e) If the operating frequency of the transducer is modelled by :f(v) = 50 tanh(wsv – n/8 ), Provide fully explained solutions to the following: 1. The value of the frequency when v = 1 V given that ws is 0.06 rad/sec to 3 significant figures 2. The value of v when f = 43 Hz to 3 significant figures 3. Provide fully explained graphical evidence to justify your answers to part (2) 4. If a modification is made to the frequency estimation such that 0 = ws1v + t/8 is achievied by solving the following equation: 3 sinh(0) + 8 cosh(0) = 12, find ws1 which satisfies this equation given that v = 100 V. %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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e) If the operating frequency of the transducer is modelled by
:f(v) = 50 tanh(wsv – 1/8 ),
%3D
Provide fully explained solutions to the following:
1. The value of the frequency when v = 1 V given that ws is 0.06 rad/sec to 3
significant figures
2. The value of v when f = 43 Hz to 3 significant figures
3. Provide fully explained graphical evidence to justify your answers to part (2)
4. If a modification is made to the frequency estimation such that 0 = ws1v + n/8
is achievied by solving the following equation: 3 sinh(0) + 8 cosh(0) = 12, find ws1
which satisfies this equation given that v = 10 V.
Transcribed Image Text:e) If the operating frequency of the transducer is modelled by :f(v) = 50 tanh(wsv – 1/8 ), %3D Provide fully explained solutions to the following: 1. The value of the frequency when v = 1 V given that ws is 0.06 rad/sec to 3 significant figures 2. The value of v when f = 43 Hz to 3 significant figures 3. Provide fully explained graphical evidence to justify your answers to part (2) 4. If a modification is made to the frequency estimation such that 0 = ws1v + n/8 is achievied by solving the following equation: 3 sinh(0) + 8 cosh(0) = 12, find ws1 which satisfies this equation given that v = 10 V.
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