in this diagram of a simple gearbox, the gear ratios for each pair of gears is given. what will be the…

in this diagram of a simple gearbox, the gear ratios for each pair of gears is given. what will be the output speed if the input speed is 240 rpm? a 10 rpm b 20 rpm c 60 rpm d 120 rpm

in this diagram of a simple gearbox, the gear ratios for each pair of gears is given. what will be the output speed if the input speed is 240 rpm? a 10 rpm b 20 rpm c 60 rpm d 120 rpm

Answer

Explanation:

Step1: Calculate the total gear - ratio

The gear - ratios are 4:1, 3:1, and 2:1. The total gear - ratio is the product of these individual gear - ratios. So, the total gear - ratio $R = 4\times3\times2=24$.

Step2: Calculate the output speed

The formula relating input speed $N_{in}$, output speed $N_{out}$, and total gear - ratio $R$ is $N_{out}=\frac{N_{in}}{R}$. Given $N_{in} = 240$ rpm and $R = 24$, then $N_{out}=\frac{240}{24}=10$ rpm.

Answer:

A. 10 rpm