Physics · University
Proper time from coordinate time · formula reference
The clock moves at a constant speed between the two events; proper time is measured by that clock.
Formula
The clock moves at a constant speed between the two events; proper time is measured by that clock.
Δτ = Δt/γ
Worked example
An inertial laboratory measures 197 s between two events on a clock moving at 0.68c. What elapsed proper time does that clock record? Round the final result to 4 decimal places if needed. Answer in s.
Divide laboratory time by γ: Δτ=197√(1−0.68²).
144.4428 s
Prerequisites and checking
Algebra, calculus and the stated physical model. Keep units and rounding consistent. State the model conditions before applying the formula.
Further reading and review references
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