Explanation:
As it is given that W = [tex]m \times g[/tex] = 28.9 lbf
Mass is given as 30.0 lbm
Now, calculate [tex]g_{c}[/tex] as follows.
[tex]g_{c} = \frac{weight given}{mass}[/tex]
= [tex]\frac{28.9 lbf}{30.0 lbm}[/tex]
= 0.9633 lbf/lbm
Since, it is known that 1 lbf = lbm \times [tex]32.2 ft/s^{2}[/tex]. Therefore, local gravity (g') will be calculated as follows.
[tex]0.9633 \times 32.2 ft/s^{2}[/tex]
= [tex]31.02 ft/s^{2}[/tex]
Thus, we can conclude that the value of local gravity is [tex]31.02 ft/s^{2}[/tex].