Mechanical Engineering Exam > Mechanical Engineering Questions > Common Data Questions 17-18In a carnival ride...
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Common Data Questions 17-18
In a carnival ride, the passengers sit on a seat that rotates with constant speed in a vertical circle of radius 2 m. The heads of the seated passenger always pointed towards the axis of rotation and the carnival ride completes one full circle in 2 seconds.
Q. Find the acceleration of passenger
- a)25 rad/s2
- b)49.3 rad/s2
- c)59 rad/s2
- d)Zero
Correct answer is 'B'. Can you explain this answer?
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Common Data Questions 17-18In a carnival ride, the passengers sit on a...
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Understanding the Problem
- The carnival ride is a rotating seat in a vertical circle.
- The radius of the circle is 2 m.
- The ride completes one full circle in 2 seconds.
- The heads of the passengers always point towards the axis of rotation.
Calculating the Acceleration of Passenger
- The acceleration of an object moving in a circle is given by the formula: \( a = \frac{v^2}{r} \), where
- \( a \) is the acceleration,
- \( v \) is the velocity of the object, and
- \( r \) is the radius of the circle.
- The velocity of the passenger can be calculated using the formula for uniform circular motion: \( v = \frac{2\pi r}{T} \), where
- \( T \) is the time period for one complete circle.
- Substituting the values, we get:
- \( v = \frac{2\pi \times 2}{2} = 2\pi \, m/s \)
- Now, substituting the velocity back into the acceleration formula:
- \( a = \frac{(2\pi)^2}{2} = 4\pi^2 \, m/s^2 \)
- Calculating the numerical value of the acceleration:
- \( a \approx 39.48 \, m/s^2 \)
Therefore, the correct answer is option B: 49.3 rad/s^2.
- The carnival ride is a rotating seat in a vertical circle.
- The radius of the circle is 2 m.
- The ride completes one full circle in 2 seconds.
- The heads of the passengers always point towards the axis of rotation.
Calculating the Acceleration of Passenger
- The acceleration of an object moving in a circle is given by the formula: \( a = \frac{v^2}{r} \), where
- \( a \) is the acceleration,
- \( v \) is the velocity of the object, and
- \( r \) is the radius of the circle.
- The velocity of the passenger can be calculated using the formula for uniform circular motion: \( v = \frac{2\pi r}{T} \), where
- \( T \) is the time period for one complete circle.
- Substituting the values, we get:
- \( v = \frac{2\pi \times 2}{2} = 2\pi \, m/s \)
- Now, substituting the velocity back into the acceleration formula:
- \( a = \frac{(2\pi)^2}{2} = 4\pi^2 \, m/s^2 \)
- Calculating the numerical value of the acceleration:
- \( a \approx 39.48 \, m/s^2 \)
Therefore, the correct answer is option B: 49.3 rad/s^2.
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Common Data Questions 17-18In a carnival ride, the passengers sit on a seat that rotates with constant speed in a vertical circle of radius 2 m. The heads of the seated passenger always pointed towards the axis of rotation and the carnival ride completes one full circle in 2 seconds.Q.Find the acceleration of passengera)25 rad/s2b)49.3 rad/s2c)59 rad/s2d)ZeroCorrect answer is 'B'. Can you explain this answer?
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Common Data Questions 17-18In a carnival ride, the passengers sit on a seat that rotates with constant speed in a vertical circle of radius 2 m. The heads of the seated passenger always pointed towards the axis of rotation and the carnival ride completes one full circle in 2 seconds.Q.Find the acceleration of passengera)25 rad/s2b)49.3 rad/s2c)59 rad/s2d)ZeroCorrect answer is 'B'. 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 Common Data Questions 17-18In a carnival ride, the passengers sit on a seat that rotates with constant speed in a vertical circle of radius 2 m. The heads of the seated passenger always pointed towards the axis of rotation and the carnival ride completes one full circle in 2 seconds.Q.Find the acceleration of passengera)25 rad/s2b)49.3 rad/s2c)59 rad/s2d)ZeroCorrect answer is 'B'. 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 Common Data Questions 17-18In a carnival ride, the passengers sit on a seat that rotates with constant speed in a vertical circle of radius 2 m. The heads of the seated passenger always pointed towards the axis of rotation and the carnival ride completes one full circle in 2 seconds.Q.Find the acceleration of passengera)25 rad/s2b)49.3 rad/s2c)59 rad/s2d)ZeroCorrect answer is 'B'. Can you explain this answer?.
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