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  3. 1 estimate the natural frequency of the system and the...

Question: 1 estimate the natural frequency of the system and the...

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1. Estimate the natural frequency of the system, and the uncertainty in the estimate An aluminum rod of diameter 0.500 (+-0.001) inch is 25.7 (+/- 0.02) inches long. A concentrated mass of 4.70 (+/- 0.01) lb is attached to the end of the rod. Assume that the modulus of elasticity for aluminum is 107E6(+/-1%) psi. Natural frequency is EI MCl Where 64 E- modulus of elasticity of the beam material (lbf/in2), I-area moment of inertia of the beam (in4), L-cantilever length (in), M.-concentrated mass (lbm, kg, slugs, or lbf-sec2/ft) co, natural frequency (rad/sec or sec-1 2 A sensor has a transfer function of 0.5 mV/OC and an accuracy of +/-1% , used with an amplifier with a gain of 15+/-0.25 and displayed on a meter with a range of 0 to 2 V at +/-1.5% FS. What is the worst-case and rms uncertainty for the total measurement? Solution ensor Amplifier
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