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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 Spring '09
 abduljaba
 Frequency, Hertz, Natural Frequency, Velocity, Physical quantities, rms acceleration

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