Engineering Guide CDA3000
A-13
Appendix A Formula bank
DE
EN
1
2
3
4
5
6
7
A
From these general equations, with
ω
2
=
ω
and
ω
1
= 0, with v
2
= v and
v1 = 0, with h
2
= h and h
1
= 0 and with x
2
= x and x
1
= 0 the following
results are produced:
c
Spring rigidity
Nm
F
R
Friction force
N
g
Acceleration due to gravity
m/s²
h
Lift height
m
h
1
Lift height at time t=t
1
m
h
2
Lift height at time t=t
2
m
J
Mass moment of inertia
kg
·
m
²
m
Mass
kg
M
Torque
Nm
M
R
Friction torque
Nm
s
Effective travel of friction force
m
v
Velocity
m/s
v
1
Velocity at time t=t
1
m/s
v
2
Velocity at time t=t
2
m/s
W
Work
Nm
x
Spring travel
m
x
1
Spring travel at time t=t
1
m
x
2
Spring travel at time t=t
2
m
α
Angle of inclination of inclined plane
deg
µ
1
Coefficient of friction for longitudinal movement
µ
r
Coefficient of friction for rotational movement
ϕ
1
Angle of revolution at time t=t
1
rad
ϕ
2
Angle of revolution at time t=t
2
rad
ω
Angular velocity
1/s
ω
1
Angular velocity at time t=t
1
1/s
ω
2
Angular velocity at time t=t
2
1/s
Kinetic energy of the translational movement
Kinetic energy of the rotational movement
Potential energy of the position
Potential energy of the fields
Table 7.12
Energy
W
1
2
--
m v
2
⋅ ⋅
=
W
1
2
--
J
ω
2
⋅ ⋅
=
W
m g h
⋅ ⋅
=
W
1
2
--
c x
2
⋅ ⋅
=
