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A gear of 28 cm pitch circle diameter has 40 teeth.
The circular pitch will nearly be
  • a)
    11 mm/tooth
  • b)
    22 mm/tooth
  • c)
    33 mm/tooth
  • d)
    44 mm/tooth
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A gear of 28 cm pitch circle diameter has 40 teeth.The circular pitch...
Pc = ?D/T = ? x 280/40
= 7? = 21.99 mm/tooth
= 22 mm/tooth
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Most Upvoted Answer
A gear of 28 cm pitch circle diameter has 40 teeth.The circular pitch...
Circular pitch is defined as the distance along the pitch circle between corresponding points on adjacent teeth of a gear. It is denoted by the symbol P and is measured in millimeters per tooth.

Given:
Number of teeth (N) = 40
Pitch circle diameter (D) = 28 cm

To find the circular pitch, we can use the formula:

P = π * D / N

Let's calculate the circular pitch using the given values.

1. Convert the pitch circle diameter from centimeters to millimeters:
D = 28 cm * 10 mm/cm = 280 mm

2. Substitute the values into the formula:
P = π * 280 mm / 40

3. Simplify the equation:
P = 22 * π mm / 40

The value of π (pi) is approximately 3.14.

4. Calculate the circular pitch:
P = 22 * 3.14 mm / 40
P ≈ 1.727 mm/tooth

Therefore, the circular pitch for a gear with a pitch circle diameter of 28 cm and 40 teeth is approximately 1.727 mm/tooth.

Hence, the correct answer is option B) 22 mm/tooth.
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A gear of 28 cm pitch circle diameter has 40 teeth.The circular pitch will nearly bea)11 mm/toothb)22 mm/toothc)33 mm/toothd)44 mm/toothCorrect answer is option 'B'. Can you explain this answer?
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