(a) To determine the drag on the hull of a ship, a 1 50 scale model was used The model was designed to work based on Froude number criteria, while the prototype ship was planned to work with the speed of 9 25 m s If the water for the two experiments has the same properties, and negligible shear drag, find (i) At what velocity should the model be towed (3 marks) (ii) What is the drag ratio of the prototype against the model (7 marks) (b) The required power, P, to drive a fan depends upon its diameter, D, the rotational speed, , the fluid density, , and the flowrate, Q Use D, , and as repeating variables to find a set of pi terms (a) To determine the drag on the hull of a ship, a 1 50 scale model was used The model was designed to work based on Froude number criteria, while the prototype ship was planned to work with the speed of 9 25m s If the water for the two experiments has the same properties, and negligible shear drag, find (i) At what velocity should the model be towed (ii) What is the drag ratio of the prototype against the model (7 marks) (b) The required power, P, to drive a fan depends upon its diameter, D, the rotational speed, , the fluid density, , and the flowrate, Q Use D, , and as repeating variables to find a set of pi terms (15 marks)

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(a) To determine the drag on the hull of a ship, a 1/50 scale model was used. The model was designed to work based on

(a) To determine the drag on the hull of a ship, a 1/50 scale model was used. The model was designed to work based on Froude number criteria, while the prototype ship was planned to work with the speed of 9.25 m/s. If the water for the two experiments has the same properties, and negligible shear drag, find: (i) At what velocity should the model be towed? (3 marks) (ii) What is the drag ratio of the prototype against the model? (7 marks) (b) The required power, P, to drive a fan depends upon its diameter, D, the rotational speed, , the fluid density, , and the flowrate, Q. Use D, , and as repeating variables to find a set of pi terms.

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(a) To determine the drag on the hull of a ship, a 1/50 scale model was used. The model was designed to work based on Froude number criteria, while the prototype ship was planned to work with the speed of 9.25m/s. If the water for the two experiments has the same properties, and negligible shear drag, find: (i) At what velocity should the model be towed? (ii) What is the drag ratio of the prototype against the model? (7 marks) (b) The required power, P, to drive a fan depends upon its diameter, D, the rotational speed, , the fluid density, , and the flowrate, Q. Use D, , and as repeating variables to find a set of pi terms. (15 marks)