Motor sizing

DC motor

• Mass of the shaft(m) = 90 grams = 0.09 kgs

• Radius of the shaft(r) = 0.75 cm

• Co efficient of friction between nylon rod and foam sheet = 0.06

• Factor of safety(f) = 1.5

• Acceleration due to gravity = 9.8m/s^2 = 980cm/s^2

• FORCE(F) = W * 0.06

    = m * g * 0.06
  
    = 0.09 * 980 * 0.06
  
    = 5.292 N
  

• TORQUE = F * f * r

     = 5.292 * 1.5 * 0.75
                                
     =  5.9535 kgcm
  

As the value of Rated Torque is 5.9535 kgcm

We use 30 rpm dc geared motor.

Servo motor

Mass(m) = 5gm

perpendicular distance(r) = 15 cm

Acceleration =9.8 m/s^2

Force(F) = mg =59.8 =49 N factor of saftey(f) =1.5 Torque = Frf = 4915*1.5 = 1102 g-cm = 1.102 Kg-cm

Battery Sizing

Maximum current consumed by the dc motor = 300 mA.

Battery capacity = (Maximum current consumption) * (No. of working hours)

             = (300)*(2)+(170)*(3)
             =1110 mAH.

As we require 2 DC motors and 3 servo motors,

Battery Capacity = 1110 mAH

Sl no	Motor Type	No of motors	Torque in kg-cm	RPM	Current Consumption	Voltage required
1.	DC Motor	2	5.9535 kgcm	30	300 mA	12 V
2.	Servo motor	3	1.102 Kg-cm		170 mA	12 V

We are using the Battery of 12 Volt

Motor	Purpose
DC Motor	Movement of conveyer and ball
Servo Motor	Slot opening