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Exercise:
Calculate the relative deviation of the time measured by a clock moving at vO with respect to an observer from its own proper time. Solve the exercise using an approximation for the Lorentz factor.

Solution:
fracDelta ttau fract-tautau fracgamma-tautaugamma- &approx gmF fracleftfracvnccright^ resultgmS On many calculators trying to use the full expression for the time deviation gamma- gmbF yields a result of since the value of gamma is evaluated first and since it is very close to is rounded to before the subtraction.
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Exercise:
Calculate the relative deviation of the time measured by a clock moving at vO with respect to an observer from its own proper time. Solve the exercise using an approximation for the Lorentz factor.

Solution:
fracDelta ttau fract-tautau fracgamma-tautaugamma- &approx gmF fracleftfracvnccright^ resultgmS On many calculators trying to use the full expression for the time deviation gamma- gmbF yields a result of since the value of gamma is evaluated first and since it is very close to is rounded to before the subtraction.
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special relativity
Tags
time dilation
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(1, default)
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0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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