17
Appendix B – Conversions and formulae
A
V
D
F
ACCELERATION
m/s²
g
in/s²
ft/s²
1
0.102
39.37
3.281
9.807
1
386.1
32.17
0.0254
0.00259
1
0.08333
0.3048
0.03108
12
1
VELOCITY
mm/s
m/s
in/s
ft/s
1
0.001
0.03937 0.003281
1000
1
39.37
3.281
25.4
0.0254
1
0.08333
304.8
0.3048
12
1
DISPLACEMENT
µm
mm
mils
in
1
0.001
0.03937 0.0000394
1000
1
39.37
0.03937
0.0254 0.0000254
1
0.001
25400
25.4
1000
1
FREQUENCY
Hz
CPS
RPM
CPM
1
1
60
60
1
1
60
60
0.01667
0.01667
1
1
0.01667
0.01667
1
1
𝐀
=
𝐕
.
𝟐𝛑𝐅
=
𝐃
. (
𝟐𝛑𝐅
)²
m/s² m/s
m
Hz
𝐀
=
𝐕
.
𝟐𝛑𝐅
𝟏𝟎𝟎𝟎
=
𝐃
. (
𝟐𝛑𝐅
)²
𝟏𝟎𝟎𝟎𝟎𝟎𝟎
m/s² mm/s µm
Hz
𝐀
=
𝐕
.
𝟐𝛑𝐅
𝟗𝟖𝟎𝟕
=
𝐃
. (
𝟐𝛑𝐅
)²
𝟗𝟖𝟎𝟔𝟔𝟓𝟎
g mm/s µm
Hz
𝐕
=
𝐀
𝟐𝛑𝐅
=
𝐃
.
𝟐𝛑𝐅
m/s² m/s
m
Hz
𝐕
=
𝟏𝟎𝟎𝟎
.
𝐀
𝟐𝛑𝐅
=
𝐃
.
𝟐𝛑𝐅
𝟏𝟎𝟎𝟎
m/s² mm/s µm
Hz
𝐕
=
𝟗𝟖𝟎𝟕
.
𝐀
𝟐𝛑𝐅
=
𝐃
.
𝟐𝛑𝐅
𝟏𝟎𝟎𝟎
g mm/s µm
Hz
𝐃
=
𝐀
(
𝟐𝛑𝐅
)²
=
𝐕
𝟐𝛑𝐅
m/s² m/s
m
Hz
𝐃
=
𝟏𝟎𝟎𝟎𝟎𝟎𝟎
.
𝐀
(
𝟐𝛑𝐅
)²
=
𝟏𝟎𝟎𝟎
.
𝐕
𝟐𝛑𝐅
m/s² mm/s µm
Hz
𝐃
=
𝟗𝟖𝟎𝟔𝟔𝟓𝟎
.
𝐀
(
𝟐𝛑𝐅
)²
=
𝟏𝟎𝟎𝟎
.
𝐕
𝟐𝛑𝐅
g mm/s µm
Hz
Where:
A = Acceleration
V = Velocity
D = Displacement
F = Frequency
Waveform
RMS value
Crest factor
Sine wave
𝟏
√𝟐
≈ 𝟎
.
𝟕𝟎𝟕
√𝟐 ≈ 𝟏
.
𝟒𝟏𝟒
Triangle wave
𝟏
√𝟑
≈ 𝟎
.
𝟓𝟕𝟕
√𝟑 ≈ 𝟏
.
𝟕𝟑𝟐
Sawtooth wave
𝟏
√𝟑
≈ 𝟎
.
𝟓𝟕𝟕
√𝟑 ≈ 𝟏
.
𝟕𝟑𝟐
Square wave
1
1
Where: Peak-peak = 1