Concept explainers
(a)
The angular acceleration of the propeller when the turn is horizontal.
(a)
Answer to Problem 1P
The angular acceleration of the propeller when the turn is horizontal is
Explanation of Solution
Write the expression of angular acceleration at constant speed.
Write the expression of angular acceleration turning at constant rate.
Here,
Write the expression of angular acceleration.
Conclusion:
Substitute
Substitute
Substitute
Thus, the angular acceleration of the turn is horizontal
(b)
The angular acceleration of the propeller when the turn is vertical, downward.
(b)
Answer to Problem 1P
The angular acceleration of the propeller when the turn is vertical, downward is
Explanation of Solution
Substitute
Substitute
Substitute
Thus, the angular acceleration of the propeller when the turn is vertical, downward is
Want to see more full solutions like this?
Chapter 20 Solutions
Modified MasteringEngineering with Pearson eText -- Standalone Access Card -- for Engineering Mechanics: Dynamics
- The cord, which is wrapped around the disk, is given an acceleration of a=(12t)m/s2, where t is in seconds A) Starting from rest, determine the angular displacement of the disk, measured clockwise, when t = 3 s B) Starting from rest, determine the angular velocity of the disk, measured clockwise, when t = 3 s C) Starting from rest, determine the angular acceleration of the disk, measured clockwise, when t = 3 s .arrow_forwardThe angular displacement of the centrifuge is given by θ = 3.2[t + 37e-0.027t - 37] rad, where t is in seconds and t = 0 is the startup time. If the person loses consciousness at an acceleration level of 7.7g, determine the time t at which this would occur. Verify that the tangential acceleration is negligible as the normal acceleration approaches 7.7g.arrow_forwardThe particle has a mass of 0.5kg and is confined to move along the smooth horizontal slot due to the rotation of the arm OA. Determine the force of the rod on the particle and the normal force of the slot on the particle if the arm has an angular acceleration of Theta(double dot)= 3 rad/s^2 when theta (dot)= 2rad/s at theta=30.arrow_forward
- Consider the portion of an excavator shown. At the instant under consideration, the hydraulic cylinder is extending at a rate of 5 in./sec, which is decreasing at the rate of 2 in./sec every second. Simultaneously, the cylinder is rotating about a horizontal axis through O at a constant rate of 13 deg/sec. Determine the velocity v and acceleration a of the clevis attachment at B. Write the velocity and acceleration as vectors.Answers:v = ( er + eθ) in./seca = ( er + eθ) in./sec2arrow_forwardTwo inclined shafts are connected by means of a universal joint. The speed of the driving shaftis 1000 £p.m. If the total fluctuation of speed of the driven shaft is not to exceed 12.5% of this, what is the maximum possible inclination between the two shafts? With this angle, what will be the maximum acceleration to which the driven shaft is subjected and when this will occur ? [Ans. 20.4° ; 1570 rad/s? ; 41.28°]arrow_forwardImagine that the CD on the right side is rotating with a constantangular velocity of �=6 rad/s between t=0 and t=3 s. Then, at t=3 s,it is suddenly subjected to a constant angular acceleration of α=6rad/s2 for 2 seconds. Determine the number of turns for the totaltime interval from t=0 to t=5 s. (Diameter of the CD is 12 cm)arrow_forward
- 16-67 Determine the velocity of the slider block at C at the instant = 45, if link AB is rotating at 4 rad/s.arrow_forwardInitially the blades of a two-blade horizontal axis wind turbine are turning at angular velocity of 2 rad/s CCW. A wind develops and the angular velocity increases to 5 rad/s CCW. If the radius of the blade is 4.55 meter. Determine the distance point P, which is located at the tip of one the blades, travels during a 3 second interval. Also determine the magnitude of acceleration of point P during this interval.arrow_forwardThe hoop lies on a rough surface such that its angular velocity is w=4 rad/s and its angular acceleration is a=5rad/s^2. Also its center has a speed of vo=5m/s and a deceleration ao=2m/s2. Determine the acceleration of point B at the instant shown.arrow_forward
- Consider the portion of an excavator shown. At the instant under consideration, the hydraulic cylinder is extending at a rate of 7 in./sec, which is decreasing at the rate of 3 in./sec every second. Simultaneously, the cylinder is rotating about a horizontal axis through O at a constant rate of 10 deg/sec. Determine the velocity v and acceleration a of the clevis attachment at B. *********************ANSWER THIS PART ONLY************ Write the velocity and acceleration as vectors.v = (______ er + ______ eθ) in./seca = ( ______er + ______ eθ) in./sec2arrow_forward1- The bucket is hoisted by the rope that warps around a drum wheel. If the angular displacement of the wheel is 9 =(3t2-7t) rad, where t is in seconds, determine the velocity and acceleration of the bucket when t= 5 secarrow_forwardThe speed of a material point is given by v = 16t² i + 4t3 j + (5t + 2) k m / s, where t is given in seconds. If the point is at the origin when t = 0, determine the position (x, y, z) of the point at time t = 3s. Choose one:a. (42.7.16, 14)B. (64, 48, 5)c. (96, 108, 5)d. (5.3, 1, 4.5)e. (144, 81, 28.5)arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY