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# Time Dilation and Length Contraction

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## Ashley McIlvena

on 22 January 2013

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#### Transcript of Time Dilation and Length Contraction

By: Ashley McIlvena, Viktoriya Prykhodko, Victor Velechovsky & Nick Biancofiore Time Dilation and Length Contraction Time Dilation The change in the rate of time passes as an object approaches the speed of light. Equations A drummer orbiting Earth is playing a beat at 95 beats per minute and travelling at 0.9c. How fast will the music appear to a listener standing on Earth? Length Contraction Equations Proper length: the rest length or length measured in a reference frame in which the observed object is at rest.
Relativistic length: the length measured in a reference frame in which the observed object is moving at speed close to the speed of light. Jasper's version Zoe's Version Example Answer:
41 beats per minute Example An alien named Mr. Schmidt is moving in geostationary orbit with the Earth in a UFO that is 200m is length. Suddenly, he flies toward the surface of the Earth at a speed 0.95c. What is the contracted length of his UFO according to an observer on Earth? Answer:
62m proper time relativistic time proper length realtivistic length Relativistic time: time interval measured in a frame of reference where beginning and end of experiment occur at two different points in space

Proper time: time interval measured in a frame of reference where beginning and end of experiment occur at the same point in space The Lorenz Factor An interesting fact about time dilation Time and space are elastic and the gravity warps space itself