Answer to Question #255094 in Mechanics | Relativity for Cubix

Question

What downward force is exerted on a small piston with a radius of 2.0 cm would lift a 2000.0 kg car if the large piston has a radius of 12.0 cm?

Answer 1

$\text{for small piston:}$

$r_1 = 2cm$

$S_1=\pi r_1^2= 4\pi \ cm^2$

$p_1 =\frac{F_1}{S_1}$

$\text{\text{for big piston:}}$

$g = 9.81\frac{m}{s^2}$

$m = 2000kg$

$F_2= mg = 2000*9.81=19620N$

$r_2=12cm$

$S_2= \pi r_2^2= 144\pi\ cm^2$

$p_2 = \frac{F_2}{S_2}$

$p_1= p_2$

$F_1= S_1\frac{F_2}{S_2}=4\pi*\frac{19620}{144\pi}=545N$

$\text{Answer: }545N$