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# MACHINE ELEMENTS ## Quiz 3 **1.) What is acceleration?** a. The rate of change of displacement with respect to time. b. The rate of change of velocity with respect to time. c. The second derivative of displacement. d. The product of mass and acceleration. **9.) What is the space scale (Ks)?**...

# MACHINE ELEMENTS ## Quiz 3 **1.) What is acceleration?** a. The rate of change of displacement with respect to time. b. The rate of change of velocity with respect to time. c. The second derivative of displacement. d. The product of mass and acceleration. **9.) What is the space scale (Ks)?** a. The velocity in fps represented by 1 inch on the drawing. b. The acceleration in fps^2 represented by 1 inch on the drawing. c. The number of feet on the machine represented by 1 inch on the drawing. d. The ratio of the angular velocity to the linear velocity. **10.) What is the acceleration scale (Ka)?** a. The velocity in fps represented by 1 inch on the drawing. b. The acceleration in fps^2 represented by 1 inch on the drawing. c. The number of feet on the machine represented by 1 inch on the drawing. d. The ratio of the angular acceleration to the linear acceleration. **2.) What are the two components of linear acceleration?** a. Angular and radial acceleration. b. Centripetal and centrifugal acceleration. c. Normal and tangential acceleration. d. Linear and non-linear acceleration. **3.) What is the formula for normal acceleration?** a. $\omega^2R$ b. $Ra$ c. $\frac{dV}{dt}$ d. $\sqrt{(a_x)^2 + (a_y)^2}$ **4.) What does the vector representing the tangential acceleration of a point look like?** a. It is parallel to the line connecting the point and the point of rotation. b. It is perpendicular to the line connecting the point and the point of rotation. c. It is always directed towards the center of the Earth. d. It is always in the opposite direction of the velocity vector. **5.) What is the relative acceleration method?** a. A method to calculate the acceleration of an object in a vacuum. b. A method based on relative motion to analyze acceleration. c. A method to determine the acceleration of an object at rest. d. A method used only for objects moving in a circular path. **6.) What is the formula for the resultant acceleration?** a. $R\alpha$ b. $\omega^2R$ c. $\frac{dV}{dt}$ d. $\sqrt{(a_x)^2 + (a_y)^2}$ **7.) What is Coriolis' Law?** a. A law stating that the acceleration of a particle is proportional to the force applied to it. b. A law describing the acceleration of a particle moving along a path that is also in motion. c. A law used to calculate the acceleration of an object in free fall. d. A law that only applies to objects moving at relativistic speeds. **8.) What is Klein's Construction method used for?** a. Determining the velocity of a projectile. b. Finding the acceleration of the projectile. c. Obtaining the velocities. d. Calculating the angular velocities. **11.) Boxes are sitting on a conveyor belt moving towards right. The belt reaches full linear speed of 45 fpm in 0.5 sec. Determine the linear acceleration, assuming constant acceleration.** a. 1.5 ft/s^2 b. 1.5 ft/min^2 c. 1.5 in/s^2 d. 1.5 in/min^2 **12.) A high-performance vehicle has a 0-to-60 (mph) time of 8.3 s. Determine the linear acceleration and the distance traveled in reaching 60 mph.** a. 88 ft/s b. 88 ft/s^2 c. 10.6 ft/s d. 10.6 ft/s^2 **13.) A wheel rotates 400 revolutions counterclockwise while decelerating from 1100 rpm to 800 rpm. Determine the angular acceleration of the wheel.** a. 1.243 Rad/s^2 b. 2513.27 Rad/s^2 c. 83.78 rad/s^2 d. 83.78 rad/s^2 **14.) The angular velocity of a shaft is increased with constant acceleration from 1000 rpm to 2500 rpm clockwise in 20 s. Determine the angular acceleration of the shaft.** a. 261.8 Rad/s^2 b. 9.82 rad/s^2 c. 261.8 rad/s d. 7.85 rad/s^2 **15.) Starting from rest, a cam accelerates uniformly to 750 rpm clockwise in 8 s. Determine the angular acceleration of the cam.** a. 261.8 Rad/s^2 b. 9.82 rad/s^2 c. 261.8 rad/s d. 7.85 rad/s^2