Week 9 Assignment - Nptel

Week 9 Assignment 1. Horizontal tail volume ratio is defined as

 𝑉ℎ=^𝑙𝑡𝑆_𝑆^𝑡𝑐̅

 𝑉_ℎ= ^𝑙𝑡𝑆

𝑆_𝑡𝑐̅

 𝑉_ℎ=^{𝑙𝑡𝑆𝑡}

𝑆𝑐̅

 𝑉_ℎ=^𝑆_𝑙^𝑡𝑐̅

𝑡𝑆

2. For the aircraft what is the static margin?

 𝑆𝑀 = 𝑋̅_𝑐𝑔− 𝑋̅_𝑛𝑝

 𝑆𝑀 = 𝑋̅_𝑎𝑐− 𝑋̅_𝑐𝑔

 𝑆𝑀 = 𝑋̅_𝑐𝑔− 𝑋̅_𝑎𝑐

 𝑆𝑀 = 𝑋̅_𝑛𝑝− 𝑋̅_𝑐𝑔

3. 𝐶_𝑚

0𝑡 is given by

 𝜂𝑉_ℎ𝐶_𝐿𝛼

𝑡(𝜖₀+ 𝑖_𝑤+ 𝑖_𝑡)

 𝜂𝑉_ℎ𝐶_𝐿𝛼

𝑡(𝜖₀+ 𝑖_𝑤− 𝑖_𝑡)

 𝜂𝑉_ℎ𝐶_𝐿𝛼

𝑡(1 −_𝑑𝛼^𝑑𝜖)

 𝜂𝑉_ℎ𝐶_𝐿𝛼

𝑡(1 +^𝑑𝜖

𝑑𝛼)

4. 𝑋̅_𝑛𝑝 is given by

 𝑋̅_𝑛𝑝= 𝑋̅_𝑎𝑐−^{𝐶𝑚𝛼𝑓}

𝐶_𝐿𝛼𝑤 − 𝜂𝑉_ℎ^{𝐶𝐿𝛼𝑡}

𝐶_𝐿𝛼𝑤(1 −^𝑑𝜖

𝑑𝛼)

 𝑋̅_𝑛𝑝= 𝑋̅_𝑎𝑐+^{𝐶𝑚𝛼𝑓}

𝐶_𝐿𝛼𝑤 + 𝜂𝑉_ℎ^{𝐶𝐿𝛼𝑡}

𝐶_𝐿𝛼𝑤(1 −^𝑑𝜖

𝑑𝛼)

 𝑋̅_𝑛𝑝= 𝑋̅_𝑎𝑐−^{𝐶𝑚𝛼𝑓}

𝐶_𝐿𝛼𝑤 + 𝜂𝑉_ℎ^{𝐶𝐿𝛼𝑡}

𝐶_𝐿𝛼𝑤(1 +^𝑑𝜖

𝑑𝛼)

 𝑋̅_𝑛𝑝= 𝑋̅_𝑎𝑐−^{𝐶𝑚𝛼𝑓}

𝐶_𝐿𝛼𝑤 + 𝜂𝑉_ℎ^{𝐶𝐿𝛼𝑡}

𝐶_𝐿𝛼𝑤(1 −^𝑑𝜖

𝑑𝛼)

5. What will be the value of 𝐶_𝑚0 at 𝐶_𝐿= 0 for an aircraft flying at 𝐶_{𝐿𝑡𝑟𝑖𝑚}= 0.6 and static Margin of 10 %.

 𝐶_𝑚0= 0.03

 𝐶_𝑚0= 0.06

 𝐶_𝑚0= 0.08

 𝐶𝑚0= 0.13