How to Convert Acceleration from km/h² to cm/s² Step-by-Step

Learn the step-by-step method to convert an acceleration of 2 km per hour squared (km/h²) into centimeters per second squared (cm/s²) accurately.

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To convert an acceleration of 2 km per hour^2 into cm per second^2, follow these steps: 1. Convert kilometers to centimeters by multiplying by 100,000 (2 km = 200,000 cm). 2. Convert hours to seconds by squaring 3600 (since we're dealing with acceleration, which is distance over time squared, hour^2 becomes 3600^2). Finally, divide the cm result by the second^2 result to get the acceleration in cm per sec^2. The conversion is 200,000 cm / 12,960,000 sec^2 = 0.0154 cm per sec^2.

FAQs & Answers

  1. How do you convert km/h² to m/s²? To convert km/h² to m/s², multiply the value in km/h² by the factor 0.000077. This is because 1 km = 1000 m and 1 hour = 3600 seconds, so you square the time conversion accordingly.
  2. Why do you square the time during acceleration unit conversions? Acceleration is a measure of distance per time squared, so when converting units involving time, you must square the time conversion factor to keep the units consistent.
  3. What is the formula to convert 2 km/h² to cm/s²? The formula is to first convert 2 km to centimeters (2 × 100,000 cm), then convert hour squared to seconds squared (3600² seconds²), and finally divide the two results to get the acceleration in cm/s².