Question
PLZ SHOW FULL WORK AND STEPS TO BE LIFE SAVER
Refer to the rope tied to the eye-bolt embedded in concrete shown below to answer problems 1 and 2. In the figure above, the rope tethers a hot-air balloon used for advertising. The resulting uplift force on the rope on a calm day is 300 pounds. The design objective is to install a 12-inch thick concrete counterweight to hold the balloon in place. Determine the exact size of a square concrete block, 12-inches thick. The design objective for a 24-inch thick concrete counterweight to hold the balloon in place changed to include a factor of safety of 5 to account for weather conditions that may change before the balloon could be taken down. Determine a reasonable size of a square concrete block, 24-inches thick to meet this new objective..
Explanation / Answer
uplift force = 300 pounds
therefore weight of the concrete block should be greater than 300 pounds
hence
mg = 300 pounds
density*voume = 300 pounds
volume = density/300
12*x^2/12^3 = 4.5/300
x = 1.469 inches
2) new dimensions
12*x^2/12^3 = (4.5/300)*5
x = 3.286 inches