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Lоng Questiоn 3 Prоblem StаtementHere is а very simplistic model of а (rear-wheel drive) electric car run by a dc motor.The armature resistance of the motor is R = 1 Ohm, the armature inductance is about 0, the motor torque and back emf constants are both K = 10 , and the rotational inertia of the motor’s armature is 0. The total mass of the car is M = 1000 kg and the car moves in the air with linear air drag cv, where c = 2.When you apply the voltage V to the motor, it provides a motor torque Tm and motor angular speed wm to the input of the transmission. The transmission then delivers the torque Tw and speed ww to the rear wheels. The gear ratio of the (very light & frictionless) transmission is G = 5 . Assume the wheels too are very light and have radius r = 0.25 m, and don’t slip on the road. (All units are SI)Your Objective (4 points) Write the equation relating motor voltage to motor torque and motor angular speed: V= a*Tm + b*wm. Write this equation with numerical values of a and b filled in. And show steps leading to those values. (2 points) Transmission equation relating motor torque to total force on the rear wheels from ground:F = d*Tm. Write this equation with numerical value of d filled in. And show steps leading to that value. (2 points) Transmission equation relating motor speed to car speed:wm = e*v. Write this equation with numerical value of e filled in. And show steps leading to that value. (4 points) Equation of motion of the car:F = f*v + g*vdot. Write this equation with numerical values of f and g filled in. And show steps leading to those values. (8 points) A block diagram showing all these equations graphically. The input of the block diagram should be voltage V and output should be car speed v. I don't need a reduced TF from V to v, I just need the block diagram. You are welcome to use symbols a, b, d, e, f, g, etc. in the diagram, if you are worried your values may not be correct from the previous parts.Clearly label all the signals (lines, wires) and summation junctions. Clearly put proper TFs in each block needed in the diagram. HintsSpeed v of the car, assuming no slipping of the wheel, is related to angular speed of the ww and radius of the wheels as: v=rww.In going from the motor to the wheels through the transmission, while the torque increases by a factor of G (assuming no friction and massless gears), the angular speed decreases by the same factor G. Procedure Work neatly on paper showing FBD, needed equations, algebra, diagrams, etc.Neat + clean + organized = extra credit! Then show your papers to camera for academic integrity. Then type things below. After exam, submit your work as a pdf on canvas. You may get some partial credit if it applies. Type Below (Very Important) Nothing!