Problem 2414. Mechanical Advantage of a Gear Train

Calculate the mechanical advantage of a gear train.

The mechanical advantage of a gear couple is given by MA = T_o/T_i where T_x is the number of gear teeth on gear x, o=output, and i=input. For stacked gear couples the overall mechanical advantage is the product of the individual mechanical advantages.

The number of teeth in each gear are given in a 2 x n matrix where n = number of gear couples and the output gears are in the first row.

Example:

 T_i1 = 5; T_o1 = 15;
 T_i2 = 8; T_o2 = 12;
 T_i3 = 6; T_o3 = 24;
 gears = [T_o1 T_o2 T_o3
          T_i1 T_i2 T_i3]
 MA = (15/5)*(12/8)*(24/6) = 3*1.5*4 = 18

Solution Stats

44.09% Correct | 55.91% Incorrect
Last Solution submitted on Oct 05, 2024

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers207

Suggested Problems

More from this Author139

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!