Question: Using tUsing the information and figure below, answer Questions 1-12 about a small, single-stage experimental test. Standard figure for Earth Gravity ( g 0 )
Using tUsing the information and figure below, answer Questions 1-12 about a small, single-stage experimental test.
| Standard figure for Earth Gravity (g0) | 32.174 ft/s2 | ||
| Launch Weight (w0) | 16.0 lbf | ||
| Useful Propellant Weight (wp) | 1.5 lbf | ||
| Effective Specific Impulse (Is) | 136 s | ||
| Launch Angle () Relative to Horizon | 65 | ||
| Burn Time with Constant Thrust (tp) | 2.2 s |
- Calculate the thrust (F) produced by this rocket during its powered flight stage. (3 Points)
F = (w0 + wp)*g0/Is = (16. 0 lbf + 1. 5 lbf)*32. 174 ft/s2/136 s = 24. 70 lbf
- Calculate the initial accelerations along the (a) y-vertical (a0)y and (b) x-horizontal (a0)xthe directions during powered flight. (3 Points per Part)
a0x = F*cos() = 24. 70 lbf*cos(65) = 8. 143 ft/s2; a0y = F*sin() = 24. 70 lbf*sin(65) = 21. 91 ft/s2
- Calculate the final acceleration (a0) at thrust termination. (3 Points)
3. a0 = F/By = 24. 70 lbf/By = 24. 70 lbf/2. 2 bf/s2 = 11. 23 ft/s2
- Calculate the exhaust gas velocity (c) for this rocket. (3 Points)
- Calculate the (a) vertical and (b) horizontal components of the velocity (up) at thrust termination. (3 Points per Part)
- Determine the trajectory angle with the horizontal at thrust termination. (4 Points)
- What is the final acceleration (af) based on the final mass of the rocket? (4 Points)
- Determine the (a) vertical (yp) and (b) horizontal (xp) components of the distance traveled during Powered flight for this rocket. Note: This calculation in the Example is incorrect. (3 Points per Part)
- Calculate (a) theUnpoweredportion (from Power off to Zenith) of the height gained or (yz yp) and (b) the total, orZenithheight (yz) for this test flight. (2 Points per Part)
- Calculate (a) the time (tz) it takes for the rocket to descend from Zenith back to the ground and (b) the final vertical (impact) velocity (uf)yfor the rocket. (2 Points per Part)
- What is (a) the free-flight time from thrust cutoff (ttc-z) to Zenith and (b) the total free-flight time (tff)? (2 Points per Part)
- What is the total horizontal distance (x) covered by this rocket launch? (3 Points)he information and figure below, answer Questions 1-12 about a small
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