Question

1. an input gear spinning at 300 rpm drives a gear train with an overall gr of 3.0. what is the output gears rotational speed? hint: remember the relationship: gr = ωin/ωout.

Explanation:

Step1: Identificar los valores dados

Dado que $GR = 3.0$, $w_{in}=300$ RPM.

Step2: Reorganizar la fórmula

A partir de $GR=\frac{w_{in}}{w_{out}}$, despejamos $w_{out}$. Tenemos $w_{out}=\frac{w_{in}}{GR}$.

Step3: Sustituir valores

Sustituimos $w_{in} = 300$ RPM y $GR = 3.0$ en la fórmula $w_{out}=\frac{w_{in}}{GR}$. Entonces $w_{out}=\frac{300}{3.0}=100$ RPM.

Answer:

100 RPM