The Manning equation for a rectangular open channel can be expressed as follow, √S (BH) 5/3 n (B + 2H)2/3 Q Where Q is the volume flow rate [m³/s], S is the slope [m/m], H is depth [m], and n is the Manning roughness coefficient. Determine the depth H, for Q = 5, S = 0.0002, B = 20, and n = 0.03. Use Newton-Raphson method with an initial guess of 1m and perform three iterations. Find the number of significant digits at least correct at the end of each iteration.
The Manning equation for a rectangular open channel can be expressed as follow, √S (BH) 5/3 n (B + 2H)2/3 Q Where Q is the volume flow rate [m³/s], S is the slope [m/m], H is depth [m], and n is the Manning roughness coefficient. Determine the depth H, for Q = 5, S = 0.0002, B = 20, and n = 0.03. Use Newton-Raphson method with an initial guess of 1m and perform three iterations. Find the number of significant digits at least correct at the end of each iteration.
Question
![The Manning equation for a rectangular open channel can be expressed as follow,
√S (BH) 5/3
n (B + 2H)2/3
Q
Where Q is the volume flow rate [m³/s], S is the slope [m/m], H is depth [m], and n is the
Manning roughness coefficient. Determine the depth H, for Q = 5, S = 0.0002, B = 20,
and n = 0.03. Use Newton-Raphson method with an initial guess of 1m and perform
three iterations. Find the number of significant digits at least correct at the end of each
iteration.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5061c87f-2760-4a8b-94f9-f5ffb73498eb%2Fa4aeb934-b63d-457d-b41d-992ae6b16d99%2Fbowul9o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The Manning equation for a rectangular open channel can be expressed as follow,
√S (BH) 5/3
n (B + 2H)2/3
Q
Where Q is the volume flow rate [m³/s], S is the slope [m/m], H is depth [m], and n is the
Manning roughness coefficient. Determine the depth H, for Q = 5, S = 0.0002, B = 20,
and n = 0.03. Use Newton-Raphson method with an initial guess of 1m and perform
three iterations. Find the number of significant digits at least correct at the end of each
iteration.
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