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Millimeters per hour (mm/h) to Metres per second (m/s) conversion

Millimeters per hour to Metres per second conversion table

Millimeters per hour (mm/h)Metres per second (m/s)
00
12.7777777777778e-7
25.5555555555556e-7
38.3333333333333e-7
40.000001111111111111
50.000001388888888889
60.000001666666666667
70.000001944444444444
80.000002222222222222
90.0000025
100.000002777777777778
200.000005555555555556
300.000008333333333333
400.00001111111111111
500.00001388888888889
600.00001666666666667
700.00001944444444444
800.00002222222222222
900.000025
1000.00002777777777778
10000.0002777777777778

How to convert millimeters per hour to metres per second?

Here's an explanation of how to convert millimeters per hour to meters per second, focusing on the conversion process, SEO best practices, and real-world context.

Understanding the Conversion: Millimeters per Hour to Meters per Second

Converting between millimeters per hour (mm/h) and meters per second (m/s) involves scaling between different units of length (millimeters to meters) and time (hours to seconds). This type of conversion is fundamental in physics, engineering, and everyday scenarios where rates of change are important.

Step-by-Step Conversion: mm/h to m/s

To convert millimeters per hour to meters per second, you need to account for the differences in both length and time units. Here's the breakdown:

  1. Millimeters to Meters: There are 1000 millimeters in a meter. Therefore, to convert millimeters to meters, divide by 1000.

  2. Hours to Seconds: There are 3600 seconds in an hour. Therefore, to convert hours to seconds, multiply by 3600.

Combining these two conversions, we get the following formula:

m/s=mm/h1000⋅3600\text{m/s} = \frac{\text{mm/h}}{1000 \cdot 3600}

So, to convert 1 mm/h to m/s:

m/s=11000⋅3600=13,600,000≈2.7778×10−7 m/s\text{m/s} = \frac{1}{1000 \cdot 3600} = \frac{1}{3,600,000} \approx 2.7778 \times 10^{-7} \text{ m/s}

Therefore, 1 millimeter per hour is approximately 2.7778×10−72.7778 \times 10^{-7} meters per second.

Step-by-Step Conversion: m/s to mm/h

To convert meters per second to millimeters per hour, you need to reverse the process. Here's the breakdown:

  1. Meters to Millimeters: There are 1000 millimeters in a meter. Therefore, to convert meters to millimeters, multiply by 1000.

  2. Seconds to Hours: There are 3600 seconds in an hour. Therefore, to convert seconds to hours, divide by 3600.

Combining these two conversions, we get the following formula:

mm/h=m/s⋅1000⋅3600\text{mm/h} = \text{m/s} \cdot 1000 \cdot 3600

So, to convert 1 m/s to mm/h:

mm/h=1⋅1000⋅3600=3,600,000 mm/h\text{mm/h} = 1 \cdot 1000 \cdot 3600 = 3,600,000 \text{ mm/h}

Therefore, 1 meter per second is equal to 3,600,000 millimeters per hour.

Base 10 vs Base 2

This conversion is based on the metric system, which is a base-10 system. Base-2 (binary) is not relevant for these specific units of measurement (mm/h and m/s), as they are defined within the decimal system. Binary is primarily used in computing for data representation.

Real-World Examples

Here are some examples where converting between mm/h and m/s can be useful:

  1. Rainfall Measurement: Meteorologists often use mm/h to measure rainfall intensity. Knowing the equivalent in m/s can help in hydrological modeling. For example, heavy rainfall might be recorded as 50 mm/h, which is approximately 1.3889×10−51.3889 \times 10^{-5} m/s. (Example Source)

  2. Glacier Movement: Glaciologists might measure the movement of glaciers in millimeters per hour over short periods, but for modeling purposes, they might need this in meters per second. For example, a glacier moving at 100 mm/h is approximately 2.7778×10−52.7778 \times 10^{-5} m/s.

  3. Manufacturing Processes: In precision manufacturing, the movement of parts might be measured in mm/h. Converting this to m/s helps in synchronizing processes with other equipment. For instance, a component moving at 5 mm/h is approximately 1.3889×10−61.3889 \times 10^{-6} m/s.

Interesting Facts and Associated Laws

The principles behind unit conversion are deeply rooted in the International System of Units (SI), which standardizes measurements across scientific and technical fields. The SI system ensures that measurements are consistent and comparable worldwide, facilitating communication and collaboration in science, engineering, and commerce.

The SI base units, such as meters and seconds, are defined by international agreement and maintained by the International Bureau of Weights and Measures (BIPM). This ensures that a meter in Paris is the same as a meter in Tokyo, and that a second is universally consistent, based on atomic time standards. (Source: BIPM)

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 Metres per second to other unit conversions.

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.

What is metres per second?

What is Metres per second?

Metres per second (m/s) is the standard unit of speed (scalar) or velocity (vector) in the International System of Units (SI). It represents the distance traveled in metres during each second. Understanding this unit is crucial in physics and everyday applications for quantifying motion.

Understanding Metres per Second

Definition

Metres per second (m/s) is a derived unit, meaning it's defined in terms of base SI units: the metre (m) for length and the second (s) for time. It expresses how many metres an object travels in one second.

Formula

Speed or velocity is calculated as:

v=dtv = \frac{d}{t}

Where:

  • vv = speed or velocity (m/s)
  • dd = distance traveled (m)
  • tt = time taken (s)

Formation of Metres per Second

The unit is formed by dividing a distance measured in metres by a time measured in seconds. This gives you the rate at which an object is moving.

For example, if a car travels 100 metres in 10 seconds, its average speed is:

v=100 m10 s=10 m/sv = \frac{100 \ m}{10 \ s} = 10 \ m/s

Notable Associations

Galileo Galilei

Galileo Galilei, a prominent figure in physics and astronomy, significantly contributed to our understanding of motion. While he didn't use the modern unit of m/s, his experiments with falling objects and motion on inclined planes laid the groundwork for understanding speed and acceleration, concepts directly related to metres per second.

Isaac Newton

Isaac Newton used the concepts of distance and time in his laws of motion. The first law states that an object in motion stays in motion with the same speed and in the same direction unless acted upon by a force. This constant speed is very related to meters per second.

Real-World Examples

Walking Speed

A typical walking speed is around 1.4 m/s.

Sprinting Speed

An Olympic sprinter can reach speeds of around 10-12 m/s.

Car Speed

A car traveling at 60 km/h is moving at approximately 16.67 m/s. (60,000 m3600 s=16.67 m/s\frac{60,000 \ m}{3600 \ s} = 16.67 \ m/s)

Speed of Sound

The speed of sound in dry air at 20°C is approximately 343 m/s.

Orbital Speed

The International Space Station orbits Earth at approximately 7,660 m/s.

Conversion to Other Units

Metres per second can be converted to other common units of speed:

  • Kilometres per hour (km/h): Multiply m/s by 3.6. (m/s∗3.6=km/hm/s * 3.6 = km/h)
  • Miles per hour (mph): Multiply m/s by 2.237. (m/s∗2.237=mphm/s * 2.237 = mph)
  • Knots (kn): Multiply m/s by 1.944. (m/s∗1.944=knotsm/s * 1.944 = knots)

Complete Millimeters per hour conversion table

Enter # of Millimeters per hour
Convert 1 mm/h to other unitsResult
Millimeters per hour to Metres per second (mm/h to m/s)2.7777777777778e-7
Millimeters per hour to Kilometres per hour (mm/h to km/h)0.000001
Millimeters per hour to Miles per hour (mm/h to mph)6.2137119223733e-7
Millimeters per hour to Knots (mm/h to knot)5.3995701367277e-7
Millimeters per hour to Feet per second (mm/h to ft/s)9.1134465830667e-7
Millimeters per hour to Feet per minute (mm/h to ft/min)0.00005468083989557
Millimeters per hour to Inches per hour (mm/h to in/h)0.03937713512277

Speed conversions