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Problem 1 (5 marks). The figure consists of an apparatus that is one-fourth of a torus of rectangular cross section constructed of poly(methyl methacrylate). The torus is attached to a lever arm and rotates about a pivot point (reasonably). Assume the fluid is water at standard ambient conditions. • The torus details are as follows: the torus has inside and outside radii Ri and Ro, respectively. The center of the radii is at the pivot point of the lever arm. The torus is submerged in a liquid, and there will exist an unbalanced force that is exerted on the plane of dimensions hxw. To bring back the torus and lever arm back to their balanced position, a weight W is added to the weight hanger. Determine what must the weight be ([=] N) to keep the balance position. Take the following dimensions: L= 33.6 cm, h = 10.2 cm, w = 7.6 cm, d2 = 8.9 cm (tank bottom to bottom of torus), pivot to tank bottom d₁ = 31.8 cm, z = 6.05 cm. 3-D view d₁ Ro W Figure 1: Schematic of a toroidal gate. R Z - d2 FR

Problem 1 (5 marks). The figure consists of an apparatus that is one-fourth of a torus of rectangular cross section constructed of poly(methyl methacrylate). The torus is attached to a lever arm and rotates about a pivot point (reasonably). Assume the fluid is water at standard ambient conditions. • The torus details are as follows: the torus has inside and outside radii Ri and Ro, respectively. The center of the radii is at the pivot point of the lever arm. The torus is submerged in a liquid, and there will exist an unbalanced force that is exerted on the plane of dimensions hxw. To bring back the torus and lever arm back to their balanced position, a weight W is added to the weight hanger. Determine what must the weight be ([=] N) to keep the balance position. Take the following dimensions: L= 33.6 cm, h = 10.2 cm, w = 7.6 cm, d2 = 8.9 cm (tank bottom to bottom of torus), pivot to tank bottom d₁ = 31.8 cm, z = 6.05 cm. 3-D view d₁ Ro W Figure 1: Schematic of a toroidal gate. R Z - d2 FR

Understanding Business
Understanding Business
12th Edition
ISBN:9781259929434
Author:William Nickels
Publisher:William Nickels
Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment
Section: Chapter Questions
Problem 1CE
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Problem 1 (5 marks). The figure consists of an apparatus that is one-fourth of a torus of rectangular cross section constructed of poly(methyl methacrylate). The torus is attached to a lever arm and rotates about a pivot point (reasonably). Assume the fluid is water at standard ambient conditions. • The torus details are as follows: the torus has inside and outside radii Ri and Ro, respectively. The center of the radii is at the pivot point of the lever arm. The torus is submerged in a liquid, and there will exist an unbalanced force that is exerted on the plane of dimensions hxw. To bring back the torus and lever arm back to their balanced position, a weight W is added to the weight hanger. Determine what must the weight be ([=] N) to keep the balance position. Take the following dimensions: L= 33.6 cm, h = 10.2 cm, w = 7.6 cm, d2 = 8.9 cm (tank bottom to bottom of torus), pivot to tank bottom d₁ = 31.8 cm, z = 6.05 cm. 3-D view d₁ Ro W Figure 1: Schematic of a toroidal gate. R Z - d2 FR
Transcribed Image Text:Problem 1 (5 marks). The figure consists of an apparatus that is one-fourth of a torus of rectangular cross section constructed of poly(methyl methacrylate). The torus is attached to a lever arm and rotates about a pivot point (reasonably). Assume the fluid is water at standard ambient conditions. • The torus details are as follows: the torus has inside and outside radii Ri and Ro, respectively. The center of the radii is at the pivot point of the lever arm. The torus is submerged in a liquid, and there will exist an unbalanced force that is exerted on the plane of dimensions hxw. To bring back the torus and lever arm back to their balanced position, a weight W is added to the weight hanger. Determine what must the weight be ([=] N) to keep the balance position. Take the following dimensions: L= 33.6 cm, h = 10.2 cm, w = 7.6 cm, d2 = 8.9 cm (tank bottom to bottom of torus), pivot to tank bottom d₁ = 31.8 cm, z = 6.05 cm. 3-D view d₁ Ro W Figure 1: Schematic of a toroidal gate. R Z - d2 FR
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