The natural frequency of a displacement sensor is 1Hz, which is used to measure a harmonic vibration with a frequency is 4Hz.The measured amplitude is 0.130cm. Find the real value of the amplitude(ignore the damping) and the relative error.
Added by Lucas G.
Close
Step 1
Calculate the natural frequency of the displacement sensor using the equation below: Show more…
Show all steps
Your feedback will help us improve your experience
Sri K and 73 other Physics 103 educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A vibration pickup has a natural frequency of $5 \mathrm{~Hz}$ and a damping ratio of $\zeta=0.5 .$ Find the lowest frequency that can be measured with a $1 \%$ error.
? Simple Harmonic Motion Find a function that models the simple harmonic motion having the given properties. Assume that the displacement is zero at time $t$ =$0$. $$ \text { amplitude } 6 \text { in., } \quad \text { frequency } 5 / \pi \mathrm{Hz} $$
Trigonometric Functions: Unit Circle Approach
Modeling Harmonic Motion
An accelerometer has a damping ratio of 0.4 and a natural frequency of 18, 000 Hz. It is used to sense the relative displacement of a beam to which it is attached. If an impact to the beam imparts a vibra tion at 4500 Hz, estimate the dynamic error and phase shift in the accelerometer output. Estimate its resonance frequency.
Sri K.
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD