A perfectly balanced plate of mass M and diameter D is supported by a steady water...

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A perfectly balanced plate of mass M and diameter D is supported by a steady water jet against the force of gravity. The water jet has density p, speed U, and diameter d. When the water jet hits the plate, it spreads out radially into a thin sheet. Assume that the plate changes the direction of the water but not the speed. (a) (3 points) Find the thickness t of the sheet at the outer edge of the plate. You may assume uniform flow. Give your answer in terms of the variables in the sketch. (b) (5 points) What must the speed U of the jet be to support the plate? Assume that the pressure is atmospheric in the incoming jet and at the edge of the plate, and that the weight of the water is negligible. (c) (1 point) If instead of water you use mercury, do you need a faster or slower jet to support the plate? Explain. A perfectly balanced plate of mass M and diameter D is supported by a steady water jet against the force of gravity. The water jet has density p, speed U, and diameter d. When the water jet hits the plate, it spreads out radially into a thin sheet. Assume that the plate changes the direction of the water but not the speed. (a) (3 points) Find the thickness t of the sheet at the outer edge of the plate. You may assume uniform flow. Give your answer in terms of the variables in the sketch. (b) (5 points) What must the speed U of the jet be to support the plate? Assume that the pressure is atmospheric in the incoming jet and at the edge of the plate, and that the weight of the water is negligible. (c) (1 point) If instead of water you use mercury, do you need a faster or slower jet to support the plate? Explain.

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a To find the thickness t of the sheet at the outer edge of the plate we can use the principle of co... View the full answer