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An epicyclic gear consist of three gear A , B and C as shown in fig below. The gear A has 72 internal teeth and gear C has 32 external teeth. The gear B meshes with both A and C and is carried on an arm EF which rotates about the centre of A at 18 rpm . If thee gear A is fixed , determine thee speed of gears B and C .?
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An epicyclic gear consist of three gear A , B and C as shown in fig be...
Epicyclic Gear System Analysis
Given data:
Gear A: 72 internal teeth
Gear C: 32 external teeth
Gear B: meshes with both A and C
Step 1: Understanding Epicyclic Gear System
An epicyclic gear system consists of three gears, A, B, and C. Gear A has internal teeth, gear C has external teeth, and gear B meshes with both A and C. The gears are connected in such a way that the rotation of one gear affects the rotation of the other gears.
Step 2: Gear Speed Analysis
To determine the speed of gears B and C, we need to consider the rotational motion of the arm EF, which carries gear B. The arm EF rotates about the center of gear A at a speed of 18 rpm.
Step 3: Relationship between Gear Speeds
In an epicyclic gear system, the relationship between the speeds of the gears can be determined using the formula:
Speed of gear B / Speed of gear A = Number of teeth on gear A / Number of teeth on gear B
Similarly, the relationship between the speeds of gear C and gear A is given by:
Speed of gear C / Speed of gear A = Number of teeth on gear C / Number of teeth on gear A
Step 4: Calculation
Let's calculate the speeds of gears B and C using the given data.
Speed of gear B / 18 rpm = 72 teeth (gear A) / Number of teeth on gear B
Speed of gear C / 18 rpm = Number of teeth on gear C / 72 teeth (gear A)
Step 5: Solving the Equations
To solve the equations, we need to determine the number of teeth on gear B and gear C.
Number of teeth on gear B = (72 teeth * 18 rpm) / 18 rpm = 72 teeth
Number of teeth on gear C = (18 rpm * 32 teeth) / 72 teeth = 8 rpm
Therefore, the speed of gear B is 72 rpm, and the speed of gear C is 8 rpm.
Conclusion:
In the given epicyclic gear system, the speed of gear B is 72 rpm, and the speed of gear C is 8 rpm. This is determined by considering the rotational motion of the arm EF, which carries gear B, and the relationship between the number of teeth on the gears.
Given data:
Gear A: 72 internal teeth
Gear C: 32 external teeth
Gear B: meshes with both A and C
Step 1: Understanding Epicyclic Gear System
An epicyclic gear system consists of three gears, A, B, and C. Gear A has internal teeth, gear C has external teeth, and gear B meshes with both A and C. The gears are connected in such a way that the rotation of one gear affects the rotation of the other gears.
Step 2: Gear Speed Analysis
To determine the speed of gears B and C, we need to consider the rotational motion of the arm EF, which carries gear B. The arm EF rotates about the center of gear A at a speed of 18 rpm.
Step 3: Relationship between Gear Speeds
In an epicyclic gear system, the relationship between the speeds of the gears can be determined using the formula:
Speed of gear B / Speed of gear A = Number of teeth on gear A / Number of teeth on gear B
Similarly, the relationship between the speeds of gear C and gear A is given by:
Speed of gear C / Speed of gear A = Number of teeth on gear C / Number of teeth on gear A
Step 4: Calculation
Let's calculate the speeds of gears B and C using the given data.
Speed of gear B / 18 rpm = 72 teeth (gear A) / Number of teeth on gear B
Speed of gear C / 18 rpm = Number of teeth on gear C / 72 teeth (gear A)
Step 5: Solving the Equations
To solve the equations, we need to determine the number of teeth on gear B and gear C.
Number of teeth on gear B = (72 teeth * 18 rpm) / 18 rpm = 72 teeth
Number of teeth on gear C = (18 rpm * 32 teeth) / 72 teeth = 8 rpm
Therefore, the speed of gear B is 72 rpm, and the speed of gear C is 8 rpm.
Conclusion:
In the given epicyclic gear system, the speed of gear B is 72 rpm, and the speed of gear C is 8 rpm. This is determined by considering the rotational motion of the arm EF, which carries gear B, and the relationship between the number of teeth on the gears.
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An epicyclic gear consist of three gear A , B and C as shown in fig below. The gear A has 72 internal teeth and gear C has 32 external teeth. The gear B meshes with both A and C and is carried on an arm EF which rotates about the centre of A at 18 rpm . If thee gear A is fixed , determine thee speed of gears B and C .?
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An epicyclic gear consist of three gear A , B and C as shown in fig below. The gear A has 72 internal teeth and gear C has 32 external teeth. The gear B meshes with both A and C and is carried on an arm EF which rotates about the centre of A at 18 rpm . If thee gear A is fixed , determine thee speed of gears B and C .? 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 An epicyclic gear consist of three gear A , B and C as shown in fig below. The gear A has 72 internal teeth and gear C has 32 external teeth. The gear B meshes with both A and C and is carried on an arm EF which rotates about the centre of A at 18 rpm . If thee gear A is fixed , determine thee speed of gears B and C .? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An epicyclic gear consist of three gear A , B and C as shown in fig below. The gear A has 72 internal teeth and gear C has 32 external teeth. The gear B meshes with both A and C and is carried on an arm EF which rotates about the centre of A at 18 rpm . If thee gear A is fixed , determine thee speed of gears B and C .?.
An epicyclic gear consist of three gear A , B and C as shown in fig below. The gear A has 72 internal teeth and gear C has 32 external teeth. The gear B meshes with both A and C and is carried on an arm EF which rotates about the centre of A at 18 rpm . If thee gear A is fixed , determine thee speed of gears B and C .? 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 An epicyclic gear consist of three gear A , B and C as shown in fig below. The gear A has 72 internal teeth and gear C has 32 external teeth. The gear B meshes with both A and C and is carried on an arm EF which rotates about the centre of A at 18 rpm . If thee gear A is fixed , determine thee speed of gears B and C .? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An epicyclic gear consist of three gear A , B and C as shown in fig below. The gear A has 72 internal teeth and gear C has 32 external teeth. The gear B meshes with both A and C and is carried on an arm EF which rotates about the centre of A at 18 rpm . If thee gear A is fixed , determine thee speed of gears B and C .?.
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An epicyclic gear consist of three gear A , B and C as shown in fig below. The gear A has 72 internal teeth and gear C has 32 external teeth. The gear B meshes with both A and C and is carried on an arm EF which rotates about the centre of A at 18 rpm . If thee gear A is fixed , determine thee speed of gears B and C .?, a detailed solution for An epicyclic gear consist of three gear A , B and C as shown in fig below. The gear A has 72 internal teeth and gear C has 32 external teeth. The gear B meshes with both A and C and is carried on an arm EF which rotates about the centre of A at 18 rpm . If thee gear A is fixed , determine thee speed of gears B and C .? has been provided alongside types of An epicyclic gear consist of three gear A , B and C as shown in fig below. The gear A has 72 internal teeth and gear C has 32 external teeth. The gear B meshes with both A and C and is carried on an arm EF which rotates about the centre of A at 18 rpm . If thee gear A is fixed , determine thee speed of gears B and C .? theory, EduRev gives you an
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