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A wheel has an unbalance mass of 10 kg at a radius of 40 mm. Determine the balancing mass (in kg) required in the same plane opposite at a radial distance of 50 mm.
Correct answer is '8'. Can you explain this answer?
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A wheel has an unbalance mass of 10 kg at a radius of 40 mm. Determine...
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Problem Statement:
A wheel has an unbalance mass of 10 kg at a radius of 40 mm. Determine the balancing mass (in kg) required in the same plane opposite at a radial distance of 50 mm.
Solution:
Step 1: Understanding the Problem
In this problem, we have a wheel with an unbalanced mass at a certain radius. We need to determine the balancing mass required in the same plane but at a different radial distance.
Step 2: Understanding the Concept
When a wheel is unbalanced, it tends to vibrate during rotation. To eliminate this vibration, balancing masses are added to the wheel. Balancing masses are placed on the opposite side of the unbalanced mass, at a specific radial distance, to counterbalance the unbalance and ensure smooth operation.
Step 3: Applying the Formula
To calculate the balancing mass, we can use the formula for static balancing:
m1 x r1 = m2 x r2
Where:
m1 = Unbalance mass (given) = 10 kg
r1 = Radius of unbalance mass (given) = 40 mm = 0.04 m
m2 = Balancing mass (to be determined)
r2 = Radius of balancing mass (to be determined)
Substituting the given values into the formula:
10 kg x 0.04 m = m2 x 0.05 m
Step 4: Solving the Equation
Simplifying the equation:
0.4 kgm = 0.05 m x m2
Rearranging the equation to solve for m2:
m2 = (0.4 kgm) / (0.05 m)
m2 = 8 kg
Step 5: Final Answer
The balancing mass required in the same plane but at a radial distance of 50 mm is 8 kg.
A wheel has an unbalance mass of 10 kg at a radius of 40 mm. Determine the balancing mass (in kg) required in the same plane opposite at a radial distance of 50 mm.
Solution:
Step 1: Understanding the Problem
In this problem, we have a wheel with an unbalanced mass at a certain radius. We need to determine the balancing mass required in the same plane but at a different radial distance.
Step 2: Understanding the Concept
When a wheel is unbalanced, it tends to vibrate during rotation. To eliminate this vibration, balancing masses are added to the wheel. Balancing masses are placed on the opposite side of the unbalanced mass, at a specific radial distance, to counterbalance the unbalance and ensure smooth operation.
Step 3: Applying the Formula
To calculate the balancing mass, we can use the formula for static balancing:
m1 x r1 = m2 x r2
Where:
m1 = Unbalance mass (given) = 10 kg
r1 = Radius of unbalance mass (given) = 40 mm = 0.04 m
m2 = Balancing mass (to be determined)
r2 = Radius of balancing mass (to be determined)
Substituting the given values into the formula:
10 kg x 0.04 m = m2 x 0.05 m
Step 4: Solving the Equation
Simplifying the equation:
0.4 kgm = 0.05 m x m2
Rearranging the equation to solve for m2:
m2 = (0.4 kgm) / (0.05 m)
m2 = 8 kg
Step 5: Final Answer
The balancing mass required in the same plane but at a radial distance of 50 mm is 8 kg.
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A wheel has an unbalance mass of 10 kg at a radius of 40 mm. Determine the balancing mass (in kg) required in the same plane opposite at a radial distance of 50 mm.Correct answer is '8'. Can you explain this answer?
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A wheel has an unbalance mass of 10 kg at a radius of 40 mm. Determine the balancing mass (in kg) required in the same plane opposite at a radial distance of 50 mm.Correct answer is '8'. 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 A wheel has an unbalance mass of 10 kg at a radius of 40 mm. Determine the balancing mass (in kg) required in the same plane opposite at a radial distance of 50 mm.Correct answer is '8'. 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 A wheel has an unbalance mass of 10 kg at a radius of 40 mm. Determine the balancing mass (in kg) required in the same plane opposite at a radial distance of 50 mm.Correct answer is '8'. Can you explain this answer?.
A wheel has an unbalance mass of 10 kg at a radius of 40 mm. Determine the balancing mass (in kg) required in the same plane opposite at a radial distance of 50 mm.Correct answer is '8'. 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 A wheel has an unbalance mass of 10 kg at a radius of 40 mm. Determine the balancing mass (in kg) required in the same plane opposite at a radial distance of 50 mm.Correct answer is '8'. 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 A wheel has an unbalance mass of 10 kg at a radius of 40 mm. Determine the balancing mass (in kg) required in the same plane opposite at a radial distance of 50 mm.Correct answer is '8'. Can you explain this answer?.
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