ch01-p057 - 57. (a) When is measured in radians, it is...

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the arc may be approximated as the straight line-segment of length 1 AU. First, we convert θ = 1 arcsecond to radians: () 1 arcminute 1 2 radian 1 arcsecond 60 arcsecond 60 arcminute 360 §· °π ¨¸ ° ©¹ which yields = 4.85 × 10 6 rad. Therefore, one parsec is R s o AU 4.85 10 AU. == × 1 206 10 6 5 . Now we use this to convert R = 1 AU to parsecs: R = × F H G I K J 1 1 49 10 6 AU pc 2.06 10 AU pc. 5 bg . (b) Also, since it is straightforward to figure the number of seconds in a year (about 3.16 × 10 7 s), and (for constant speeds) distance = speed × time, we have
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This note was uploaded on 09/03/2009 for the course PHYS 1200 taught by Professor Stoler during the Spring '06 term at Rensselaer Polytechnic Institute.

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