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Train value of a gear train is
  • a)
    equal to speed ratio
  • b)
    half of speed ratio
  • c)
    reciprocal of speed ratio
  • d)
    double the speed ratio
Correct answer is option 'C'. Can you explain this answer?
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Explanation:

A gear train is a mechanical system that consists of multiple gears connected together to transmit power and motion from one shaft to another. The gear ratio is defined as the ratio of the number of teeth on the output gear to the number of teeth on the input gear. It represents the speed ratio between the input and output shafts of the gear train.

The train value of a gear train is a term used to describe the effect of multiple gears in a gear train on the overall gear ratio. It is calculated by multiplying the individual gear ratios of each gear in the train.

Train Value Calculation:
To calculate the train value, you need to multiply the individual gear ratios of each gear in the gear train. Suppose you have a gear train with gears A, B, C, and D, and their respective gear ratios are R1, R2, R3, and R4.

Train Value = R1 * R2 * R3 * R4

Train Value and Speed Ratio:
The speed ratio of a gear train is the ratio of the angular velocity of the input gear to the angular velocity of the output gear. It represents the relationship between the rotational speeds of the input and output shafts of the gear train.

The reciprocal of the speed ratio gives the train value of the gear train. This means that the train value is equal to the inverse of the speed ratio.

Train Value = 1/Speed Ratio

The train value is a dimensionless quantity that represents the overall effect of the gear train on the speed and torque transmission. It indicates how many times the output shaft rotates compared to the input shaft for a given gear train configuration.

Conclusion:
The correct answer is option 'C' - the train value of a gear train is the reciprocal of the speed ratio. It is important to understand the concept of train value in gear trains as it helps in determining the overall gear ratio and the relationship between input and output speeds in a gear train system.
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Train value of a gear train isa)equal to speed ratiob)half of speed ra...
The train value is equal to 1 over speed ratio
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