Concept explainers
Determine its constant angular acceleration and the time required.
The gear’s constant angular acceleration and the time required to achieve the angular velocity
Answer to Problem 1FP
The gear’s constant angular acceleration
Is
The time required to achieve the angular velocity
Explanation of Solution
Given:
The angular acceleration
Final angular velocity
The angular displacement of gear
Write the expression of angular displacement for gear.
Write the equation of the angular acceleration.
Here, angular acceleration is
Write the expression for the angular velocity.
Here, angular velocity is
Write the expression for the angular velocity.
Here, angular velocity is
Conclusion:
Substitute
Thus, the gear’s constant angular acceleration
Substitute
Thus, the time required to achieve the angular velocity
Want to see more full solutions like this?
Chapter 16 Solutions
Engineering Mechanics: Dynamics Study (Book and Pearson eText)
- Find the acceleration of the body from t=5s to t=10sarrow_forwardDetermine the value of the speed of point Qarrow_forwardAt a given instant, the sliding block is traveling to the right with the speed and acceleration shown. Determine the angular acceleration of the wheel at this instant.arrow_forward
- NEED WITHIN 1HR PLEASE THANKS 4. In a continuous printing process, paper is drawn into the presses at a constant speed v. Denoting by r the radius of the paper roll at any given time and by b the thickness of the paper, derive an expression for the angular acceleration of the paper roll.arrow_forwardFrom the given figure, determine the linear acceleration of the reel ?arrow_forwardFind the IC of zero velocity for AB at the given instantarrow_forward
- The brake drum is attached to a larger flywheel that is not shown. The motion of the brake drum is defined by the relation 0-36t-1.6t², where is expressed in radians and t in seconds. Determine (a) the angular velocity at t = 2 s, (b) the number of revolutions executed by the brake drum before coming to rest.arrow_forwarddynamic slender rods are fixed together as shown at left determine the anguler acceleration of the system when it is released.arrow_forwardA pulley has a constant angular acceleration of 3 rad/s2. When the angular velocity is 2rad/sec, that the total acceleration of a point on the rim of the pulley is 10ft/s2. Compute the diameter of the pulleyarrow_forward
- The given system consists of A, B and C gears. Since gear A rotates clockwise at a constant speed of 600 times per minute, calculate the angular velocities of gears B and C and the accelerations at the points where gears B and C touch each other on their surfaces.arrow_forwardWhen the angular velocity of a 4-m diameter pulley is 3 rad/sec, the total acceleration of a point on its rim is 30 m/s². Determine the angular acceleration of the pulley at this instant.arrow_forwardThe constant angular acceleration of the rotating disk is 12 rad/s2 . The angular velocity of the disk is 24 rad/s clockwise when t = 0. Determine the total angle turned by the disk between t = 0 and t = 4sec.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