Feet per Second to Centimetres per Second Converter

Convert velocity measurements from feet per second (ft/s) to centimetres per second (cm/s) with precision. This converter handles imperial to metric velocity conversions, commonly used in physics, engineering, fluid dynamics, and sports science applications.

Enter Value in Feet per Second (ft/s)

Decimal Precision

Result:

0 cm/s

Conversion Formula

The conversion between feet per second and centimetres per second is based on the relationship between feet and centimetres.

cm/s = ft/s × 30.48

Where 30.48 is the exact conversion factor (1 foot = 30.48 centimetres)

Reverse Conversion

ft/s = cm/s ÷ 30.48

Or equivalently: ft/s = cm/s × 0.0328084

Step-by-Step Conversion

Identify your velocity value in feet per second (ft/s)
Multiply the value by the conversion factor 30.48
The result is your velocity in centimetres per second (cm/s)
Round to your desired decimal precision

Example: Converting 15 ft/s to cm/s
15 ft/s × 30.48 = 457.2 cm/s

Common Conversions

Feet per Second (ft/s)	Centimetres per Second (cm/s)
0.5 ft/s	15.24 cm/s
1 ft/s	30.48 cm/s
2 ft/s	60.96 cm/s
5 ft/s	152.4 cm/s
10 ft/s	304.8 cm/s
15 ft/s	457.2 cm/s
20 ft/s	609.6 cm/s
25 ft/s	762 cm/s
30 ft/s	914.4 cm/s
50 ft/s	1,524 cm/s
75 ft/s	2,286 cm/s
100 ft/s	3,048 cm/s

Extended Reference Table

ft/s	cm/s	ft/s	cm/s
0.1	3.048	35	1,066.8
0.5	15.24	40	1,219.2
1	30.48	45	1,371.6
3	91.44	60	1,828.8
6	182.88	80	2,438.4
12	365.76	120	3,657.6
18	548.64	150	4,572
24	731.52	200	6,096

Units Explained

Feet per Second (ft/s)

Feet per second is an imperial unit of velocity that measures the distance travelled in feet during one second. It is commonly used in the United States and UK for measuring projectile velocities, sports performance metrics, and engineering applications. One foot equals exactly 0.3048 metres.

Centimetres per Second (cm/s)

Centimetres per second is a metric unit of velocity representing the distance travelled in centimetres during one second. This unit is frequently used in scientific research, laboratory measurements, and physics education. It provides a convenient scale for measuring moderate velocities in metric systems. One centimetre equals 0.01 metres.

Velocity Context

Real-World Velocities:

3 ft/s (91.44 cm/s): Average human walking speed
10 ft/s (304.8 cm/s): Moderate jogging pace
22 ft/s (670.56 cm/s): Top speed of Olympic sprinters
60 ft/s (1,828.8 cm/s): Typical motorway driving speed
100 ft/s (3,048 cm/s): Fast-moving vehicles or aircraft

Conversion Methods

Exact Method

For precise scientific work, use the exact conversion factor of 30.48 (based on the international foot definition established in 1959). This ensures accuracy to any required decimal precision.

Quick Mental Approximation

For rough estimates, multiply ft/s by 30 to get an approximate value in cm/s. Whilst this introduces a small error (approximately 1.6%), it is sufficient for many everyday scenarios.

Note: The exact conversion factor 30.48 is derived from the internationally agreed definition where 1 foot = 0.3048 metres = 30.48 centimetres. This standardisation occurred in 1959 when English-speaking countries adopted the international foot.

Related Velocity Units

From ft/s	To Unit	Multiply by
ft/s	metres per second (m/s)	0.3048
ft/s	kilometres per hour (km/h)	1.09728
ft/s	miles per hour (mph)	0.681818
ft/s	knots (kn)	0.592484
ft/s	inches per second (in/s)	12

Frequently Asked Questions

How many centimetres per second are in one foot per second?

One foot per second equals exactly 30.48 centimetres per second. This is derived from the standard definition where 1 foot = 30.48 cm.

Why is the conversion factor 30.48?

The conversion factor comes from the international agreement in 1959 that defined 1 foot as exactly 0.3048 metres. Since there are 100 centimetres in a metre, 1 foot equals 30.48 centimetres.

Which unit is larger: ft/s or cm/s?

Feet per second is the larger unit. One ft/s equals 30.48 cm/s, meaning it takes 30.48 cm/s to equal the same velocity as 1 ft/s.

When should I use feet per second versus centimetres per second?

Feet per second is typically used in countries that use imperial measurements (such as the United States) and in specific industries like aerospace. Centimetres per second is more common in scientific research, laboratory work, and countries using the metric system.

Is the conversion between ft/s and cm/s exact?

Yes, the conversion is exact based on the internationally agreed definition of the foot. The factor 30.48 is precise and not an approximation.

Can I convert cm/s back to ft/s?

Absolutely. To convert from cm/s to ft/s, divide the cm/s value by 30.48, or multiply by 0.0328084 (which is 1/30.48).

What level of precision should I use?

For most engineering and practical purposes, 2-4 decimal places are sufficient. Scientific research may require higher precision depending on the application. Consider the precision of your original measurement when deciding.

Are ft/s and fps the same unit?

Yes, ft/s and fps both represent feet per second. The abbreviations are used interchangeably, though ft/s is more commonly used in formal scientific documentation.