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FIGURE 9.1 below shows a gear drive system - NSC Mechanical Technology Automotive - Question 9 - 2017 - Paper 1

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Question 9

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FIGURE 9.1 below shows a gear drive system. Driver gear A on the shaft of an electric motor has 30 teeth and mesh with gear B with 40 teeth on a counter shaft. On th... show full transcript

Worked Solution & Example Answer:FIGURE 9.1 below shows a gear drive system - NSC Mechanical Technology Automotive - Question 9 - 2017 - Paper 1

Step 1

9.1.2 Velocity ratio between the input and output shaft

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Answer

The velocity ratio (VR) can be calculated using the formula:

VR=NoutputNinputVR = \frac{N_{output}}{N_{input}}

From the previous calculations:

  • Ninput=2300  r/minN_{input} = 2300 \; r/min
  • Noutput410.71  r/minN_{output} \approx 410.71 \; r/min

Substituting the values:

VR=410.7123000.178VR = \frac{410.71}{2300} \approx 0.178

Therefore, the velocity ratio between the input and output shaft is 0.178.

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