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.

Afoot bridge is made as a simple deck, 4 m long, with a cross section 2 m (wide) and 20 cm thick, and made of wood. the deck is supported at the two ends. the maximum load allowable on the bridge is 10 tons, provided it is uniformly distributed on the deck. to sense this load, a strain gauge is placed at the center of the bridge and its resistance is monitored. if the sensor has a nominal resistance of 350 s2 and a gauge factor of 3.6, what is the reading of the strain gauge at maximum load? the modulus of elasticity for the wood used in the construction is 10 gpa.