Metres per second (m/s) to Inches per hour (in/h) conversion

Metres per second to Inches per hour conversion table

Metres per second (m/s)Inches per hour (in/h)
00
1141757.68644198
2283515.37288395
3425273.05932593
4567030.74576791
5708788.43220989
6850546.11865186
7992303.80509384
81134061.4915358
91275819.1779778
101417576.8644198
202835153.7288395
304252730.5932593
405670307.4576791
507087884.3220989
608505461.1865186
709923038.0509384
8011340614.915358
9012758191.779778
10014175768.644198
1000141757686.44198

How to convert metres per second to inches per hour?

Here's a guide on how to convert meters per second (m/s) to inches per hour (in/hr) and vice versa.

Understanding the Conversion

Converting between metric and imperial units involves a series of fixed ratios. In this case, we will need to know the relationship between meters and inches, and seconds and hours. The conversion is the same for base 10 and base 2 since we are dealing with standard units of length and time.

Conversion Factors

  • 1 meter = 39.3701 inches
  • 1 hour = 3600 seconds

Converting Metres per Second to Inches per Hour

To convert 1 m/s to inches per hour, use the following steps:

  1. Convert meters to inches:

    Multiply the value in meters by the conversion factor to get the equivalent in inches.

    1 m=39.3701 in1 \text{ m} = 39.3701 \text{ in}

  2. Convert seconds to hours:

    Multiply the value in seconds by the conversion factor to get the equivalent in hours.

    1 hr=3600 s1 \text{ hr} = 3600 \text{ s}

  3. Combine the conversion:

    1ms=1ms×39.3701 in1 m×3600 s1 hr1 \frac{\text{m}}{\text{s}} = 1 \frac{\text{m}}{\text{s}} \times \frac{39.3701 \text{ in}}{1 \text{ m}} \times \frac{3600 \text{ s}}{1 \text{ hr}}

    1ms=39.3701×3600inhr1 \frac{\text{m}}{\text{s}} = 39.3701 \times 3600 \frac{\text{in}}{\text{hr}}

    1ms=141732.36inhr1 \frac{\text{m}}{\text{s}} = 141732.36 \frac{\text{in}}{\text{hr}}

    Therefore, 1 meter per second is equal to approximately 141,732.36 inches per hour.

Converting Inches per Hour to Metres per Second

To convert 1 inch per hour to meters per second, you'll reverse the process:

  1. Convert inches to meters:

    1 in=139.3701 m1 \text{ in} = \frac{1}{39.3701} \text{ m}

  2. Convert hours to seconds:

    1 hr=3600 s1 \text{ hr} = 3600 \text{ s}

  3. Combine the conversion:

    1inhr=1inhr×1 m39.3701 in×1 hr3600 s1 \frac{\text{in}}{\text{hr}} = 1 \frac{\text{in}}{\text{hr}} \times \frac{1 \text{ m}}{39.3701 \text{ in}} \times \frac{1 \text{ hr}}{3600 \text{ s}}

    1inhr=139.3701×3600ms1 \frac{\text{in}}{\text{hr}} = \frac{1}{39.3701 \times 3600} \frac{\text{m}}{\text{s}}

    1inhr=7.0686×106ms1 \frac{\text{in}}{\text{hr}} = 7.0686 \times 10^{-6} \frac{\text{m}}{\text{s}}

    Therefore, 1 inch per hour is approximately equal to 7.0686×1067.0686 \times 10^{-6} meters per second.

Real-World Examples

  1. Walking Speed:

    • Average walking speed: 1.4 m/s ≈ 200,425.3 in/hr
  2. Sprinter Speed:

    • Top sprinter speed: 10 m/s ≈ 1,417,323.6 in/hr
  3. Highway Speed:

    • Highway speed: 30 m/s ≈ 4,251,970.8 in/hr

Historical Context

While there isn't a specific law or person directly associated with this particular conversion, the development of standardized units of measurement has been crucial for scientific and engineering progress. The metric system, including meters and seconds, was developed during the French Revolution and has become the standard for most of the world due to its simplicity and scalability. The United States still commonly uses the imperial system, including inches and hours, leading to the necessity for these types of conversions.

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 Inches per hour to other unit conversions.

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/s3.6=km/hm/s * 3.6 = km/h)
  • Miles per hour (mph): Multiply m/s by 2.237. (m/s2.237=mphm/s * 2.237 = mph)
  • Knots (kn): Multiply m/s by 1.944. (m/s1.944=knotsm/s * 1.944 = knots)

What is inches per hour?

What is Inches per hour?

Inches per hour (in/h) is a unit of speed, specifically measuring the distance traveled in inches over a period of one hour. It's commonly used to express very slow speeds or rates, such as the growth rate of plants, the movement of glaciers, or, most frequently, the rate of precipitation.

Understanding Inches per Hour

Definition

Inches per hour (in/h) is a unit of velocity expressing the distance traveled in inches for every hour.

How it's formed

The unit is formed by dividing a distance measured in inches by a time measured in hours.

Speed (in/h)=Distance (inches)Time (hours)\text{Speed (in/h)} = \frac{\text{Distance (inches)}}{\text{Time (hours)}}

Applications and Examples

Precipitation Rate

Inches per hour is most commonly used to measure the intensity of rainfall.

  • Light rain: Typically less than 0.10 in/h.
  • Moderate rain: Between 0.10 and 0.30 in/h.
  • Heavy rain: More than 0.30 in/h.

You can read more about rate of precipitation from National Weather Service website.

Plant Growth

The growth rate of plants, especially shoots or roots, can be measured in inches per hour, particularly for time-lapse studies or under controlled conditions. For example, certain types of bamboo can grow several inches per hour under optimal conditions.

Glacial Movement

While glaciers typically move very slowly, their movement can be measured in inches per hour over short periods. This is especially true during surges or periods of rapid melting.

Manufacturing Processes

In certain manufacturing or machining processes, the feed rate (how fast a cutting tool moves) might be expressed in inches per hour, especially for very precise or slow operations.

Complete Metres per second conversion table

Enter # of Metres per second
Convert 1 m/s to other unitsResult
Metres per second to Kilometres per hour (m/s to km/h)3.6
Metres per second to Millimeters per hour (m/s to mm/h)3600000
Metres per second to Miles per hour (m/s to mph)2.2369362920544
Metres per second to Knots (m/s to knot)1.943845249222
Metres per second to Feet per second (m/s to ft/s)3.280840769904
Metres per second to Feet per minute (m/s to ft/min)196.85102362406
Metres per second to Inches per hour (m/s to in/h)141757.68644198