Solid Geometry (12); Cone (12, 1) - HP 48gII Advanced User's Reference Manual

Solid Geometry (12)

Variable Description
A
Total surface area
b
Base length
d
Distance to rotation axis in z direction
Height in z direction (Cone, Cylinder), or
h
Height in y direction (Parallelepiped)
I, Ixx
Moment of inertia about x axis
Id
Moment of inertia in x direction at d
Izz
Moment of inertia about z axis
m
Mass
r
Radius
t
Thickness in z direction
V
Volume
Reference: 4.

Cone (12, 1)

Equations:
2
V = -- - r h
3
3
2
Ixx = ----- - m r
20
Example:
Given: r=7_cm, h=12.5_cm, m=12.25_kg, d=3.5_cm.
Solution: V=641.4085_cm^3, A=468.9953_cm^2, Izz=0.0162_kg m^2, Izz=0.0180_ kg m^2,
Id=0.0312_ kg m^2.
2
A = r + r
3
3
2
----- - m r
Izz =
+ ----- - m h
10
80
2
Id = Ixx + m d
2 2
r + h
2
Equation Reference 5-47