# 加速度转换器

> Convert g-force to m/s², m/s² to g, ft/s² and gal (cm/s²), using standard gravity g₀ = 9.80665 m/s² exactly.

交互版本：https://www.calcopenly.com/zh/conversion/acceleration-converter
主题：单位换算器

Acceleration is change of speed per unit time, and each unit here is a fixed number of metres per second squared. The g of g-force is standard gravity, g₀ = 9.80665 m/s², fixed by the 3rd CGPM in 1901; a foot per second squared is 0.3048 m/s², and a gal (galileo) is 1 cm/s².

The default converts 1 g to 9.80665 m/s². Vehicle performance is the everyday use: a car that reaches 100 km/h from rest in 3 seconds averages 9.26 m/s², or 0.94 g.

Standard gravity is a conventional value. Real free-fall acceleration runs from about 9.78 m/s² at the equator to 9.83 m/s² at the poles, and geophysicists measure its local variations in milligals.

## 输入

- **数值**: 输入源单位下的数值，也可以输入带有自身单位的数值
- **从** (选项：metre per second squared (m/s²), standard gravity (g), foot per second squared (ft/s²), gal (galileo))
- **到** (选项：metre per second squared (m/s²), standard gravity (g), foot per second squared (ft/s²), gal (galileo))

## 结果

- 转换后的数值 — 主要结果
- 换算
- 换算系数
- 精确性

## 公式

$$
\begin{gathered} x_{\text{to}} = x_{\text{from}} \times \dfrac{f_{\text{from}}}{f_{\text{to}}} \\ f = \text{one unit expressed in } \text{m/s²} \end{gathered}
$$

## 计算示例

### 1 g in m/s²

- 数值: 1 g
- 从: standard gravity (g)
- 到: metre per second squared (m/s²)
- **转换后的数值: 9.80665 m/s²**
- 核验来源：Standard gravity g₀ = 9.80665 m/s² exactly (CGPM 1901)

### 1 g in ft/s²

- 数值: 1 g
- 从: standard gravity (g)
- 到: foot per second squared (ft/s²)
- **转换后的数值: 32.1740485564 ft/s²**
- 核验来源：9.80665 / 0.3048 = 196133/6096 (Python 3.8 fractions from the legal definitions)

### 1 gal in m/s²

- 数值: 1 Gal
- 从: gal (galileo)
- 到: metre per second squared (m/s²)
- **转换后的数值: 0.01 m/s²**
- 核验来源：1 Gal = 1 cm/s² (NIST SP 811 App. B)

### 9.80665 m/s² is exactly 1 g

- 数值: 9.80665 m/s²
- 从: metre per second squared (m/s²)
- 到: standard gravity (g)
- **转换后的数值: 1 g**
- **精确性: 精确**
- 核验来源：Definition of g₀

## 常见问题

### What is 1 g in m/s²?

Exactly 9.80665 m/s², the standard acceleration of gravity adopted by the 3rd General Conference on Weights and Measures in 1901. It equals 32.174 ft/s². Local gravity differs slightly; 9.80665 is the convention used for g-force and for units such as the kilogram-force.

### How do I work out g-force from a 0–60 or 0–100 time?

Divide the speed gained by the time, then divide by 9.80665. 0–60 mph (26.8224 m/s) in 3 s averages 8.94 m/s², or 0.91 g; 0–100 km/h (27.78 m/s) in 3 s averages 9.26 m/s², or 0.94 g. The peak acceleration during the run is higher than this average.

### What is a gal (Gal) in acceleration?

One centimetre per second squared, 0.01 m/s², named after Galileo. Earth's surface gravity is about 980 Gal, so gravity surveys work in milligals, where 1 mGal is about one millionth of g. The symbol is Gal, and the unit has nothing to do with the gallon.

### How do I convert ft/s² to m/s²?

Multiply by 0.3048, the exact number of metres in a foot. 32.174 ft/s² is 9.80665 m/s² (1 g), and 10 ft/s² is 3.048 m/s². To go from m/s² to ft/s², divide by 0.3048, which is the same as multiplying by 3.28084.

### Is gravity 9.81 m/s² everywhere?

No. Free-fall acceleration is about 9.780 m/s² at the equator and 9.832 m/s² at the poles, because the Earth spins and bulges at the equator, and it falls slightly with altitude. 9.81 is 9.80665 rounded, the conventional value between those extremes that g-force is measured against.

### “加速度转换器”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，“1 g in m/s²”根据Standard gravity g₀ = 9.80665 m/s² exactly (CGPM 1901)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.

## 来源

- [NIST SP 811 (2008), Guide for the Use of the SI, Appendix B — conversion factors](https://www.nist.gov/pml/special-publication-811)
- [NIST Handbook 44, Appendix C — General tables of units of measurement](https://www.nist.gov/pml/owm/nist-handbook-44-current-edition)