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A single reduction spur gear having gear ratio 10 : 1 and pinion transmits 500 kW at 1800 rpm. Gear pair
have involute teeth of standard proportions of (addendum = module) and module 8mm with pressure angle
of 22.5°. Find the load on the bearings of the wheels due t o power transmitted _____________kN
have involute teeth of standard proportions of (addendum = module) and module 8mm with pressure angle
of 22.5°. Find the load on the bearings of the wheels due t o power transmitted _____________kN
Correct answer is between '18,19'. Can you explain this answer?
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A single reduction spur gear having gear ratio 10 : 1 and pinion trans...
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A single reduction spur gear having gear ratio 10 : 1 and pinion trans...
Given data:
Gear ratio (i) = 10 : 1
Power transmitted (P) = 500 kW
Speed of pinion (N1) = 1800 rpm
Module (m) = 8 mm
Pressure angle (ϕ) = 22.5°
We need to find:
(a) Speed of gear (N2)
(b) Pitch circle diameter of pinion (d1)
(c) Pitch circle diameter of gear (d2)
(d) Face width of gear (b)
Solution:
(a) Speed of gear (N2):
We know that,
i = N2/N1
⇒ N2 = i × N1
⇒ N2 = 10 × 1800
⇒ N2 = 18000 rpm
Therefore, the speed of gear is 18000 rpm.
(b) Pitch circle diameter of pinion (d1):
We know that,
P = (2πNT)/60
Where,
T = Torque transmitted
N = Speed in rpm
For pinion,
T1 = (P × 60)/(2πN1)
We also know that,
T1/T2 = i
⇒ T2 = T1/i
For gear,
T2 = (P × 60)/(2πN2)
⇒ T1/i = (P × 60)/(2πN2)
⇒ T1/10 = (500 × 10^3 × 60)/(2π × 18000)
⇒ T1 = 261.8 kNm
Now,
d1 = m × z1
Where,
z1 = Number of teeth on pinion
We know that,
i = z2/z1
⇒ z2 = i × z1
⇒ z2 = 10 × z1
We also know that,
z1 + z2 = m × (N1 + N2)/2π
⇒ z1 + 10z1 = 8 × (1800 + 18000)/2π
⇒ 11z1 = 454.5
⇒ z1 = 41.32
Therefore, the pitch circle diameter of pinion is
d1 = m × z1 = 8 × 41.32 = 330.56 mm
(c) Pitch circle diameter of gear (d2):
We know that,
d2 = m × z2
⇒ d2 = 8 × 10z1
⇒ d2 = 8 × 10 × 41.32
⇒ d2 = 3305.6 mm
Therefore, the pitch circle diameter of gear is 3305.6 mm.
(d) Face width of gear (b):
We know that,
b = 12m
⇒ b = 12 × 8
⇒ b = 96 mm
Therefore, the face width of gear is 96 mm.
Gear ratio (i) = 10 : 1
Power transmitted (P) = 500 kW
Speed of pinion (N1) = 1800 rpm
Module (m) = 8 mm
Pressure angle (ϕ) = 22.5°
We need to find:
(a) Speed of gear (N2)
(b) Pitch circle diameter of pinion (d1)
(c) Pitch circle diameter of gear (d2)
(d) Face width of gear (b)
Solution:
(a) Speed of gear (N2):
We know that,
i = N2/N1
⇒ N2 = i × N1
⇒ N2 = 10 × 1800
⇒ N2 = 18000 rpm
Therefore, the speed of gear is 18000 rpm.
(b) Pitch circle diameter of pinion (d1):
We know that,
P = (2πNT)/60
Where,
T = Torque transmitted
N = Speed in rpm
For pinion,
T1 = (P × 60)/(2πN1)
We also know that,
T1/T2 = i
⇒ T2 = T1/i
For gear,
T2 = (P × 60)/(2πN2)
⇒ T1/i = (P × 60)/(2πN2)
⇒ T1/10 = (500 × 10^3 × 60)/(2π × 18000)
⇒ T1 = 261.8 kNm
Now,
d1 = m × z1
Where,
z1 = Number of teeth on pinion
We know that,
i = z2/z1
⇒ z2 = i × z1
⇒ z2 = 10 × z1
We also know that,
z1 + z2 = m × (N1 + N2)/2π
⇒ z1 + 10z1 = 8 × (1800 + 18000)/2π
⇒ 11z1 = 454.5
⇒ z1 = 41.32
Therefore, the pitch circle diameter of pinion is
d1 = m × z1 = 8 × 41.32 = 330.56 mm
(c) Pitch circle diameter of gear (d2):
We know that,
d2 = m × z2
⇒ d2 = 8 × 10z1
⇒ d2 = 8 × 10 × 41.32
⇒ d2 = 3305.6 mm
Therefore, the pitch circle diameter of gear is 3305.6 mm.
(d) Face width of gear (b):
We know that,
b = 12m
⇒ b = 12 × 8
⇒ b = 96 mm
Therefore, the face width of gear is 96 mm.
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A single reduction spur gear having gear ratio 10 : 1 and pinion transmits 500 kW at 1800 rpm. Gear pairhave involute teeth of standard proportions of (addendum = module) and module 8mm with pressure angleof 22.5°. Find the load on the bearings of the wheels due t o power transmitted _____________kNCorrect answer is between '18,19'. Can you explain this answer?
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A single reduction spur gear having gear ratio 10 : 1 and pinion transmits 500 kW at 1800 rpm. Gear pairhave involute teeth of standard proportions of (addendum = module) and module 8mm with pressure angleof 22.5°. Find the load on the bearings of the wheels due t o power transmitted _____________kNCorrect answer is between '18,19'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A single reduction spur gear having gear ratio 10 : 1 and pinion transmits 500 kW at 1800 rpm. Gear pairhave involute teeth of standard proportions of (addendum = module) and module 8mm with pressure angleof 22.5°. Find the load on the bearings of the wheels due t o power transmitted _____________kNCorrect answer is between '18,19'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A single reduction spur gear having gear ratio 10 : 1 and pinion transmits 500 kW at 1800 rpm. Gear pairhave involute teeth of standard proportions of (addendum = module) and module 8mm with pressure angleof 22.5°. Find the load on the bearings of the wheels due t o power transmitted _____________kNCorrect answer is between '18,19'. Can you explain this answer?.
A single reduction spur gear having gear ratio 10 : 1 and pinion transmits 500 kW at 1800 rpm. Gear pairhave involute teeth of standard proportions of (addendum = module) and module 8mm with pressure angleof 22.5°. Find the load on the bearings of the wheels due t o power transmitted _____________kNCorrect answer is between '18,19'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A single reduction spur gear having gear ratio 10 : 1 and pinion transmits 500 kW at 1800 rpm. Gear pairhave involute teeth of standard proportions of (addendum = module) and module 8mm with pressure angleof 22.5°. Find the load on the bearings of the wheels due t o power transmitted _____________kNCorrect answer is between '18,19'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A single reduction spur gear having gear ratio 10 : 1 and pinion transmits 500 kW at 1800 rpm. Gear pairhave involute teeth of standard proportions of (addendum = module) and module 8mm with pressure angleof 22.5°. Find the load on the bearings of the wheels due t o power transmitted _____________kNCorrect answer is between '18,19'. Can you explain this answer?.
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