Changing units from one system to other | Units and Measurements | Grade 11 | Physics | Khan Academy

In this video, we simplify unit conversion using the powerful technique of dimensional analysis. Learn how to switch between different measurement systems (SI, CGS, FPS, MKS, etc.) effortlessly by applying dimensional principles. This method ensures accuracy and helps in solving physics problems efficiently. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! https://www.khanacademy.org/science/i... "0:00 - Introduction to Dimensional Analysis Applications 0:09 - Three Major Applications of Dimensional Analysis 0:27 - Focus: Changing Units from One System to Another 0:37 - Example: Converting Newton to Dyne 1:02 - What is Dimensional Analysis? 1:22 - Understanding Dimensional Formula (Example: Density) 2:00 - Steps to Convert Units Between Systems 2:09 - SI System vs CGS System (Example: Force) 2:31 - Defining Variables for Conversion Formula 3:15 - Important Formula: n₁u₁ = n₂u₂ 3:26 - Breaking Down the Formula in Terms of Dimensions 4:16 - SI vs CGS: Mass, Length, and Time Units 4:50 - Why Dimensions Remain the Same Across Systems 5:27 - Finding n₂ Using the Formula 6:05 - Example: Converting 1 Newton to Dyne 6:16 - Dimensional Formula for Force 6:44 - Substituting Values to Find n₂ 7:52 - Conclusion: 1 Newton = 10⁵ Dyne 8:11 - Another Example: Converting Joule to Erg 8:47 - Dimensional Formula for Energy 9:31 - Applying the Conversion Formula for Energy 10:25 - Conclusion: 1 Joule = 10⁷ Erg 10:37 - Summary: Importance of Dimensional Analysis in Unit Conversion 10:45 - Closing Remarks Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by Chandan Ganotra