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Problem 16-5: Engineering Mechanics- Dynamics (Hibbeler 14th Edition)

Engineering Mechanics Dynamics · R.C. Hibbeler · Chapter 16

Course: Engineering Mechanics Dynamics Book: R.C. Hibbeler Chapter: Chapter 16

Question

Question:
A disk is driven by a motor such that the angular position of the disk is defined by theta equals 20t plus 4t-squared radians, where t is in seconds. Determine the number of revolutions, the angular velocity, and the angular acceleration of the disk when t equals 90 seconds.

Problem 16-5: Engineering Mechanics- Dynamics (Hibbeler 14th Edition)

This lesson applies the calculus-based kinematic relationships for a rigid body in pure rotation. Given an angular position function as a polynomial in time, students find the angular velocity and acceleration by differentiation, then convert angular position to revolutions.

In this lesson, you will learn to:
• Differentiate a polynomial angular position function to obtain angular velocity and angular acceleration
• Evaluate angular kinematic quantities at a specified instant in time
• Convert angular displacement from radians to revol

Step-by-step video solution

This DoAssignment.ca lesson explains the problem with a narrated, step-by-step solution for students studying Engineering Mechanics Dynamics from R.C. Hibbeler.

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