many full rotations happen in a minute. Since there are 60 seconds in a minute, multiplying Hz by 60 gives RPM.
Conversion Formula
The formula to convert Hz to RPM is: RPM = Hz x 60. This works because 1 Hz equals 1 cycle per second, and there are 60 seconds in a minute, so each cycle per second becomes 60 rotations per minute. For example, for 20 Hz:
- Multiply 20 by 60.
- 20 x 60 = 1200.
- Thus, 20 Hz equals 1200 RPM.
Conversion Tool
Result in rpm:
Conversion Example
- Convert 15 Hz to RPM:
- Multiply 15 by 60.
- 15 x 60 = 900.
- So, 15 Hz equals 900 RPM.
- Convert 5 Hz to RPM:
- Multiply 5 by 60.
- 5 x 60 = 300.
- Therefore, 5 Hz equals 300 RPM.
- Convert 50 Hz to RPM:
- Multiply 50 by 60.
- 50 x 60 = 3000.
- Hence, 50 Hz equals 3000 RPM.
- Convert 0.5 Hz to RPM:
- Multiply 0.5 by 60.
- 0.5 x 60 = 30.
- Thus, 0.5 Hz equals 30 RPM.
Conversion Chart
| Hz | RPM |
|---|---|
| -5.0 | -300.0 |
| -4.0 | -240.0 |
| -3.0 | -180.0 |
| -2.0 | -120.0 |
| -1.0 | -60.0 |
| 0.0 | 0.0 |
| 1.0 | 60.0 |
| 5.0 | 300.0 |
| 10.0 | 600.0 |
| 15.0 | 900.0 |
| 20.0 | 1200.0 |
| 25.0 | 1500.0 |
| 30.0 | 1800.0 |
| 35.0 | 2100.0 |
| 40.0 | 2400.0 |
| 45.0 | 2700.0 |
This chart helps you quickly find the RPM for any Hz value between -5 and 45. Just look across the row for your Hz and read the corresponding RPM.
Related Conversion Questions
- How many RPM correspond to 20 Hz in a motor?
- What is the RPM if the frequency is 20 Hz?
- How do I convert 20 Hz to rotations per minute?
- Is 1200 RPM the correct conversion for 20 Hz?
- What is the formula to turn 20 Hz into RPM?
- Can I convert 20 Hz to RPM manually or do I need a calculator?
- What happens if the frequency is negative, like -20 Hz?
Conversion Definitions
Hz
Hz, or Hertz, measures how many complete cycle events occur in one second. It is a unit of frequency, used in fields like physics and engineering to describe oscillations, vibrations, and wave phenomena.
RPM
RPM, or revolutions per minute, counts how many full turns or rotations happen in a minute, primarily used in mechanical systems like engines or turbines to indicate rotational speed.
Conversion FAQs
Why does multiplying by 60 convert Hz to RPM?
This is because there are 60 seconds in a minute, so each cycle per second (Hz) becomes 60 cycles per minute, which equates to RPM. Multiplying Hz by 60 directly gives the number of rotations in a minute.
Can the conversion be different for other types of rotations or oscillations?
Yes, but only if the system involves different definitions of cycles or rotations, such as fractional rotations or specific mechanical configurations. The basic formula, however, remains RPM = Hz x 60.
How accurate is this conversion for real-world machinery?
The conversion assumes a one-to-one correspondence between cycles and rotations, which holds true for many mechanical systems. However, some systems may involve gear ratios or other factors that modify this relationship.
What units are used in the conversion process?
The conversion directly relates Hertz (cycles per second) to RPM (rotations per minute). The key is the factor of 60, bridging seconds to minutes, without needing other units.
What should I do if I need to convert RPM back to Hz?
You divide RPM by 60. For example, 1200 RPM divided by 60 equals 20 Hz, reversing the process used in this calculation.