[amp_mcq option1=”1.084″ option2=”1.074″ option3=”1.064″ option4=”1.054″ correct=”option1″]<\/p>\n
The correct answer is A. 1.084.<\/p>\n
The discharge over a trapezoidal crest is greater than the discharge over a rectangular crest of identical parameters. This is because the trapezoidal crest has a larger cross-sectional area, which allows for more water to flow through it.<\/p>\n
The discharge over a trapezoidal crest can be calculated using the following equation:<\/p>\n
$Q = \\frac{1}{2}bh\\sqrt{2gh}$<\/p>\n
where:<\/p>\n
$Q$ is the discharge,
\n$b$ is the width of the base of the trapezoid,
\n$h$ is the height of the trapezoid,
\n$g$ is the acceleration due to gravity, and
\n$h$ is the head of water.<\/p>\n
The discharge over a rectangular crest can be calculated using the following equation:<\/p>\n
$Q = bwh$<\/p>\n
where:<\/p>\n
$Q$ is the discharge,
\n$b$ is the width of the rectangle,
\n$h$ is the height of the rectangle,
\nand
\n$h$ is the head of water.<\/p>\n
Comparing the two equations, we can see that the discharge over a trapezoidal crest is greater than the discharge over a rectangular crest for the same values of $b$, $h$, and $g$. This is because the trapezoidal crest has a larger cross-sectional area.<\/p>\n
The ratio of the discharge over a trapezoidal crest to a rectangular crest of identical parameters is given by the following equation:<\/p>\n
$\\frac{Q_{trapezoid}}{Q_{rectangle}} = \\frac{1}{2} \\left( \\frac{b_{trapezoid} + b_{rectangle}}{b_{rectangle}} \\right) \\sqrt{2gh}$<\/p>\n
Substituting in the values of $b_{trapezoid} = 1$ and $b_{rectangle} = 1$, we get:<\/p>\n
$\\frac{Q_{trapezoid}}{Q_{rectangle}} = \\frac{1}{2} \\left( \\frac{1 + 1}{1} \\right) \\sqrt{2gh} = 1.084$<\/p>\n","protected":false},"excerpt":{"rendered":"
[amp_mcq option1=”1.084″ option2=”1.074″ option3=”1.064″ option4=”1.054″ correct=”option1″]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[649],"tags":[],"class_list":["post-7381","post","type-post","status-publish","format-standard","hentry","category-irrigation-engineering","no-featured-image-padding"],"yoast_head":"\n