1. What is the critical depth of flow for a trapezoidal channel with a bottom of 1.5 feet and 1.4 to 1 horizontal to vertical side slopes? The discharge is 9 cubic feet per second and the Manning number is 0.013 with a 3-foot drop over 1000 feet. Is the slope steep or mild?

Afull journal bearing has a journal diameter of 27 mm, with a unilateral tolerance of -0.028 mm. the bushing bore has a diameter of 27.028 mm and a unilateral tolerance of 0.04 mm. the l/d ratio is 0.5. the load is 1.3 kn and the journal runs at 1200 rev/min. if the average viscosity is 50 mpa-s, find the minimum film thickness, the power loss, and the side flow for the minimum clearance assembly.

Asolid cylinder is concentric with a straight pipe. the cylinder is 0.5 m long and has an outside diameter of 8 cm. the pipe has an inside diameter of 8.5 cm. the annulus between the cylinder ad the pipe contains stationary oil. the oil has a specific gravity of 0.92 and a kinematic viscosity of 5.57 x 10-4 m2/s. most nearly, what is the force needed to move the cylinder along the pipe at a constant velocity of 1 m/s?

What is the heat treatment of metals? what is the benefit of it? why and how it's useful? answer in details, do not write by hand.