Machine Elements Quiz 3
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Questions and Answers

What are the two components of linear acceleration?

  • Normal and tangential acceleration (correct)
  • Linear and non-linear acceleration
  • Angular and radial acceleration
  • Centripetal and centrifugal acceleration

    • What is acceleration?

  • The product of mass and velocity.
  • The second derivative of displacement and time.
  • The rate of change of velocity with respect to time. (correct)
  • The rate of change of displacement with respect to time.

    • What is the formula for normal acceleration?

  • $\omega^2R$ (correct)
  • $\frac{dV}{dt}$
  • $R\alpha$
  • $\sqrt{(\frac{d^2x}{dt^2})^2 + (\frac{d^2y}{dt^2})^2}$

    • What does a vector representing the tangential acceleration of a point look like?

    <p>It is perpendicular to the line connecting the point and the point of rotation.</p> Signup and view all the answers

    What is the relative acceleration method?

    <p>A method based on relative motion to analyze acceleration.</p> Signup and view all the answers

    What is the formula for the resultant acceleration?

    <p>$\sqrt{(\frac{d^2x}{dt^2})^2 + (\frac{d^2y}{dt^2})^2}$</p> Signup and view all the answers

    What is Coriolis' Law?

    <p>A law describing the acceleration of a particle moving along a path that is also in motion.</p> Signup and view all the answers

    What is Klein's Construction method used for?

    <p>Obtaining velocities</p> Signup and view all the answers

    What is the space scale (Ks)?

    <p>The number of feet on the machine represented by 1 inch on the drawing.</p> Signup and view all the answers

    What is the acceleration scale (Ka)?

    <p>The acceleration in fps^2 represented by 1 inch on the drawing.</p> Signup and view all the answers

    Study Notes

    Machine Elements Quiz 3

    • Acceleration: The rate of change of displacement with respect to time.
    • Components of Linear Acceleration: Angular and radial, centripetal, and normal, tangential.
    • Normal Acceleration Formula: ω²R
    • Tangential Acceleration Vector: Parallel to the line connecting the point and the point of rotation.
    • Relative Acceleration Method: A method for calculating the acceleration of an object relative to the motion; based on analysis of motion in a vacuum; used only for objects moving in a circular path.
    • Resultant Acceleration Formula: (Ra² + ω²R²)
    • Coriolis' Law: A law describing the acceleration of a particle moving along a path that is also in motion; also a law stating that the acceleration of a particle is proportional to the force applied to it; however it only applies to objects moving at relativistic speeds
    • Klein's Construction Method: used to determine the velocity of a projectile, finding the acceleration, obtaining velocities, and also, calculating the angular velocities.
    • Space Scale (Ks): The velocity in ft/s represented by 1 inch on the drawing; The ratio of the number of feet on the machine represented by 1 inch on the drawing.
    • Acceleration Scale (Ka): The acceleration in ft/s^2 represented by 1 inch on the drawing; The ratio of the angular acceleration to the linear acceleration.
    • Question 11: A conveyor moves boxes at a constant acceleration of 1.5 ft/s² to the right.
    • Question 12: A car accelerates from 0 to 60 mph in 8.3 seconds; linear acceleration = 88 ft/s²; distance = 320 ft.
    • Question 13: A wheel rotates 400 revolutions counterclockwise while decelerating from 1100 rpm to 800 rpm. Angular acceleration = 83.78 rad/s².
    • Question 14: Angular velocity of a shaft increases from 1000 rpm to 2500 rpm clockwise in 20 seconds; angular acceleration = 261.8 rad/s²
    • Question 15: A cam accelerates uniformly to 750 rpm clockwise in 8 seconds from rest; angular acceleration = 261.8 rad/s².

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    Description

    Test your knowledge on key concepts related to machine elements and acceleration. This quiz covers topics like normal acceleration, tangential acceleration, and related formulas. Ideal for students and professionals delving into mechanical engineering.

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