A horizontal rectangular channel has a discharge per unit channel width of 8.0 m2 /s. In a hydraulic jump occurring in this channel the depth before and after the jump are 0.50 m and 4.75 m respectively. Calculate the energy loss in the jump.

Energy loss ΔE = 8.08  (Approx)

Explanation:

Given:

Channel width = 8 m/s²

Before jump a1 = 0.50 m

After jump a2 = 4.75 m

Find:

Energy loss ΔE

Computation:

Energy loss ΔE = (a2 - a1)³ / 4a1a2

Energy loss ΔE = (4.75 - 0.50)³ / 4(4.75)(0.50)

Energy loss ΔE = 76.7656 / 9.5

Energy loss ΔE = 8.08  (Approx)

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2