A water tower is a familiar sight in many towns. The purpose of such a tower is

Question

A water tower is a familiar sight in many towns. The purpose of such a tower is to provide storage capacity and to provide sufficient pressure in the pipes that deliver the water to customers. The drawing shows a spherical reservoir that contains 5.32 x 105 kg of water when full. The reservoir is vented to the atmosphere at the top. For a full reservoir, find the gauge pressure that the water has at the faucet in (a) house A and (b) house B. Ignore the diameter of the delivery pipes. No figure, but the distance between house A and the faucet is 15.0 m. The distance between the faucet and house B is 7.30 m

Explanation / Answer

let;s start with finding the radius of sperical tank

mass= volume x denisty = ( 4/3 pi r^3 )( 1000)

5.32 x 10^2 = ( 4.1866) r^3

r = 5.027 m apprx

PA = P atm + rho (gh) ( where h is the height from top of tank to house A = 15 + 5.027 + 5.027 = 25.05 m apprx

gauge pressure at A

PA - Patm = 1000 ( 9.8) ( 25) = 245000 Pa apprx

Let';s find the height of house B= 25 - 7.30 = 17.7 m

PB - P atm = 1000 ( 9.8) ( 17.7) =,173460 Pa apprx

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.