Linear Mechanics (4, 1) - HP 48gII Advanced User's Reference Manual

Variable
A
ar
at
Cd
E
F
I
k
Ki,Kf
m, m1, m2
N
Ni, Nf
P
Pavg
r
t
v
vf, v1f, v2f
vi, v1i
W
x
Reference: 3.

Linear Mechanics (4, 1)

Equations:
1
-- - m vi
F = m a Ki =
2
W = Kf Ki – P = F v
Example:
Given: t=10_s, m=50_lb, a=12.5_ft/s^2, vi=0_ft/s.
Solution: vf=125_ft/s, x=625_ft, F=19.4256_lbf, Ki=0_ft lbf, Kf=12140.9961_ft lbf, W=12140.9961_ft lbf,
Pavg=2.2075_hp.
5-22 Equation Reference
Description
Projected area relative to flow
Centripetal acceleration at r
Tangential acceleration at r
Drag coefficient
Energy
Force at r or x, or Spring force (Hooke's Law), or attractive
force (Law of Gravitation), or Drag force (Drag force)
Moment of inertia
Spring constant
Initial and final kinetic energies
Mass
Rotational speed
Initial and final rotational speeds
Instantaneous power
Average power
Radius from rotation axis, or
Separation distance (Law of Gravitation)
Time
Velocity
Final velocity
Initial velocity
Work
Displacement
1
2 2
-- - m vf
Kf =
2
W
Pavg = ---- -
t
W = F x
vf = vi + a t