#61 and #63 Find the hydrostatic force described in each of Exercises 61-69. The

Question

#61 and #63

Find the hydrostatic force described in each of Exercises 61-69. The hydrostatic force on the bottom of a full cylindrical water glass with a radius of 2 inches and a height of 7 inches. The hydrostatic force on the bottom of a full cylindrical beer stein with a radius of 6 centimeters and a height of 20 centimeters. You may assume that the weight-density of beer is the same as for water. The hydrostatic force exerted on one of the long sides of a giant rectangular hot tub that is 5 feet wide, 8 feet long, and 3 feet deep.

Explanation / Answer

61) We know that Pressure, P=gd, where =density fo the fluid and g is the gravitational acceleration and d is the depth.

For water we have, =1000 kg/m^3, g=9.81 m/s^2,

Given that d=7 inches=7*0.0254= 0.1778 m

Then, P=1000*9.81*0.1778=1744.218

and the area of the base A=*r^2=*(2*0.0254)^2=0.00810731966556

Then the total Hydrostatic force on the bottom of the cylinder is

F=PA=1744.218*0.00810731966556=14.14093289 N

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