频率转换器

Convert rpm to Hz, Hz to rpm, BPM to Hz, GHz to MHz and hertz to radians per second (ω = 2πf), from Hz to THz.

更新于 已验证的示例:4

输入源单位下的数值,也可以输入带有自身单位的数值
试一试
转换后的数值
Hz
转换后的数值: 50 Hz
有效数字:12;取最近值,等距时远离零
换算
3,000 rpm = 50 Hz
换算系数
0.0166666666667
精确性
精确

3,000 rpm精确等于50 Hz。 一个revolution per minute约等于0.01666667 Hz。

用各个单位表示同一个量

rpm3,000 rpmHz50 Hz
3,000 rpm用各个频率单位表示 行数:8
单位数值定义
hertz (Hz)50基本单位
kilohertz (kHz)0.051 kHz = 1,000 Hz,精确值
megahertz (MHz)0.000051 MHz = 1,000,000 Hz,精确值
gigahertz (GHz)5 × 10⁻⁸1 GHz = 1,000,000,000 Hz,精确值
terahertz (THz)5 × 10⁻¹¹1 THz = 1,000,000,000,000 Hz,精确值
revolution per minute (rpm)3,0001 rpm = 1/60 Hz,精确值
beat per minute (BPM)3,0001 BPM = 1/60 Hz,精确值
radian per second (rad/s)314.15931 rad/s = 1/(2π) Hz,精确值
计算方法 S
  1. 将revolution per minute换算为hertz

    3,000 rpm×160 Hzrpm=50 Hz3{,}000\ \text{rpm} \times \tfrac{1}{60}\ \tfrac{\text{Hz}}{\text{rpm}} = 50\ \text{Hz}

    1 rpm = 1/60 Hz,精确值

    两个单位的定义都精确,且换算结果为有限小数,因此显示的每一位数字都精确。

关于频率转换器

One hertz is one cycle per second, so revolutions per minute and beats per minute divide by 60 to give hertz, and the SI prefixes step by 1,000 from kHz to THz. Angular frequency in radians per second is ω = 2πf, so 1 Hz is 6.2832 rad/s; conversions to or from rad/s involve π and are shown to 12 significant figures.

The default converts 3,000 rpm to 50 Hz, the speed of a two-pole motor on a 50 Hz supply. Musicians convert tempo the same way (120 BPM is 2 Hz), and radio users move between MHz and GHz: 2.4 GHz Wi-Fi is 2,400 MHz.

Rpm and BPM count whole cycles per minute, while rad/s counts the angle swept per second. A cycle is 2π radians, so 60 rpm is 1 Hz and 6.2832 rad/s.

计算示例

3000 rpm in Hz

数值
3000 rpm
从
revolution per minute (rpm)
到
hertz (Hz)
转换后的数值
50 Hz

核验来源:3000 / 60 = 50

120 BPM in Hz

数值
120 BPM
从
beat per minute (BPM)
到
hertz (Hz)
转换后的数值
2 Hz

核验来源:120 / 60 = 2

1 Hz in rad/s

数值
1 Hz
从
hertz (Hz)
到
radian per second (rad/s)
转换后的数值
6.2831853072 rad/s
精确性
定义精确,涉及 π

核验来源:ω = 2πf = 6.28318530717958647… (Python decimal)

2.4 GHz in MHz

数值
2.4 GHz
从
gigahertz (GHz)
到
megahertz (MHz)
转换后的数值
2,400 MHz

核验来源:2.4 × 1000

常见问题

How do I convert rpm to Hz?

Divide by 60, because hertz counts cycles per second and rpm cycles per minute. 3,000 rpm is 50 Hz, 1,800 rpm is 30 Hz, and 7,200 rpm, a common hard-drive speed, is 120 Hz. To go from Hz to rpm, multiply by 60.

Why does a motor run at 3,000 or 3,600 rpm?

Because its speed is locked to the supply frequency. A synchronous motor turns at 120 × f ÷ p rpm, where p is the number of poles, so a two-pole motor runs at 3,000 rpm on 50 Hz mains and 3,600 rpm on 60 Hz. Induction motors run a few percent below this synchronous speed, for example 2,900 rpm on 50 Hz.

How do I convert Hz to rad/s?

Multiply by 2π, about 6.28319: ω = 2πf. 50 Hz is 314.16 rad/s and 1 Hz is 6.2832 rad/s. Both units reduce to “per second”, but a hertz counts whole cycles while a radian per second counts the angle swept, and one cycle is 2π radians.

How many Hz is 120 BPM?

2 Hz: 120 beats ÷ 60 seconds. Tempo in beats per minute converts to hertz by dividing by 60, so 90 BPM is 1.5 Hz. The same rule applies to heart rate: the American Heart Association's normal adult resting range of 60 to 100 beats per minute is 1 to 1.67 Hz.

How many MHz are in a GHz?

1,000. SI prefixes step by 1,000: 1 GHz = 1,000 MHz = 1,000,000 kHz = 10⁹ Hz. Wi-Fi's 2.4 GHz band is 2,400 MHz, and a 3.5 GHz processor clock ticks 3.5 billion times a second. Frequency prefixes are always decimal, never the binary 1,024 used for some memory sizes.

“频率转换器”有多准确?

准确性取决于输入值和方法的假设。十进制运算使用50位有效数字,但估算、数值方法和源数据的精度可能较低;显示时的舍入并不能消除这些限制。 已按独立来源核验的计算示例:4。 例如,“3000 rpm in Hz”根据3000 / 60 = 50进行核验。

这种方法出自哪里?

NIST SP 811 (2008), Guide for the Use of the SI, Appendix B — conversion factors; NIST Handbook 44, Appendix C — General tables of units of measurement.

关于此计算器

xto=xfrom×ffromftof=one unit expressed in Hz\begin{gathered} x_{\text{to}} = x_{\text{from}} \times \dfrac{f_{\text{from}}}{f_{\text{to}}} \\ f = \text{one unit expressed in } \text{Hz} \end{gathered}

来源

  1. NIST SP 811 (2008), Guide for the Use of the SI, Appendix B — conversion factors
  2. NIST Handbook 44, Appendix C — General tables of units of measurement

已对照来源验证

此计算器包含 4 个已解示例,答案来自独立来源。这些示例会在测试套件中运行,你也可以在此运行验证。

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