Determine the torque required to rotate a 49.2-mm-diameter vertical cylinder at a constant angular velocity of 24.8 rad/s inside a fixed outer cylinder that has a diameter of 50 mm. the gap between the cylinders is filled with sae 30 oil at 15.6degc. the length of the inner cylinder is 225 mm. neglect bottom effects and assume the velocity distribution in the gap is linear.

Aspherical thermocouple measurement errors a spherical thermocouple made of constantin transfer coefficient between the gas and the thermocouple is h used to measure the temperature of a gas. the heat 400 w/m2 k. calculate the maximum diameter d of the thermocouple if the thermocouple's measurement error should be w 23 within 5% of the initial temperature difference in 5 seconds. for constantin, k 8920 kg/m3, and c 410 j/kg. k.