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Unformatted text preview: SOLUTION OF TUTORIAL SHEET 2 1. It’s convenient to start from H , which is dimensionless . Then Ft must have unit in radian, hence F unit is radian/second . We also see that D/kT has to be dimensionless, so D must have the same dimension as kT. It follows that D has the unit of kg m 2 s2 . A , E and G must have the same dimension, which is the same as dimension of μe D/kT . Hence, their dimension is the same as dimension of μ. The unit is kg m 2 s2 . B must have the same dimension as x, which has unit of m . ¡¢£¤ ¥ must have unit kg m 2 s2 , so the unit of C is kg1 m1 s 2 . ¦ ∬ §¨ §© must have unit of kg m 2 s2 , hence I unit has to be kg s2 . 2. The boat has to pass from A to B in a straight line (300 m) in 1 minute. This means the boat velocity relative to a nonmoving observer must be ª««¬ ®«¬¯¬ ° ± ¯ ¬ in the positive ydirection. In the positive xdirection, there are already two velocities contributing: river velocity (15 m/s) and wind velocity (10 cos(30) m/s). In order to move straight, to boat has to nullify those velocities. Hence, the boat has to move with an xdirection velocity component of ² £ ° ³ ´± µ ´¶ ·¸¹ º¶¤¤ » ¼ ° ³½º¾¿¿ » ¼ Meanwhile, in the negative ydirection, there is already a velocity contributing from the wind,...
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This note was uploaded on 12/08/2010 for the course SPMS pap111 taught by Professor Clausdieterohl during the Fall '10 term at Nanyang Technological University.
 Fall '10
 ClausDieterOhl

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