MOTOR SIZING - O-Division-2022-2023-Even/Repo-11 GitHub Wiki

1.Aluminium rods

• Volume of Al rod=3.140.60.6*13=14.7 ^3 cm^3.
• Volume of 4 Al rods=4*14.7 cm^3=58.8cm^3.
• Density of Al rod=2.7g/cm^3.
• Mass of Al rods=2.7*58.8=158.76 g.

2.Wheel part

• Volume of wheel=(4/3)* 3.14* 3.5* 3.5* 3.5=179.503 cm^3.
• Volume of 2 wheels=2*538.5=359 cm^3
• Density of rubber=1.34 g/cm^3.
• Mass of wheels=1.34* = g.

3.Acrylic sheet part

• Volume of acrylic part=16.5* 8* 0.5=66 cm^3.
• Density of acrylic=1.18 g/cm^3.
• Mass of acrylic part=66*1.18=77.88 g.

Total mass

158.76+77.88+481=717.64 g=0.717 kg.

Force due to gravity

• F=mg
• F=0.717*980.665=703.136 kgcm/s^2.

Torque

• T=F* r
• T=2 kg-cm

For a torque of 2 kg-cm,100 rpm DC motor is best suited.