Gears

Reference data and engineering information about gears for mechanics applications.

gears

Overview

Engineering reference data for Gears in mechanics.

$F = ma$

Force = mass × acceleration.

$W = Fd\cos\theta$

Work = force × displacement × cos(angle).

$E_k = \frac{1}{2}mv^2$

Energy of motion.

$E_p = mgh$

Gravitational potential energy.

The effort force in a gear transmission can be calculated using the general formula:

F = W \frac{r_1 \cdot r_2 \cdots r_n}{R_1 \cdot R_2 \cdots R_n}

Consider a system with three gear wheels and an applied load force (W) of 1000 N.

3 rows

Source: engineeringtoolbox.com

Plugging the values into the formula:

F = (1000 \, \text{N}) \frac{(0.05 \, \text{m})(0.06 \, \text{m})(0.07 \, \text{m})}{(0.12 \, \text{m})(0.13 \, \text{m})(0.14 \, \text{m})}

F = (1000 \, \text{N}) \frac{0.00021 \, \text{m}^3}{0.002184 \, \text{m}^3} \approx 96 \, \text{N} = 0.1 \, \text{kN}

The resulting effort force is 96 N (0.1 kN).