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Two points, A and B, located along the radius of a wheel have velocities of 80 m/sec and 140 m/sec, respectively. If the radius of wheel is 700 mm, what will be the distance (in mm) between points A and B? (Answer up to the nearest integer)
Correct answer is '300'. Can you explain this answer?
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Most Upvoted Answer
Two points, A and B, located along the radius of a wheel have velocit...
Ω = VA/OA = VB/OB
80/OA = 140/r = 140/700 = 1/5
OA = 80 x 5 = 400 mm
The distance between points A and B,
OB - OA = r − 400 = 700 − 400 = 300 mm
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Two points, A and B, located along the radius of a wheel have velocit...
Given information:
- Two points, A and B, are located along the radius of a wheel.
- The velocity of point A is 80 m/sec.
- The velocity of point B is 140 m/sec.
- The radius of the wheel is 700 mm.
To find:
- The distance between points A and B.
Analysis:
- The velocity of a point on a rotating wheel is directly proportional to its distance from the center of the wheel.
- The velocity at point A is 80 m/sec, which is located at a distance of 700 mm from the center of the wheel.
- The velocity at point B is 140 m/sec, which is located at a distance unknown from the center of the wheel.
- The distance between points A and B can be determined by using the ratio of velocities.
Solution:
- The ratio of velocities can be written as:
Velocity at point A / Velocity at point B = Distance from center at point A / Distance from center at point B
- Substituting the given values:
80 / 140 = 700 / Distance from center at point B
- Solving for the distance from the center at point B:
Distance from center at point B = (140 * 700) / 80
Distance from center at point B = 9800 / 80
Distance from center at point B = 122.5 mm
- The distance between points A and B is given by:
Distance between A and B = Distance from center at point B - Distance from center at point A
Distance between A and B = 122.5 - 700
Distance between A and B = -577.5 mm
Conclusion:
- The distance between points A and B is approximately -577.5 mm, which is not a valid answer.
- Therefore, there may be an error in the given information or solution.
- Two points, A and B, are located along the radius of a wheel.
- The velocity of point A is 80 m/sec.
- The velocity of point B is 140 m/sec.
- The radius of the wheel is 700 mm.
To find:
- The distance between points A and B.
Analysis:
- The velocity of a point on a rotating wheel is directly proportional to its distance from the center of the wheel.
- The velocity at point A is 80 m/sec, which is located at a distance of 700 mm from the center of the wheel.
- The velocity at point B is 140 m/sec, which is located at a distance unknown from the center of the wheel.
- The distance between points A and B can be determined by using the ratio of velocities.
Solution:
- The ratio of velocities can be written as:
Velocity at point A / Velocity at point B = Distance from center at point A / Distance from center at point B
- Substituting the given values:
80 / 140 = 700 / Distance from center at point B
- Solving for the distance from the center at point B:
Distance from center at point B = (140 * 700) / 80
Distance from center at point B = 9800 / 80
Distance from center at point B = 122.5 mm
- The distance between points A and B is given by:
Distance between A and B = Distance from center at point B - Distance from center at point A
Distance between A and B = 122.5 - 700
Distance between A and B = -577.5 mm
Conclusion:
- The distance between points A and B is approximately -577.5 mm, which is not a valid answer.
- Therefore, there may be an error in the given information or solution.
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Two points, A and B, located along the radius of a wheel have velocities of 80 m/sec and 140 m/sec, respectively. If the radius of wheel is 700 mm, what will be the distance (in mm) between points A and B? (Answer up to the nearest integer)Correct answer is '300'. Can you explain this answer?
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Two points, A and B, located along the radius of a wheel have velocities of 80 m/sec and 140 m/sec, respectively. If the radius of wheel is 700 mm, what will be the distance (in mm) between points A and B? (Answer up to the nearest integer)Correct answer is '300'. 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 Two points, A and B, located along the radius of a wheel have velocities of 80 m/sec and 140 m/sec, respectively. If the radius of wheel is 700 mm, what will be the distance (in mm) between points A and B? (Answer up to the nearest integer)Correct answer is '300'. 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 Two points, A and B, located along the radius of a wheel have velocities of 80 m/sec and 140 m/sec, respectively. If the radius of wheel is 700 mm, what will be the distance (in mm) between points A and B? (Answer up to the nearest integer)Correct answer is '300'. Can you explain this answer?.
Two points, A and B, located along the radius of a wheel have velocities of 80 m/sec and 140 m/sec, respectively. If the radius of wheel is 700 mm, what will be the distance (in mm) between points A and B? (Answer up to the nearest integer)Correct answer is '300'. 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 Two points, A and B, located along the radius of a wheel have velocities of 80 m/sec and 140 m/sec, respectively. If the radius of wheel is 700 mm, what will be the distance (in mm) between points A and B? (Answer up to the nearest integer)Correct answer is '300'. 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 Two points, A and B, located along the radius of a wheel have velocities of 80 m/sec and 140 m/sec, respectively. If the radius of wheel is 700 mm, what will be the distance (in mm) between points A and B? (Answer up to the nearest integer)Correct answer is '300'. Can you explain this answer?.
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Two points, A and B, located along the radius of a wheel have velocities of 80 m/sec and 140 m/sec, respectively. If the radius of wheel is 700 mm, what will be the distance (in mm) between points A and B? (Answer up to the nearest integer)Correct answer is '300'. Can you explain this answer?, a detailed solution for Two points, A and B, located along the radius of a wheel have velocities of 80 m/sec and 140 m/sec, respectively. If the radius of wheel is 700 mm, what will be the distance (in mm) between points A and B? (Answer up to the nearest integer)Correct answer is '300'. Can you explain this answer? has been provided alongside types of Two points, A and B, located along the radius of a wheel have velocities of 80 m/sec and 140 m/sec, respectively. If the radius of wheel is 700 mm, what will be the distance (in mm) between points A and B? (Answer up to the nearest integer)Correct answer is '300'. Can you explain this answer? theory, EduRev gives you an
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