A trough is 12m long, 5m wide, and 3m deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 3m, and base, on top, of length 5m). The trough is full of water (density 1000kg/m³ and g = 9.8m/s² is the acceleration due to gravity). a) Find the amount of work in joules required to empty the trough by pumping the water over the top. b) Find the amount of work in joules required to empty the trough by pumping the water out of a spout 4m high.

A trough is 12m long, 5m wide, and 3m deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 3m, and base, on top, of length 5m). The trough is full of water (density 1000kg/m³ and g = 9.8m/s² is the acceleration due to gravity). a) Find the amount of work in joules required to empty the trough by pumping the water over the top. b) Find the amount of work in joules required to empty the trough by pumping the water out of a spout 4m high.

Fundamentals of Geotechnical Engineering (MindTap Course List)

5th Edition

ISBN:9781305635180

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter8: Stresses In A Soil Mass

Section: Chapter Questions

Problem 8.14P

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Groundwater Flow

The term groundwater refers to the water which is found beneath the earth's surface. Pores present in the soil and rocks with fractures make a passage for rainwater to enter the earth's surface and deposit as groundwater. The flow nature and direction of groundwater under the earth's surface directly impacts the strength and compressibility of the soil, which reflects its ability to support structural loads.

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A trough is 12m long, 5m wide, and 3m deep. The vertical cross-section of the trough parallel to an end is
shaped like an isoceles triangle (with height 3m, and base, on top, of length 5m). The trough is full of
water (density 1000kg/m³ and g = 9.8m/s² is the acceleration due to gravity).
a) Find the amount of work in joules required to empty the trough by pumping the water over the top.
b) Find the amount of work in joules required to empty the trough by pumping the water out of a spout 4m
high.

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