Q3. A piston having a diameter of 14 cm and a length of 25 cm slides downward with a constant velocity V through a vertical hollow cylinder. The downward motion is resisted by an oil film between the piston and the hollow cylinder wall. The film thickness is 0.005 cm and the weight of the piston is 2.5 N. Assume the velocity distribution in the gap is linear. (a) (i) Determine V if the oil viscosity is 0.38 N-s/m². (ii) Based on your working from Q3(a)(i), explain one of the ways to increase the piston's velocity. (iii) Indicate in a simple sketch the direction of shear stress acting on the hollow cylinder wall.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Q3) i) and iii)

Q3.
A piston having a diameter of 14 cm and a length of 25 cm slides downward
with a constant velocity V through a vertical hollow cylinder. The downward
motion is resisted by an oil film between the piston and the hollow cylinder
wall. The film thickness is 0.005 cm and the weight of the piston is 2.5 N.
Assume the velocity distribution in the gap is linear.
(a)
(i)
Determine V if the oil viscosity is 0.38 N-s/m².
(ii)
Based on your working from Q3(a)(i), explain one of the ways to
increase the piston's velocity.
(iii)
Indicate in a simple sketch the direction of shear stress acting on the
hollow cylinder wall.
Transcribed Image Text:Q3. A piston having a diameter of 14 cm and a length of 25 cm slides downward with a constant velocity V through a vertical hollow cylinder. The downward motion is resisted by an oil film between the piston and the hollow cylinder wall. The film thickness is 0.005 cm and the weight of the piston is 2.5 N. Assume the velocity distribution in the gap is linear. (a) (i) Determine V if the oil viscosity is 0.38 N-s/m². (ii) Based on your working from Q3(a)(i), explain one of the ways to increase the piston's velocity. (iii) Indicate in a simple sketch the direction of shear stress acting on the hollow cylinder wall.
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