A separately excited dc motor has the following constants: Armature resistance, R = 0.5Ω Armature Inductance Negligible Torque constant, 2 Nm/A Voltage constant, 1 Vs/rad Total moment of inertia of load and armature, J = 8 kgm² The load is pure inertia The motor armature is connected to a source of 110 V at t = 0 (a) Derive an expression, with numerical values for the speed in radians per second as a function of time. Sketch the curve.