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In an experiment to find the velocity and acceleration of a particular cam rotating at 10 rad/s, the values of displacements and velocities are recorded. The slope of displacement curve at an angle of 'θ' is 1.5 m/s and the slope of velocity curve at the same angle is -0.5 m/s2. The velocity and acceleration of the cam at the instant are respectively (a) 15 m/s and – 5 m/s2 (b) 15 m/s and 5 m/s2 (c) 1.2 m/s and - 0.5 m/s2 (d) 1.2 m/s and 0.5 m/s2?
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In an experiment to find the velocity and acceleration of a particular...
Calculation of Velocity and Acceleration of a Cam
Given Data:
- Angular velocity of cam = 10 rad/s
- Slope of displacement curve at an angle of θ = 1.5 m/s
- Slope of velocity curve at the same angle = -0.5 m/s2
Calculating Velocity of Cam:
The velocity of the cam can be calculated by differentiating the displacement curve.
Velocity = d(displacement)/dt
At an angle of θ, the slope of the displacement curve = 1.5 m/s.
Therefore, Velocity at the angle θ = 1.5 m/s
Angular velocity of cam = 10 rad/s
Linear velocity of cam = Angular velocity * Radius of the cam
Let's assume the radius of the cam is 'r'.
Linear velocity of cam = 10 * r m/s
Calculating Acceleration of Cam:
The acceleration of the cam can be calculated by differentiating the velocity curve.
Acceleration = d(velocity)/dt
At an angle of θ, the slope of the velocity curve = -0.5 m/s2.
Therefore, Acceleration at the angle θ = -0.5 m/s2
Final Answer:
The velocity and acceleration of the cam at the instant are respectively:
- Velocity = 10 * r = 15 m/s
- Acceleration = -0.5 m/s2
Hence, the correct option is (a) 15 m/s and – 5 m/s2.
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In an experiment to find the velocity and acceleration of a particular cam rotating at 10 rad/s, the values of displacements and velocities are recorded. The slope of displacement curve at an angle of 'θ' is 1.5 m/s and the slope of velocity curve at the same angle is -0.5 m/s2. The velocity and acceleration of the cam at the instant are respectively (a) 15 m/s and – 5 m/s2 (b) 15 m/s and 5 m/s2 (c) 1.2 m/s and - 0.5 m/s2 (d) 1.2 m/s and 0.5 m/s2?
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In an experiment to find the velocity and acceleration of a particular cam rotating at 10 rad/s, the values of displacements and velocities are recorded. The slope of displacement curve at an angle of 'θ' is 1.5 m/s and the slope of velocity curve at the same angle is -0.5 m/s2. The velocity and acceleration of the cam at the instant are respectively (a) 15 m/s and – 5 m/s2 (b) 15 m/s and 5 m/s2 (c) 1.2 m/s and - 0.5 m/s2 (d) 1.2 m/s and 0.5 m/s2? 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 In an experiment to find the velocity and acceleration of a particular cam rotating at 10 rad/s, the values of displacements and velocities are recorded. The slope of displacement curve at an angle of 'θ' is 1.5 m/s and the slope of velocity curve at the same angle is -0.5 m/s2. The velocity and acceleration of the cam at the instant are respectively (a) 15 m/s and – 5 m/s2 (b) 15 m/s and 5 m/s2 (c) 1.2 m/s and - 0.5 m/s2 (d) 1.2 m/s and 0.5 m/s2? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an experiment to find the velocity and acceleration of a particular cam rotating at 10 rad/s, the values of displacements and velocities are recorded. The slope of displacement curve at an angle of 'θ' is 1.5 m/s and the slope of velocity curve at the same angle is -0.5 m/s2. The velocity and acceleration of the cam at the instant are respectively (a) 15 m/s and – 5 m/s2 (b) 15 m/s and 5 m/s2 (c) 1.2 m/s and - 0.5 m/s2 (d) 1.2 m/s and 0.5 m/s2?.
In an experiment to find the velocity and acceleration of a particular cam rotating at 10 rad/s, the values of displacements and velocities are recorded. The slope of displacement curve at an angle of 'θ' is 1.5 m/s and the slope of velocity curve at the same angle is -0.5 m/s2. The velocity and acceleration of the cam at the instant are respectively (a) 15 m/s and – 5 m/s2 (b) 15 m/s and 5 m/s2 (c) 1.2 m/s and - 0.5 m/s2 (d) 1.2 m/s and 0.5 m/s2? 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 In an experiment to find the velocity and acceleration of a particular cam rotating at 10 rad/s, the values of displacements and velocities are recorded. The slope of displacement curve at an angle of 'θ' is 1.5 m/s and the slope of velocity curve at the same angle is -0.5 m/s2. The velocity and acceleration of the cam at the instant are respectively (a) 15 m/s and – 5 m/s2 (b) 15 m/s and 5 m/s2 (c) 1.2 m/s and - 0.5 m/s2 (d) 1.2 m/s and 0.5 m/s2? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an experiment to find the velocity and acceleration of a particular cam rotating at 10 rad/s, the values of displacements and velocities are recorded. The slope of displacement curve at an angle of 'θ' is 1.5 m/s and the slope of velocity curve at the same angle is -0.5 m/s2. The velocity and acceleration of the cam at the instant are respectively (a) 15 m/s and – 5 m/s2 (b) 15 m/s and 5 m/s2 (c) 1.2 m/s and - 0.5 m/s2 (d) 1.2 m/s and 0.5 m/s2?.
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