$($Viscosity$)$ Determine the torque required to rotate a $45\mathrm{.}3-$mm$-$diameter vertical cylinder at a constant angular velocity of $39\mathrm{.}7ra\frac{d}{s}$

inside a fixed outer cylinder that has a diameter of $45\mathrm{.}6$ mm $.$ The gap between the cylinders is filled with SAE $10$ oil at $20C.$ The length

of the inner cylinder is $151$ mm $.$ Neglect bottom effects and assume the velocity distribution in the gap is linear.

i

$N*m$

If the temperature of the oil increases to $80C,$ what will be the percentage change in the torque?

percent

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