Determine a first-order ordinary differential equation to describe the rotating machine (consider viscous friction) as a dynamic system where the output is the angular velocity of the inertia J , , 2 w2 and the input is the motor torque, τ . Calculate the solution to this equation. Consider: τ = 1 N m, mm, mm, kg-m 2 /s, kg-m 2 /s, kg-m 2 r 5 , 1 = 2 r 00 2 = 5 b .01 1 = 0 b .1 2 = 0 J .0031 1 = 0 J 5 2 = 2 kg-m 2 . Plot the response of w (t) with three different initial conditions 2 w (0) 0, 3, 6 rad s

On a average work day more than work place firs are reorted

If a particle moves along a path such that r : (3 sin t) m and ? : 2t rad, where t is in seconds. what is the particle's acceleration in m/s in 4 seconds? a)- 16.43 b)- 16.29 c)- 15.21 d)- 13.79

Apump is used to circulate hot water in a home heating system. water enters the well-insulated pump operating at steady state at a rate of 0.42 gal/min. the inlet pressure and temperature are 14.7 lbf/in.2, and 180°f, respectively; at the exit the pressure is 60 lbf/in.2 the pump requires 1/15 hp of power input. water can be modeled as an incompressible substance with constant density of 60.58 lb/ft3 and constant specific heat of 1 btu/lb or. neglecting kinetic and potential energy effects, determine the temperature change, in °r, as the water flows through the pump.