You are given a sensor which can be modeled as a first-order system. The input to this sensor (the measurand) is a constant applied at t = 0. The constant input is represented by the variable C for t > 0. The initial reading of the sensor (at t = 0) is represented by the variable yi. Note; yi < C. The time constant of the sensor is given by the variable τ. Required:

Determine an expression for the 90% response time of this system.

Along 8-cm diameter steam pipe whose external surface temperature is 900c connects two buildings. the pipe is exposed to ambient air at 70c with a wind speed of 50 km/hr blowing across the pipe. determine the heat loss from the pipe per unit length. (b) air at 500c enters a section of a rectangular duct (15 cm x 20 cm) at an average velocity of 7 m/s. if the walls of the duct are maintained at 100c. a) the length of the tube for an exit temperature of the air to be 40 0c. b)the rate of heat transfer from the air. c) the fan power needed to overcome the pressure drop in this section of the duct.

Two slings are used to lift a girder of length l and uniform weight per unit length. what is the best position for the slings if the bending moment due to the weight of the girder is to be kept to a minimum?

What is the fuid acceleration in vector form for the following velocity field? note i, j, and k are unit vectors. show all of your work.