1. Determine the relationship between , and for this particular apparatus based on these...

1. Determine the relationship between θ, ω and μ for this particular apparatus based on these data, with the aid of dimensional analysis.

2. Plot the data using appropriate dimensionless parameters, and determine the equation of the resulting curve using a standard curve-fitting technique. The equation should satisfy the condition that θ = 0, ω = 0
  

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The concentric cylinder device of the type shown in Figure 1a is commonly used to measure the viscosity, u, of liquids by relating the angle of twist, 0, of the inner cylinder to the angular velocity, o, of the outer cylinder. As in Figure 1b assume that 0 = f (@,µ,K,D,,D,,1) where K depends on the suspending wire properties and has the dimensions FL. The following data were obtained in a series of tests for which µ = 0.0488 kg.s/m2, K= 14.9 N.m, 1 = 0.304 m and D, an D2 are constant O (rad) @ (rad/s) 0.30 0.89 1.5 0.5 2.51 0.82 3.05 1.05 4.28 1.43 5.52 1.86 6.40 2.14 The concentric cylinder device of the type shown in Figure 1a is commonly used to measure the viscosity, u, of liquids by relating the angle of twist, 0, of the inner cylinder to the angular velocity, o, of the outer cylinder. As in Figure 1b assume that 0 = f (@,µ,K,D,,D,,1) where K depends on the suspending wire properties and has the dimensions FL. The following data were obtained in a series of tests for which µ = 0.0488 kg.s/m2, K= 14.9 N.m, 1 = 0.304 m and D, an D2 are constant O (rad) @ (rad/s) 0.30 0.89 1.5 0.5 2.51 0.82 3.05 1.05 4.28 1.43 5.52 1.86 6.40 2.14