HP 50g Graphing manual Angular Motion 8, Circular Motion 8, Terminal Velocity 8, Escape Velocity 8

Angular Motion (8, 4)

Equations:

θ = θ 0 + ω 0 ⋅ t +			1	⋅ α ⋅ t2	θ = θ 0 + ω ⋅ t +	1	⋅ α ⋅ t2
			2			2
θ = θ 0 +	1	⋅ (ω 0 + ω ) ⋅ t			ω = ω 0 + α ⋅ t
	2

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	ar =	v2	ω = 2 ⋅ π ⋅ N
		r		r

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
	Cd ⋅ ρ ⋅ A

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.

536 Equation Reference