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## Wind Tunnel Aerodynamics Worksheet

1. The measured velocity in the rectangular test section (A) is 10 m/sec. The initial dimensions of the test section are 3 m high and 4 m wide.
1. What is the cross-sectional area (A)? ________________
2. What is the constant (V x A)? ________________
3. What cross-sectional area (A) will I need to double the velocity? ________________
4. What cross-sectional area ( A) will I need to decrease the velocity fourfold? ________________
5. What would the velocity be if I changed the dimensions to 6 m high and 4 m wide?_____________________________
6. What would the velocity be if I changed the dimensions to 5 m high and 5 m wide? _____________________________

2. Assume that the wind tunnel test section (A) is triangular. Our initial velocity is still 10 m/sec.
1. What is the formula for the area of a triangular cross-section? ________________
2. The triangular test section has a base of 5 m and a height of 4 m. What is the Area (A)? _____________________________
3. What is the constant (V x A)? _____________________________
4. What cross-sectional area (A) will I need to double the velocity? _____________________________
5. Give a base and height measurement which would result in the cross-sectional area in Problem 2d. _____________________________
6. What would the velocity be if I changed the dimensions to a base of 8 m and a height of 10 m? _____________________________

3. The fan exit section (B) is circular in shape. The initial velocity is again 10 m/sec.
1. What is the formula for the area of a circular cross section? _____________________________
2. The cross-sectional area of B is 20 sq. m. What is the radius? _____________________________
3. What is the constant (V x A)? _____________________________
4. If I rebuilt this section, what radius would be required to generate a velocity of 50 m/sec.? _____________________________

4. The cross-sectional areas of Test Section (A), Fan Exit Section (B), and Section C are 20, 60, and 100 m respectively. The velocity at B, the Fan Exit Section, is 50 m/sec.
1. What is the constant (V x A)? _______________________________________
2. What is the velocity at cross section C? _______________________________________
3. What is the velocity at Test Section A? _______________________________________