Overall performance calculation.
To determine if the 24 servos in our Generation 8 Robotic Facehugger System can provide sufficient torque, we need to calculate the torque requirements for each finger, considering the distribution of weight and the lengths of the distal and proximal phalanges.
Here’s a step-by-step breakdown:
Weight Distribution:
Total weight: 1.5 kg
Weight of each finger: 85 g (0.085 kg)
Number of fingers: 8
Total weight of fingers: 8 × 0.085kg = 0.68kg
Weight of the body: 1.5kg − 0.68 kg = 0.82kg
Weight Per Servo:
Each finger has 3 servos, so each servo supports a portion of the finger’s weight and the force applied due to the finger’s movement.
Weight per finger segment: 0.085kg
Force due to gravity for each finger: F = 0.085kg × 9.81 m/s2 = 0.83385nf
Torque Calculation for Each finger Segment:
Distal phalange length: 153mm (0.153 m)
Proximal phalange length: 104mm (0.104 m)
Torque for Each Servo in the finger:
Distal Phalange Servo Torque Calculation:
The torque τ required by the distal phalange servo:
τdistal = F × distal = 0.83385n × 0.153m = 0.12758Nm = 1.30 kg/cm
Proximal Phalange Servo Torque Calculation:
The torque τ required by the proximal phalange servo:
τproximal = F × proximal = 0.83385n × 0.104m = 0.08672Nm = 0.88 kg/cm
Comparing with Servo Capability
Each servo can provide 3.5 kg/cm of torque.
Required torque for the distal phalange servo: 1.30 kg/cm
Required torque for the proximal phalange servo: 0.88 kg/cm
Conclusion
Distal Phalange Servos:
The required torque of 1.30 kg/cm is less than the 3.5 kg/cm that each servo can provide.
Proximal Phalange Servos:
The required torque of 0.88 kg/cm is also less than the 3.5 kg/cm that each servo can provide.
Therefore, each servo in the finger can handle the required torque, and the servos should be sufficient for the Generation 8 Robotic Facehugger System.