Question

How can we calculate the speed of the output gear in a simple gear train? Explain with the help of an example.

Answer 1

`N_3=(T_1)/(T_3)N_1`

Step-by-step explanation:

In the diagram there three gears in which gear 1 is input gear ,gear 2 is idle gear and gear 3 is out put gear.

Lets take

`Speed\ of\ gear 1=N_1`

`Number\ of\ teeth\ of\ gear 1=T_1`

`Speed\ of\ gear 3=N_3`

`Number\ of\ teeth\ of\ gear 3=T_3`

All external matting gears will rotates in opposite direction with respect to each other.

So the speed of gear third can be given as follows

`(T_1)/(T_3)=(N_3)/(N_1)`

`N_3=(T_1)/(T_3)N_1`