A gate which is a quarter of circle of radius 4.0 m holds back 2.0 m of fresh water as shown in the diagram given below. Calculate the magnitude of the hydrostatic force on a unit length of the gate. Show all your workings. (Remember: Area of a sector = [r² Ꮎ ° 360° -).

A gate which is a quarter of circle of radius 4.0 m holds back 2.0 m of fresh water as shown in the diagram given below. Calculate the magnitude of the hydrostatic force on a unit length of the gate. Show all your workings. (Remember: Area of a sector = [r² Ꮎ ° 360° -).

Fundamentals of Geotechnical Engineering (MindTap Course List)

5th Edition

ISBN:9781305635180

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter7: Seepage

Section: Chapter Questions

Problem 7.1P

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Concept explainers

Pressurized pipe flow

A 15-kilometer-long pipe with a pipe diameter of one meter transports water at a speed of one meter per second. The pipe has a friction coefficient of 0.005. Calculate the frictional head loss?

Question

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Thank you

A gate which is a quarter of circle of radius 4.0 m holds back 2.0 m of fresh water as
shown in the diagram given below. Calculate the magnitude of the hydrostatic force
on a unit length of the gate. Show all your workings.
(Remember: Area of a sector = r².
Ꮎ °
360°
2.0 m
Gate
-).
A
r = 4.0
B
Air

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Step 1: Given data,

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Step 3: Calculation of Resultant forces on gate.

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