Reference Guide

5-36 Equation Reference
Angular Motion (8, 4)
Equations:
Example:
Given: Θ 0=0_°, ω 0=0_r/min, α =1.5_r/min^2, t=30_s.
Solution: Θ =10.7430_°, ω = 0.7500_r/min.
Circular Motion (8, 5)
Equations:
Example:
Given: r=25_in, v=2500_ft/s
Solution: ω =72000_r/min, ar=3000000_ft/s^2, N=11459.1559_rpm.
Terminal Velocity (8, 6)
Equation:
Example:
Given: Cd=0.15, ρ =0.025lb/ft^3, A=100000_in^2, m=1250_lb.
Solution: v=1757.4709_ft/s.
Escape Velocity (8, 7)
Equation:
v
2 G M⋅ ⋅
R
---------------------=
Example:
Given: M=1.5E23_lb, R=5000_mi.
Solution: v=3485.1106_ft/s.
θ
θ
0
ω
0
+
t
⋅
1
2
-
--
+
α
t
2
⋅
⋅
=
θ
θ
0
ω
+
t
⋅
1
2
-
-
-
+
α
t
2
⋅
⋅
=
θ
θ
0
1
2
-
-
-
+
ω
0
ω
+
(
)
t
⋅
⋅
=
ω
ω
0
α
+
t
⋅
=
ω
v
r
-
-
-
=
a
r
v
2
r
-
-
-
-
-
=
ω
2
π
N
⋅
⋅
=
v
2
m
g
⋅
⋅
C
d
ρ
⋅
A
⋅
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
=