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Problem 2 In open channels of large width, the follow velocity at any given point within the channel is commonly assumed to be unaffected by the distance from the sides of the channel, depending only on the distance from the bottom of the channel. The velocity distribution, u(y), in an open channel of large width is commonly estimated using the following equation: u(y)=5.75gy0S0log(ks30y) where y is the distance from the bottom of the channel, y0 is the depth of flow, S0 is the slope of the channel, and ks is the height of the roughness elements on the bottom of the channel (e.g., rocks). a) Estimate the shear stress 1cm above the bottom of the channel, where the slope of the channel is 0.5%, the depth of flow is 2.5m, and the characteristics roughness height is 1 cm. b) If the average shear stress on the bed material is equal to the theoretical stress 1cm above the bottom of the channl and the critical shear stress required to move the bed material in the channel is 1N/m2, determine whether the channel is in a stable condition (e.g., will not move). Assume the temperature of the water is 20C