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Time standards are now based on atomic clocks. Apromising second standard is bas

ID: 1748647 • Letter: T

Question

Time standards are now based on atomic clocks. Apromising second standard is based on pulsars, which are rotatingneutron stars (highly compact stars consisting only of neutrons).Some rotate at a rate that is highly stable, sending out a radiobeacon that sweeps briefly across Earth once with each rotation,like a light-house beacon. Pulsar PSR 1937 + 21 is an example, itrotates once every 1.55780644887275 ± 3 ms, where thetrailing ±3 indicates the uncertainty in the last decimalplace (it does not mean ±3 ms). How many times does itrotate in 6.50 days.What is the associateduncertainty?

Explanation / Answer

6.5 days * 24 hrs * 60 mins * 60 sec =5.616e5 sec 5.616e5 sec/1.55780644887275e -3sec= 3.605069169e8 rotations in 6.5 days since calculators round off after the 9th number, I decidedthat 5.616*105 sec/±3*1015 sec =±1.872e-10 I changed 3e-15 to 3e15 in order to findout how ±3 would effect the the amount of rotations. I am not 100% sure if this is right though the resultant seemslike a strong possibility that it could be.
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