For two meshing spur gears on parallel shafts, what is the effect on the gear train if the module of both gears is increased while keeping the number of teeth constant for each gear? 

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  1. The center distance between the gears increases. 
  2. The speed ratio changes. 
  3. The load capacity decreases. 
  4. The gear train becomes quieter. 

Answer (Detailed Solution Below)

Option 1 : The center distance between the gears increases. 
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Detailed Solution

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Concept:

In gear systems, the module (m) is a measure of the size of gear teeth and is defined as:

\(m = \frac{d}{z}\)where d is the pitch circle diameter and z is the number of teeth.

Rearranging the formula, the pitch circle diameter is:

\(d = m \cdot z\)

Calculation:

For two meshing spur gears with pitch diameters d1 and d2, and modules m and tooth counts z1, z2, we have:

\(d_1 = m \cdot z_1\)  and  \(d_2 = m \cdot z_2\)

The center distance between the two gears is:

\(C = \frac{d_1 + d_2}{2} = \frac{m(z_1 + z_2)}{2}\)

If the module m is increased while keeping z1 and z2 constant, the center distance C will increase proportionally.

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