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CordPulleyRH

Question

A concentric cylinder viscometer may be formed by rotating the inner member of a pair of closely fitting cylinders. The annular gap is small so that a linear velocity profile will exist in the liquid sample. Consider a viscometer with an inner cylinder diameter of 4 in, a height of 8 in, and a clearance gap width of 0.001 in, filled with castor oil at 90 oF. Determine the torque (in lbf×ft) require to turn the inner cylinder at 400 rpm. The dynamic viscosity of the caster oil is 0.0079 lbf×s /ft2.

Cord
Pulley
R
H
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Cord Pulley R H

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check_circleAnswer
Step 1

Write the expression of torque.

 

T rF
T r(A)
( 2πΡ )
T=r μ
ro
(27rή)
T ru
2πμγωn
Τ=
t
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T rF T r(A) ( 2πΡ ) T=r μ ro (27rή) T ru 2πμγωn Τ= t

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Step 2

Determine the torque required to turn the in...

1 ft
400 грm
2T
1 ft
2(0.0079lbf s/t2 2 in.
12 in
8in
12 in
60
T =
1 ft
0.001 in
12 in
T 77.4 lbf ft
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1 ft 400 грm 2T 1 ft 2(0.0079lbf s/t2 2 in. 12 in 8in 12 in 60 T = 1 ft 0.001 in 12 in T 77.4 lbf ft

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Mechanical Engineering

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