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The speed of light in a vacuum is exactly c 299792458 meters per second and an i

ID: 3201343 • Letter: T

Question

The speed of light in a vacuum is exactly c 299792458 meters per second and an international yard is exactly 0.9144 meters. A commonly used approximation for the speed of light is 186,000 miles per second. a. Calculate the relative error in approximating with 186,000 miles per second. Converting this approximation to meters per second, the percent relative error is percent. b. Acommonly used factor for converting measurements in inches to to centimeters is 2.54 centimeters per inch. The relative emcrin using this approximation is

Explanation / Answer

186000 miles per second = 299337984 meters per second

the percent relative error is 299337984/299792458= 0.998484 percent.

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