How To Convert From Km/hr to m/s and m/s to Km/hr - With Shortcut!
TLDRThis informative video script explains the process of converting units of speed between kilometers per hour and meters per second. It introduces a quick method using the factor 3.6 for both conversions and provides detailed examples with step-by-step calculations, ensuring a clear understanding of the conversion process. The script is designed to help viewers not only find the answer but also demonstrate their work, which is particularly useful for academic or professional purposes.
Takeaways
- 📏 Converting units is essential for understanding and comparing different measurements in various contexts.
- 🚀 To convert from kilometers per hour (km/h) to meters per second (m/s), divide the value by 3.6.
- 🔄 For the reverse conversion, from meters per second to kilometers per hour, multiply the value by 3.6.
- 🧠 Understanding the conversion factors is crucial: 1 km equals 1000 meters, 1 hour equals 60 minutes, and 1 minute equals 60 seconds.
- 📝 When showing work for conversions, it's important to set up the problem correctly with units to cancel out and achieve the desired unit format.
- 🌟 Example: Converting 40 km/h to m/s involves dividing 40 by 3.6, resulting in 11.1 m/s.
- 📐 For detailed conversion work, write out the steps and use the conversion factors to cancel units systematically.
- 🔢 In the example of 75 km/h to m/s, the calculation is (75 * 1000) / (60 * 60), yielding 20.83 m/s.
- 🛤️ Converting meters per second to kilometers per hour also involves using the conversion factors in reverse, as demonstrated with the example of 24 m/s to 86.4 km/h.
- 🌈 Practice is key: attempting different conversions, such as 19 m/s to km/h, reinforces understanding of the process.
- 🎓 The final example shows that regardless of the order in which you perform the conversions (meters to kilometers or seconds to minutes first), the result will be the same when done correctly.
Q & A
What is the primary topic of the video?
-The primary topic of the video is how to convert units of speed, specifically from kilometers per hour to meters per second and vice versa.
What is the quick method to convert kilometers per hour to meters per second?
-The quick method to convert kilometers per hour to meters per second is to divide the speed value in kilometers per hour by 3.6.
How can you show your work for converting kilometers per hour to meters per second?
-To show your work, you need to use conversion factors. You convert kilometers to meters (1 km = 1000 m) and hours to seconds (1 hour = 60 minutes = 3600 seconds), and then perform the calculation: (speed in km/h * 1000) / (3600).
What is the example given in the video for converting kilometers per hour to meters per second?
-The example given is converting 40 kilometers per hour to meters per second, which results in 11.1 meters per second when divided by 3.6.
What is the quick method to convert meters per second to kilometers per hour?
-The quick method to convert meters per second to kilometers per hour is to multiply the speed value in meters per second by 3.6.
How do you show the work for converting meters per second to kilometers per hour?
-To show the work, you use the conversion factors again. You convert meters to kilometers (1000 meters = 1 km) and seconds to hours (60 seconds = 1 minute, 3600 seconds = 1 hour), and then perform the calculation: (speed in m/s * 3600) / 1000.
What is the example given in the video for converting meters per second to kilometers per hour?
-The example given is converting 24 meters per second to kilometers per hour, which results in 86.4 kilometers per hour when multiplied by 3.6.
Why is it important to cancel units during the conversion process?
-Canceling units during the conversion process is important to isolate the desired units of measurement, ensuring that the final result is in the correct units (kilometers and hours in this case).
What is the significance of the number 3.6 in the conversion process?
-The number 3.6 is a conversion factor that relates kilometers per hour to meters per second. It is derived from the conversion of distance (1000 meters in a kilometer) and time (3600 seconds in an hour).
How can you ensure you get the correct units in the final answer?
-To ensure you get the correct units in the final answer, you must carefully place the conversion factors in the numerator and denominator to cancel out all units except for the ones you want to keep.
What is the process for converting 75 kilometers per hour to meters per second as shown in the video?
-To convert 75 kilometers per hour to meters per second, you divide 75 by 3.6 to get approximately 20.83 meters per second. Alternatively, you can manually convert each unit: multiply by 1000 to convert kilometers to meters, divide by 60 to convert hours to minutes, and then divide by 60 again to convert minutes to seconds.
What is the process for converting 19 meters per second to kilometers per hour as shown in the video?
-To convert 19 meters per second to kilometers per hour, you multiply 19 by 3.6 to get approximately 68.4 kilometers per hour. Alternatively, you can manually convert each unit: divide by 1000 to convert meters to kilometers, multiply by 60 to convert seconds to minutes, and then multiply by 60 again to convert minutes to hours.
Outlines
📐 Converting Kilometers per Hour to Meters per Second
This paragraph introduces the method of converting speed from kilometers per hour (km/h) to meters per second (m/s). It explains the quick way to perform the conversion by dividing the value in km/h by 3.6 to get the result in m/s. The paragraph also emphasizes the importance of showing work, especially for tests or assessments. An example is provided where 40 km/h is converted to m/s by dividing by 3.6, resulting in 11.1 m/s. The explanation includes a step-by-step breakdown of the conversion process, highlighting the need to convert kilometers to meters and hours to seconds using appropriate conversion factors.
🔄 Converting Meters per Second to Kilometers per Hour
This paragraph focuses on the reverse process of converting speed from meters per second (m/s) to kilometers per hour (km/h). It begins by explaining the shortcut method of multiplying the m/s value by 3.6 to obtain the result in km/h. The paragraph then provides a detailed example of converting 75 km/h to m/s, resulting in 20.83 m/s. The explanation involves a step-by-step approach, converting kilometers to meters, hours to minutes, and minutes to seconds, and then performing the necessary arithmetic to achieve the final result. The paragraph also encourages viewers to practice the conversion on their own.
🔄 Detailed Conversion Examples and Practice
This paragraph delves deeper into the conversion process with more examples and practice opportunities. It starts by guiding the viewer through the conversion of 24 m/s to km/h, using both the shortcut method and a detailed step-by-step approach. The explanation includes converting units of time and distance appropriately to arrive at the final result of 86.4 km/h. The paragraph then presents another example, converting 19 m/s to km/h, and encourages the viewer to work through the problem independently. The detailed explanation showcases the importance of canceling units correctly to arrive at the accurate conversion, resulting in a final answer of 68.4 km/h.
Mindmap
Keywords
💡conversion
💡kilometers per hour (km/h)
💡meters per second (m/s)
💡factor 3.6
💡conversion factors
💡unit cancellation
💡practice problems
💡speed
💡work
💡quick method
💡detailed method
Highlights
The video explains the conversion between kilometers per hour and meters per second.
To convert kilometers per hour to meters per second, divide by 3.6.
For the reverse, to convert meters per second to kilometers per hour, multiply by 3.6.
The video provides a quick method for conversion as well as a detailed method for showing your work.
An example is given where 40 kilometers per hour is converted to 11.1 meters per second.
Conversion factors used are: 1 kilometer equals 1000 meters, 1 hour equals 60 minutes, and 1 minute equals 60 seconds.
The process of converting units involves canceling out unwanted units and keeping the desired ones.
Another example is shown with 75 kilometers per hour converting to 20.83 meters per second.
The video also explains how to convert meters per second back to kilometers per hour.
An example of this reverse conversion is provided, converting 24 meters per second to 86.4 kilometers per hour.
The method for reverse conversion involves multiplying by 3.6 as a shortcut.
Detailed work for the reverse conversion is shown, including the use of conversion factors.
Another practice example is given, converting 19 meters per second to 68.4 kilometers per hour.
The video emphasizes the importance of canceling units correctly to get the desired result.
The final example demonstrates converting 19 meters per second to 68.5 kilometers per hour with detailed steps.
The video concludes by reinforcing that the method taught can be used to convert between meters per second and kilometers per hour.
Thank you for watching is reiterated, emphasizing the educational value of the video.
Transcripts
Browse More Related Video
College Physics 1: Lecture 4 - Units and Unit Conversions
Speed, Distance, Time - Corbettmaths
Velocity - speed, distance and time - math lesson
Velocity and speed: Motion in One Dimension
Unit Conversion the Easy Way (Dimensional Analysis)
IV Drip Flow Rates Drop Factor gtts/minute Dosage Calculations Nursing | NCLEX Review
5.0 / 5 (0 votes)
Thanks for rating: