Question

Using a gear train system, the speed of the driven gear with 120 TPI was increased 3 times

compared to the rotation speed of the driver gear. What is the number of TPI of the driver
gear?
SOS, please

Answer 1

The number of teeth on the driver gear (TPI) is 360.

Step-by-step explanation:

In a gear train system, the relationship between the number of teeth on the gears and their rotational speeds is given by the equation:

Driver Teeth * Driver Speed = Driven Teeth * Driven Speed

Let's assume the number of teeth on the driver gear is x and the number of teeth on the driven gear is 120 (given).

The rotation speed of the driven gear is increased 3 times compared to the rotation speed of the driver gear. Mathematically, we can represent this as:

Driven Speed = 3 * Driver Speed

Now we can substitute these values into the gear train equation:

x * Driver Speed = 120 * (3 * Driver Speed)

Simplifying the equation:

x * Driver Speed = 360 * Driver Speed

Dividing both sides of the equation by Driver Speed:

x = 360