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Two involute gears of 20° pressure angle are in mesh. The number of teeth on pinion is 20 and gear ratio is 2. If the module is 5 mm and pitch line speed is 1.2 m/s, (Assume addendum as standard and equal to one module). Then angle turned through the pinion when one pair of teeth is in mesh, will be
- a)27.55°
- b)28.35°
- c)29.45°
- d)32.65°
Correct answer is option 'C'. Can you explain this answer?
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Two involute gears of 20° pressure angle are in mesh. The number o...
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Two involute gears of 20° pressure angle are in mesh. The number o...
Teeth and 30 teeth respectively are meshing with each other. The module of the gears is 2 mm and the pressure angle is 20 degrees. The center distance between the gears is 80 mm.
To calculate the pitch diameter of the gears, we use the formula:
𝑑 = 𝑚 × 𝑍
where 𝑑 is the pitch diameter, 𝑚 is the module, and 𝑍 is the number of teeth.
For the 20-tooth gear:
𝑑₁ = 2 mm × 20 = 40 mm
For the 30-tooth gear:
𝑑₂ = 2 mm × 30 = 60 mm
To calculate the addendum of the gears, we use the formula:
𝑎 = 𝑚
where 𝑎 is the addendum.
For both gears, 𝑎 = 2 mm.
To calculate the dedendum of the gears, we use the formula:
𝑏 = 1.25 × 𝑚
where 𝑏 is the dedendum.
For both gears, 𝑏 = 2.5 mm.
To calculate the base circle diameter of the gears, we use the formula:
𝑑₀ = 𝑑 − 2 × 𝑏
where 𝑑₀ is the base circle diameter.
For the 20-tooth gear:
𝑑₀₁ = 40 mm − 2 × 2.5 mm = 35 mm
For the 30-tooth gear:
𝑑₀₂ = 60 mm − 2 × 2.5 mm = 55 mm
To calculate the working depth of the gears, we use the formula:
ℎ = 2 × 𝑏
where ℎ is the working depth.
For both gears, ℎ = 5 mm.
To calculate the clearance between the gears, we use the formula:
𝑐 = 0.25 × 𝑚
where 𝑐 is the clearance.
For both gears, 𝑐 = 0.5 mm.
To calculate the center distance between the gears, we use the formula:
𝐶 = 𝑑₁/2 + 𝑑₂/2
where 𝐶 is the center distance.
𝐶 = 40 mm/2 + 60 mm/2 = 50 mm
The center distance of 80 mm is greater than the calculated value of 50 mm, which means that the gears may not mesh properly. The center distance should be adjusted accordingly.
To calculate the pitch diameter of the gears, we use the formula:
𝑑 = 𝑚 × 𝑍
where 𝑑 is the pitch diameter, 𝑚 is the module, and 𝑍 is the number of teeth.
For the 20-tooth gear:
𝑑₁ = 2 mm × 20 = 40 mm
For the 30-tooth gear:
𝑑₂ = 2 mm × 30 = 60 mm
To calculate the addendum of the gears, we use the formula:
𝑎 = 𝑚
where 𝑎 is the addendum.
For both gears, 𝑎 = 2 mm.
To calculate the dedendum of the gears, we use the formula:
𝑏 = 1.25 × 𝑚
where 𝑏 is the dedendum.
For both gears, 𝑏 = 2.5 mm.
To calculate the base circle diameter of the gears, we use the formula:
𝑑₀ = 𝑑 − 2 × 𝑏
where 𝑑₀ is the base circle diameter.
For the 20-tooth gear:
𝑑₀₁ = 40 mm − 2 × 2.5 mm = 35 mm
For the 30-tooth gear:
𝑑₀₂ = 60 mm − 2 × 2.5 mm = 55 mm
To calculate the working depth of the gears, we use the formula:
ℎ = 2 × 𝑏
where ℎ is the working depth.
For both gears, ℎ = 5 mm.
To calculate the clearance between the gears, we use the formula:
𝑐 = 0.25 × 𝑚
where 𝑐 is the clearance.
For both gears, 𝑐 = 0.5 mm.
To calculate the center distance between the gears, we use the formula:
𝐶 = 𝑑₁/2 + 𝑑₂/2
where 𝐶 is the center distance.
𝐶 = 40 mm/2 + 60 mm/2 = 50 mm
The center distance of 80 mm is greater than the calculated value of 50 mm, which means that the gears may not mesh properly. The center distance should be adjusted accordingly.
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Two involute gears of 20° pressure angle are in mesh. The number of teeth on pinion is 20 and gear ratio is 2. If the module is 5 mm and pitch line speed is 1.2 m/s, (Assume addendum as standard and equal to one module). Then angle turned through the pinion when one pair of teeth is in mesh, will bea)27.55°b)28.35°c)29.45°d)32.65°Correct answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Two involute gears of 20° pressure angle are in mesh. The number of teeth on pinion is 20 and gear ratio is 2. If the module is 5 mm and pitch line speed is 1.2 m/s, (Assume addendum as standard and equal to one module). Then angle turned through the pinion when one pair of teeth is in mesh, will bea)27.55°b)28.35°c)29.45°d)32.65°Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two involute gears of 20° pressure angle are in mesh. The number of teeth on pinion is 20 and gear ratio is 2. If the module is 5 mm and pitch line speed is 1.2 m/s, (Assume addendum as standard and equal to one module). Then angle turned through the pinion when one pair of teeth is in mesh, will bea)27.55°b)28.35°c)29.45°d)32.65°Correct answer is option 'C'. Can you explain this answer?.
Two involute gears of 20° pressure angle are in mesh. The number of teeth on pinion is 20 and gear ratio is 2. If the module is 5 mm and pitch line speed is 1.2 m/s, (Assume addendum as standard and equal to one module). Then angle turned through the pinion when one pair of teeth is in mesh, will bea)27.55°b)28.35°c)29.45°d)32.65°Correct answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Two involute gears of 20° pressure angle are in mesh. The number of teeth on pinion is 20 and gear ratio is 2. If the module is 5 mm and pitch line speed is 1.2 m/s, (Assume addendum as standard and equal to one module). Then angle turned through the pinion when one pair of teeth is in mesh, will bea)27.55°b)28.35°c)29.45°d)32.65°Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two involute gears of 20° pressure angle are in mesh. The number of teeth on pinion is 20 and gear ratio is 2. If the module is 5 mm and pitch line speed is 1.2 m/s, (Assume addendum as standard and equal to one module). Then angle turned through the pinion when one pair of teeth is in mesh, will bea)27.55°b)28.35°c)29.45°d)32.65°Correct answer is option 'C'. Can you explain this answer?.
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Two involute gears of 20° pressure angle are in mesh. The number of teeth on pinion is 20 and gear ratio is 2. If the module is 5 mm and pitch line speed is 1.2 m/s, (Assume addendum as standard and equal to one module). Then angle turned through the pinion when one pair of teeth is in mesh, will bea)27.55°b)28.35°c)29.45°d)32.65°Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Two involute gears of 20° pressure angle are in mesh. The number of teeth on pinion is 20 and gear ratio is 2. If the module is 5 mm and pitch line speed is 1.2 m/s, (Assume addendum as standard and equal to one module). Then angle turned through the pinion when one pair of teeth is in mesh, will bea)27.55°b)28.35°c)29.45°d)32.65°Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Two involute gears of 20° pressure angle are in mesh. The number of teeth on pinion is 20 and gear ratio is 2. If the module is 5 mm and pitch line speed is 1.2 m/s, (Assume addendum as standard and equal to one module). Then angle turned through the pinion when one pair of teeth is in mesh, will bea)27.55°b)28.35°c)29.45°d)32.65°Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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