- Question 1 15 Marks Figure 1 Shows A Hot Air Balloon Being Secured By Three Ropes Ab Ac Ad On The Ground Before Tak 1 (212.26 KiB) Viewed 25 times
- Question 1 15 Marks Figure 1 Shows A Hot Air Balloon Being Secured By Three Ropes Ab Ac Ad On The Ground Before Tak 2 (187.98 KiB) Viewed 25 times
QUESTION 1 [15 MARKS] Figure 1 shows a hot air balloon being secured by three ropes AB, AC & AD on the ground before taking off for the rides over the skies of Cappadocia, Turkey. (a) Determine the tension of ropes AB, AC & AD when the burners inject a flame, heating the air within the balloon envelope, giving a vertical force of 1.8 kN and elevating the balloon to the height H=17 m from the ground. Assume all ropes are in tension and are in equilibrium conditions. [10 Marks] [CO1, PO1, C3] (b) The burners that inject a flame into the balloon envelope are fueled by propane, a liquified gas stored in pressure vessels. After 3 hours of securing from the ground, the propane slowly runs out of gas that leaves the balloon with the vertical force of 800 N. If all ropes AB, AC & AD are in equilibrium, suggest the new elevation H from the ground using try and error method. Given the angle 8 between rope AC a AD is within 50° <0<60°. [5 Marks] [CO1, PO1, C5]
B 4.20 m 2.40 m 4.20 m Figure 1 Hm 3.30 m X K