Metres per second to Millimeters per hour conversion

How to convert metres per second to millimeters per hour?

Converting units of speed, such as metres per second (m/s) to millimeters per hour (mm/h), involves understanding how many millimeters are in a meter and how many seconds are in an hour. Let's break it down step-by-step:

Conversion Steps:

1. Distance Conversion:

   • 1 meter = 1000 millimeters.

2. Time Conversion:

   • 1 hour = 3600 seconds.

Applying the Conversions:

1. Convert 1 meter per second to millimeters per second: $1 \text{ meter/second} \times 1000 = 1000 \text{ millimeters/second}$

2. Convert millimeters per second to millimeters per hour: $1000 \text{ millimeters/second} \times 3600 = 3,600,000 \text{ millimeters/hour}$

So, 1 metre per second is equal to 3,600,000 millimeters per hour.

Real World Examples for Other Quantities:

1. Walking Speed: A typical walking speed is around 1.4 m/s.

   • Convert to mm/h: $1.4 \text{ m/s} \times 3,600,000 \text{ mm/h per m/s} = 5,040,000 \text{ mm/h}$

2. Running: An average running speed is about 5 m/s.

   • Convert to mm/h: $5 \text{ m/s} \times 3,600,000 \text{ mm/h per m/s} = 18,000,000 \text{ mm/h}$

3. Cycling: A moderate cycling speed might be 10 m/s.

   • Convert to mm/h: $10 \text{ m/s} \times 3,600,000 \text{ mm/h per m/s} = 36,000,000 \text{ mm/h}$

4. Speed of Sound: The speed of sound at sea level is approximately 343 m/s.

   • Convert to mm/h: $343 \text{ m/s} \times 3,600,000 \text{ mm/h per m/s} = 1,234,800,000 \text{ mm/h}$

By following the conversion steps for any value in meters per second, you can easily convert to millimeters per hour or any other desired unit of measure.