Lust CDA3000 - Page 304

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
· m²
mMass kg
M Torque Nm
M
R
Friction torque Nm
s Effective travel of friction force m
vVelocity m/s
v
1
Velocity at time t=t
1
m/s
v
2
Velocity at time t=t
2
m/s
WWork 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
--
mv
2
⋅⋅=
W
1
2
--
J ω
2
⋅⋅=
Wmgh⋅⋅=
W
1
2
--
cx
2
⋅⋅=