a fly beats its wings at a frequency of 1200 Hz. if the expansion and contractio
ID: 2115535 • Letter: A
Question
a fly beats its wings at a frequency of 1200 Hz. if the expansion and contraction of the wing muscles of the fly exhibits simple harmonic motion, the angular displacement of each wing of the fly also exhibits simple harmonic motion, the length of the wing muscles varies from 750 micrometers to 600 micrometers over the course of one beat of its 1.00 cm long wings and the wing tips move through an arc of 150 degrees then
A. what is the time period of a single beat of the flys wings?
B.what is the maximum velocity of the mobile end of the wing muscle?
C. what is the maximum angular velocity of the wings?
D. what is the maximum speed of the wingtip?
PLEASE SHOW WORK
THANK YOU
Explanation / Answer
time period = 1/f = 1/1200 = 8.33 x 10^-4 s
max velocity in SHM = Aw
A = amplitude
w = angular frequency
A = 750-600 = 150 x 10^-6 m
w = 2 pi f = 2 x 3.14 x 1200 = 7539.82
max velocity = 150 x 10^-6 x 7539.82 = 1.1309 m/s
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