Angular Motion (8, 4)
Equations:
θ = θ 0 + ω 0 | 1 | ⋅ α ⋅ t | 2 | θ | 1 | ⋅ α ⋅ t | 2 | |
⋅ t + |
| = θ 0 + ω ⋅ t + |
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θ = θ 0 + |
| ω = ω 0 + α ⋅ t |
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Example:
Given: Θ 0=0_°, ω0=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:
ω | v | v2 | ω = 2 ⋅ π ⋅ N |
= | ar = | ||
| r | r |
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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:
v = | 2 ⋅ m ⋅ g |
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 = | |
| R |
Example:
Given: M=1.5E23_lb, R=5000_mi.
Solution: v=3485.1106_ft/s.