4.5 x 10kg) - (2.3 x 10 kg)
2 answers:
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Answer:
A) i) Dynamic error ≈ 3.1%
ii) phase shift ≈ -12°
B) 79971.89 rad/s
Explanation:
Given data :
Damping ratio = 0.5
natural frequency = 18,000 Hz
<u>a) Calculate the dynamic error and phase shift in accelerometer output at an impart vibration of 4500 Hz</u>
i) Dynamic error
This can be calculated using magnitude ratio formula attached below is the solution
dynamic error ≈ 3.1%
ii) phase shift
This phase shift can be calculated using frequency dependent phase shift formula
phase shift ≈ -12°
<u>B) Determine resonance frequency </u>
Wr = 2 ( 18000
) = 79971.89 rad/s
C) The maximum magnitude ratio that the system can achieve
Answer:
8.1345°
Explanation:
We apply to the wire to obtain:
#The magnitude of the magnetic force acting on the wire is given by:
#Substitute for to obtain:
Solve for :
We the substitute the numerical values to calculate the equilibrium angular displacement:
Hence, the equilibrium angular displacement of the wire from vertical if the horizontal magnetic field is 8.1345°