I need help on these questions:
a) Assuming that the pressure is uniform on each of the channel walls, determine the pressure difference between the upper and lower wall that is needed if the required net force on the two walls is 1950N pointing downward (in the negative y-direction). Use a sign convention that a positive pressure difference or gradient means the pressure at the higher y-position is higher.
The value of the pressure difference is ________ Pa.
The value of the pressure gradient across the channel is ________ Pa/m
b) Your team agree that, from experience, the average velocity of the fluid is v=55m/s Assuming that the velocity is uniform across the channel, and neglecting gravitational effects, determine the curvature R required to generate this force with this flow velocity.
Use a sign convention that a positive value indicates that the centre of the radius is above the channel, i.e. the middle of the channel is bent downwards. A negative radius indicates the middle of the channel is bent upwards.
The curvature radius R is __________ m.
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