Answer:5.8
Step-by-step explanation:
Given
weight of chair with person on it =2118 N
Barber applies a force of 63 N
Using pascal's law
we know pressure around both sides is equal
i.e. [tex]P_{chair}=P_{piston}[/tex]
pressure=[tex]\frac{force}{area}[/tex]
[tex]P_{chair}[/tex]=[tex]\frac{2118}{\pi \dot r_{plunger}^2}[/tex]
[tex]P_{piston}[/tex]=[tex]\frac{63}{\pi \dot r_{piston}^2}[/tex]
substituting values
[tex]\left [\frac{r_{plunger}^2}{r_{piston}^2}\right ][/tex]=[tex]\frac{2118}{63}[/tex]
[tex]\left [\frac{r_{plunger}}{r_{piston}}\right ][/tex]=[tex]\left [ \frac{2118}{63}\right ]^{0.5}[/tex]
[tex]\left [\frac{r_{plunger}}{r_{piston}}\right ][/tex]=5.798
