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A frustum-shaped body is rotating at a constant angular

Chapter 2, Problem 73P

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QUESTION:

Problem 73P

A frustum-shaped body is rotating at a constant angular speed of 200 rad/s in a container filled with SAE 10W oil at 20°C (μ = 0.1 Pa • s), as shown in Fig. P9-31. If the thickness of the oil film on all sides is 1.2 mm, determine the power required to maintain this motion. Also the determine reduction in the required power input when the oil the reduction in the required power input when the oil temperature rises to 80°C(μ = 0.0078 Pa • s)

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QUESTION:

Problem 73P

A frustum-shaped body is rotating at a constant angular speed of 200 rad/s in a container filled with SAE 10W oil at 20°C (μ = 0.1 Pa • s), as shown in Fig. P9-31. If the thickness of the oil film on all sides is 1.2 mm, determine the power required to maintain this motion. Also the determine reduction in the required power input when the oil the reduction in the required power input when the oil temperature rises to 80°C(μ = 0.0078 Pa • s)

ANSWER:

Problem 73P

Solution 73 P

Step 1 :

In this question, we need to find  power needed to maintain the motion

In the second part, we need to find reduction in input power required when the temperature rises

Data given

At Temperature ,Viscosity

Thickness of wall

At Temperature ,Viscosity

Consider the given figure

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