Final answer:
To design a gear train to transmit 11 kW from an electric motor to an assembly conveyor, calculate the gear ratio using the input and output speeds. Choose the gear ratio closest to the input speed to ensure compact design. Then calculate the gear ratio for each gear in the train.
Step-by-step explanation:
In order to design a gear train that will transmit 11 kW from an electric motor running at 1750 rpm to an assembly conveyor whose drive shaft must rotate between 20 and 21 rpm, we need to find the gear ratio.
The gear ratio is calculated by dividing the output speed by the input speed. In this case, the output speed is the speed of the assembly conveyor's drive shaft (between 20 and 21 rpm) and the input speed is the speed of the electric motor (1750 rpm).
So the gear ratio is between 20/1750 and 21/1750. To make the design compact, we should choose the gear ratio that is closest to the input speed. Let's use a gear ratio of 1/90, which is approximately 0.011.
Now we can calculate the gear ratio for each gear. Assuming the input gear has 10 teeth, the output gear would have 10 divided by 0.011, which is approximately 909 teeth.