Final answer:
To determine the weight in lbf, convert the mass from lbm to kg and the acceleration due to gravity from ft/s² to m/s². Then, use the formula W = mg to calculate the weight. Finally, convert the weight from N to lbf.
Step-by-step explanation:
To determine the weight, in lbf, we can use the formula W = mg, where W is the weight, m is the mass, and g is the acceleration due to gravity. In this case, the mass is given as 290 lbm, and the acceleration due to gravity is given as 32.92 ft/s². However, we need to convert the units to ensure consistency.
Converting the mass from lbm to kg using the conversion factor 1 lbm = 0.4536 kg, we get
290 lbm x 0.4536 kg/lbm = 131.868 kg.
Converting the acceleration due to gravity from ft/s² to m/s² using the conversion factor 1 ft/s² = 0.3048 m/s², we get
32.92 ft/s² x 0.3048 m/s² = 10.033 m/s².
Now, we can calculate the weight using the formula:
Weight = mass x acceleration due to gravity = 131.868 kg x 10.033 m/s² = 1321.44 N.
Finally, we can convert the weight from N to lbf using the conversion factor 1 N = 0.225 lbf:
1321.44 N x 0.225 lbf/N = 297.57 lbf.