9.1 Calculate the: 9.1.1 Rotation frequency of the final driven shaft if the electrical motor rotates at 1 440/r/min 9.1.2 Velocity ratio between the input and output shafts. - NSC Mechanical Technology Fitting and Machining - Question 9 - 2018 - Paper 1

To calculate the rotation frequency of the final driven shaft, we use the gear ratios.

1. Identify Gear Ratios: Gear A has 40 teeth, gear B has 60 teeth, gear C has 30 teeth, and gear D has 80 teeth.

2. Calculate Input Frequency: The input frequency from the electrical motor is 1 440 r/min.

3. Calculate Intermediate Gear: The relation between gear A and gear B is calculated as follows:

   $N_B = N_A \times \frac{T_A}{T_B} = 1 440 \times \frac{40}{60} = 960 \text{ r/min}$

   Next, gear C and gear D:

   $N_D = N_C \times \frac{T_C}{T_D}, N_C = N_B \times \frac{T_B}{T_C}$

   So:

   $N_C = 960 \times \frac{60}{30} = 1920\text{ r/min}$

   Finally:

   $N_D = 1920 \times \frac{30}{80} = 720 \text{ r/min}$