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A person whose mass is 290lbm, determine the weight, in lbf, if g=32.92ft/s² Write the units.

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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.

User Tom Corelis
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