1. 第11組
教授:林穎裕
組員:杜長軒,陳莨融,鄭人豪

2. Problem Descriptions Article2/7 , rp.2/172 , pp.85
An aircraft takes off at A and climbs at a steady angle with a slope of 1 to 2 in the vertical y-z plane at a constant speed ν=400 km/h. The aircraft is tracked by radar at O. For the position B , determine the values of Ŕ , θ’, ǿ.
Ŕ ? → θ’ ? → ǿ ?

3. Solution Procedures(Ŕ?)
設直線AB與y軸夾角為β
β =arctan(1/2)=26.6 °
Ø=arctan(3/5)=31 °
Ŕ =VR=400*sin(26.6 °)*sin(31 °)=92(km/hr) Vz

4. Solution Procedures(θ’?)
Vθ=R* cos(Ø) *θ’
=>[400/3.6(m/s)]*cos(26.6 °)=500*θ’
θ’=0.1988(rad/s)

5. Solution Procedures(ǿ?)
VØ=R ǿ
=>(400/3.6)*sin(26.6°)*cos(31°)=(500/cos31°)* ǿ
ǿ=0.0731(rad/s) Vz

6. Results and Remarks Ŕ =92(km/hr)=25.5(m/s) θ’=0.1988(rad/s)