Answer :
Answer:
117.48 is the pressure inside the bottle in units of feet of water.
Explanation:
Diameter of the cork = d = 0.5 inch
Radius of the cork = 0.5 d = 0.25 inch = [tex]0.25\times 0.0254m[/tex]
1 inch = 0.0254 m
Area of the cork :
[tex]A=\pi r^2=3.14\times (0.25\times 0.0254m)^2=0.00012668 m^2[/tex]
Force on the cork , F= 10 pound-force = 44.4822 N
1 Pound Force = 4.44822 Newton
Pressure on the cork :
[tex]P=\frac{F}{A}[/tex]
[tex]=\frac{44.4822 N}{0.00012668 m^2}=351,146.98 Pa[/tex]
1 Pa = 0.00033455256555148 feet water
[tex]351,146.98 Pa=351,146.98\times 0.00033455[/tex] feet water
Pressure = 117.48 feet of water
117.48 is the pressure inside the bottle in units of feet of water.