Oliver Queen was on the remote island of Lian Yu living his weekends off and learned how to string up and use a bow to hunt animals on the island. One such hunt left his index finger hurt. As he pulled the arrow to hunt a deer, he knew too late that his bow was drawn at a wrong angle, creating a node and an antinode on his 110-cm nylon bowstring vibrating at 45 cm/s. He judged, based on the cut on his index finger, that he pulled the bowstring at 25% length from the bow's left base (the upper curve of the bow). The bowstring has an amplitude of 30 cm. 1. what is the bowstrings angular frequecy? a. atleast 2.63Hz b. atleast 2.61Hz c. atleast 2.57Hz d.atleast 2.59Hz 2. what is the rate (ie wave acceleration) of the bowstrings vibration? a. 198.743cm/s2, parallel with the vectors direction b. 743 cm/s2, opposite the vectors direction c. 742 cm/s2, opposite the vectors direction d. 742 cm/s2, parallel with the vectors direction 3. What is the bowstrings wave frequency at that condition? a. approximately 0.41Hz b. approximately 0.39Hz c. approximately 0.45Hz d. approximately 0.43Hz
Read the given case scenario carefully and answer each item by choosing the correct answer.
Oliver Queen was on the remote island of Lian Yu living his weekends off and learned how to string up and use a bow to hunt animals on the island. One such hunt left his index finger hurt. As he pulled the arrow to hunt a deer, he knew too late that his bow was drawn at a wrong angle, creating a node and an antinode on his 110-cm nylon bowstring vibrating at 45 cm/s. He judged, based on the cut on his index finger, that he pulled the bowstring at 25% length from the bow's left base (the upper curve of the bow). The bowstring has an amplitude of 30 cm.
1. what is the bowstrings angular frequecy?
a. atleast 2.63Hz
b. atleast 2.61Hz
c. atleast 2.57Hz
d.atleast 2.59Hz
2. what is the rate (ie wave acceleration) of the bowstrings vibration?
a. 198.743cm/s2, parallel with the vectors direction
b. 743 cm/s2, opposite the vectors direction
c. 742 cm/s2, opposite the vectors direction
d. 742 cm/s2, parallel with the vectors direction
3. What is the bowstrings wave frequency at that condition?
a. approximately 0.41Hz
b. approximately 0.39Hz
c. approximately 0.45Hz
d. approximately 0.43Hz
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