SolSec 5.1 - 5Problems and Solutions Section 5.1 (5.1...

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5- 1 Problems and Solutions Section 5.1 (5.1 through 5.5) 5.1 Using the nomograph of Figure P5.1, determine the frequency range of vibration for which a machine oscillation remains at a satisfactory level under rms acceleration of 1 g . Solution: An rms acceleration of 1 g is about 9.81 m/s 2 . From Figure 5.1, a satisfactory level would occur at frequencies above 650 Hz. 5.2 Using the nomograph of Figure P5.1, determine the frequency range of vibration for which a structure's rms acceleration will not cause wall damage if vibrating with an rms displacement of 1 mm or less. Solution: From Figure 5.1, an rms displacement of 1 mm (1000 µ m) would not cause wall damage at frequencies below 3.2 Hz. 5.3 What natural frequency must a hand drill have if its vibration must be limited to a minimum rms displacement of 10 µ m and rms acceleration of 0.1 m/s 2 ? What rms velocity will the drill have? Solution: From Figure 5.1, the natural frequency would be about 15.8 Hz or 99.6 rad/s. The rms velocity would be 1 mm/s.
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SolSec 5.1 - 5Problems and Solutions Section 5.1 (5.1...

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