Answer
a) $A_i=1.026\times10^{-3}m^2$
b) $W_o=3950J$
c) $d_o=5.25\times10^{-3}m$
d) $n=80$ strokes
e) $W_i=NFd=80(380N)(0.13m)=3950J=W_o$
Work Step by Step
a) $m=960kg$
$d=0.42m$
$r_o=0.09m$
$A_o=0.0254m^2$
$F_i=380N$
$F_o=F_g=mg=9408N$
$\frac{F_o}{A_o}=\frac{F_i}{A_i}$
$A_i=1.026\times10^{-3}m^2$
b) $W_o=mgh=(960kg)(9.8\frac{m}{s^2})(0.42m)=3950J$
c) $V=(0.13m)(1.026\times10^{-3}m^2)=1.33\times10^4m^3$
$d_o=\frac{V}{A_o}=5.25\times10^{-3}m$
d) $n=\frac{0.42m}{5.25\times10^{-3}m}=80$ strokes
e) $W_i=NFd=80(380N)(0.13m)=3950J=W_o$
