An airplane of mass 2180 kg located 131 km north of BYU is flying 241 km/hr in a

Question

An airplane of mass 2180 kg located 131 km north of BYU is flying 241 km/hr in an easterly direction. What is the magnitude of the angular momentum (kg m2/s) with respect to BYU? What is the direction of the angular momentum with respect to BYU? Upward Downward North South East West Something not listed above If the plane were now flying in a northeast direction (45 degrees north of east), What is the magnitude of the angular momentum (kg m2/s) with respect to BYU? What is the direction of the angular momentum with respect to BYU? Use the answers given in part (b) of this problem.

Explanation / Answer

(a) L = rmv = (131e03)(2180)(241*5/18) = 19.11e09 kg m2/s

(b) L = r x P = north x east = downward (right hand rule)

(c) L = rmvcos(45) = (131e03)(2180)(241*5/18)(0.707) = 13.52e09 kg m2/s

(d) same asnwer as (b) --> downward

 ( north component of the plane speed does not affect the direction of angular momentum

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