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Feet per second (ft/s) to Millimeters per hour (mm/h) conversion

Feet per second to Millimeters per hour conversion table

Feet per second (ft/s)Millimeters per hour (mm/h)
00
11097279.707392
22194559.414784
33291839.122176
44389118.829568
55486398.53696
66583678.244352
77680957.951744
88778237.659136
99875517.366528
1010972797.07392
2021945594.14784
3032918391.22176
4043891188.29568
5054863985.3696
6065836782.44352
7076809579.51744
8087782376.59136
9098755173.66528
100109727970.7392
10001097279707.392

How to convert feet per second to millimeters per hour?

Converting between feet per second (ft/s) and millimeters per hour (mm/h) involves understanding the relationships between these units of length and time. Here's a detailed guide on how to perform these conversions.

Understanding the Conversion Factors

To convert between ft/s and mm/h, you need to know the conversion factors:

  • 1 foot = 304.8 millimeters
  • 1 hour = 3600 seconds

These conversion factors allow us to move between the units efficiently.

Converting Feet per Second to Millimeters per Hour

To convert feet per second to millimeters per hour, multiply by the conversion factors that turn feet into millimeters and seconds into hours. Here's the formula:

mm/h=ft/s×304.8mmft×3600sh\text{mm/h} = \text{ft/s} \times 304.8 \frac{\text{mm}}{\text{ft}} \times 3600 \frac{\text{s}}{\text{h}}

Example:

Convert 1 ft/s to mm/h:

1fts=1fts×304.8mmft×3600sh=1,097,280mmh1 \frac{\text{ft}}{\text{s}} = 1 \frac{\text{ft}}{\text{s}} \times 304.8 \frac{\text{mm}}{\text{ft}} \times 3600 \frac{\text{s}}{\text{h}} = 1,097,280 \frac{\text{mm}}{\text{h}}

Therefore, 1 foot per second is equal to 1,097,280 millimeters per hour.

Converting Millimeters per Hour to Feet per Second

To convert millimeters per hour back to feet per second, you'll divide by the same conversion factors:

ft/s=mm/h÷304.8mmft÷3600sh\text{ft/s} = \text{mm/h} \div 304.8 \frac{\text{mm}}{\text{ft}} \div 3600 \frac{\text{s}}{\text{h}}

Example:

Convert 1 mm/h to ft/s:

1mmh=1304.8×3600fts≈9.113×10−7fts1 \frac{\text{mm}}{\text{h}} = \frac{1}{304.8 \times 3600} \frac{\text{ft}}{\text{s}} \approx 9.113 \times 10^{-7} \frac{\text{ft}}{\text{s}}

Therefore, 1 millimeter per hour is approximately equal to 9.113×10−79.113 \times 10^{-7} feet per second.

Real-World Examples

Here are some real-world examples to give you a sense of these speeds:

  1. Walking Speed: Average walking speed is around 5 ft/s, which converts to:

    5fts×304.8mmft×3600sh=5,486,400mmh5 \frac{\text{ft}}{\text{s}} \times 304.8 \frac{\text{mm}}{\text{ft}} \times 3600 \frac{\text{s}}{\text{h}} = 5,486,400 \frac{\text{mm}}{\text{h}}

    So, walking speed is about 5,486,400 mm/h.

  2. Sprinkler System: A slow-rotating sprinkler might have a nozzle speed of 0.1 ft/s:

    0.1fts×304.8mmft×3600sh=109,728mmh0.1 \frac{\text{ft}}{\text{s}} \times 304.8 \frac{\text{mm}}{\text{ft}} \times 3600 \frac{\text{s}}{\text{h}} = 109,728 \frac{\text{mm}}{\text{h}}

    This sprinkler nozzle moves at 109,728 mm/h.

  3. Glacier Movement: Glaciers can move very slowly, sometimes at rates of 0.0001 ft/s:

    0.0001fts×304.8mmft×3600sh=109.728mmh0.0001 \frac{\text{ft}}{\text{s}} \times 304.8 \frac{\text{mm}}{\text{ft}} \times 3600 \frac{\text{s}}{\text{h}} = 109.728 \frac{\text{mm}}{\text{h}}

    So a glacier moving at this rate is shifting about 109.728 mm/h.

Unit Conversion and Dimensional Analysis

The method used for these conversions is known as dimensional analysis, a technique often used in science and engineering to ensure that calculations are consistent and units are correctly converted. The principle is to multiply by conversion factors in such a way that unwanted units cancel out, leaving the desired units. More information can be found at NIST.

Base 10 vs Base 2

The base (10 or 2) doesn't directly impact the conversion between feet per second and millimeters per hour, as these units are related to length and time, not digital storage or data transfer rates. The conversion is the same in either base.

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 Millimeters per hour to other unit conversions.

What is Feet per Second?

Feet per second (fps) is a unit of speed expressing the distance in feet traveled per second. It's commonly used in various fields, including sports, engineering, and meteorology, to quantify how fast an object is moving.

Formation of Feet per Second

Feet per second is derived from two fundamental units:

  • Feet (ft): A unit of length in the imperial and US customary systems.
  • Second (s): The base unit of time in the International System of Units (SI).

The unit is formed by dividing a distance measured in feet by a time measured in seconds:

Speed=Distance (ft)Time (s)\text{Speed} = \frac{\text{Distance (ft)}}{\text{Time (s)}}

Real-World Examples and Applications

  • Sports: A baseball pitch can reach speeds of 90-100 mph, which is approximately 132-147 fps.
  • Meteorology: Wind speed is often measured in feet per second, especially in aviation and weather forecasting. For example, a moderate breeze might be around 15-20 fps.
  • Engineering: Calculating the speed of a vehicle or fluid flow in a pipe. For instance, water flowing through a pipe at 10 fps.
  • Ballistics: Measuring the muzzle velocity of a bullet, which can range from 800 fps to over 3000 fps depending on the firearm and ammunition.

Relationship to Other Speed Units

Feet per second can be converted to other common units of speed using the following relationships:

  • Miles per hour (mph): 1 fps ≈ 0.681818 mph
  • Meters per second (m/s): 1 fps ≈ 0.3048 m/s
  • Kilometers per hour (km/h): 1 fps ≈ 1.09728 km/h

Notable Associations and Facts

While there isn't a specific law or person directly associated with the invention or formalization of feet per second, its usage is deeply ingrained in fields that involve motion and speed measurements.

  • Galileo Galilei: His work on motion and free fall laid the groundwork for understanding speed and acceleration, though he didn't use the modern unit of feet per second.
  • Speed of Sound: At sea level and 20°C, the speed of sound is approximately 1125 fps. This is a critical value in acoustics and aerodynamics. Read more about speed of sound from NASA Glenn Research Center.

Quick Conversions

Here are some common speeds converted to feet per second:

  • 30 mph ≈ 44 fps
  • 60 mph ≈ 88 fps
  • 100 mph ≈ 146.67 fps

What is Millimeters per hour?

Millimeters per hour (mm/h) is a unit of measurement for precipitation intensity, specifically quantifying the amount of liquid precipitation (usually rain) that falls over a period of one hour. It indicates the depth of water that would accumulate on a level surface if the precipitation remained there and did not run off, infiltrate, or evaporate.

Understanding Millimeters per Hour

  • Definition: Millimeters per hour expresses the rate at which rain, snow, or other liquid precipitation accumulates. A higher value indicates heavier precipitation.
  • Formation: It is derived by measuring the amount of precipitation collected over a specific time period (one hour) and expressing it in terms of millimeters.
  • Practical Interpretation: 1 mm/h means that if the rain fell steadily for an hour and didn't go anywhere, it would form a layer of water 1 millimeter deep.

Significance and Applications

  • Meteorology: Crucial for weather forecasting, monitoring precipitation patterns, and assessing the intensity of rainfall events.
  • Hydrology: Used in hydrological models to predict runoff, streamflow, and flood potential.
  • Agriculture: Helps determine irrigation needs and assess the impact of rainfall on crop growth.
  • Civil Engineering: Important for designing drainage systems, managing stormwater runoff, and preventing flooding in urban areas.

Real-World Examples

  • Drizzle: Light drizzle might have an intensity of 0.1 - 0.5 mm/h.
  • Moderate Rain: Moderate rainfall typically falls at a rate of 2.5 - 7.5 mm/h.
  • Heavy Rain: Heavy rain can exceed 7.5 mm/h, potentially leading to localized flooding.
  • Extreme Downpour: Intense thunderstorms can produce rainfall rates of 25 mm/h or even higher, posing significant flood risks.

Relationship to Other Units and Formulas

While millimeters per hour directly measures precipitation intensity, it's related to other concepts in physics and meteorology.

  • Volume: The total volume of water falling on an area can be calculated using the rainfall intensity and the area:

    Volume=Rainfall Intensity×Area×TimeVolume = Rainfall\ Intensity \times Area \times Time

  • Conversion: It's helpful to know how mm/h related to other units:

    • 1 mm/h ≈ 0.039 inches/hour
    • 1 inch/hour ≈ 25.4 mm/h

Interesting Facts and Notable Figures

While no specific "law" is directly associated with millimeters per hour, the measurement is integral to quantitative precipitation estimation (QPE) and quantitative precipitation forecasting (QPF) efforts, which are continually advancing.

Vilhelm Bjerknes: While not directly tied to mm/h itself, Bjerknes' work on weather forecasting laid the foundation for the science that utilizes this unit extensively. He was a Norwegian physicist and meteorologist who founded the Bergen School of Meteorology.

Complete Feet per second conversion table

Enter # of Feet per second
Convert 1 ft/s to other unitsResult
Feet per second to Metres per second (ft/s to m/s)0.30479991872
Feet per second to Kilometres per hour (ft/s to km/h)1.097279707392
Feet per second to Millimeters per hour (ft/s to mm/h)1097279.707392
Feet per second to Miles per hour (ft/s to mph)0.681818
Feet per second to Knots (ft/s to knot)0.5924838739671
Feet per second to Feet per minute (ft/s to ft/min)60.000176000563
Feet per second to Inches per hour (ft/s to in/h)43207.73130545

Speed conversions