Concept explainers
The motion of an oscillating flywheel is defined by the relation
Fig. P15.2 and P15.3
(a)
Find the angular coordinate, angular velocity, and angular acceleration of the flywheel at time
Answer to Problem 15.3P
The angular coordinate, angular velocity, and angular acceleration of the flywheel at time
Explanation of Solution
Given information:
Show the expression for the motion of the flywheel as follows:
Here,
Consider the angular coordinate, angular velocity, and angular acceleration of the flywheel are denoted by
The value of
Calculation:
Modify Equation (1).
Substitute 0.4 for
Calculate the angular coordinate at time
Substitute
Thus, the angular coordinate of the flywheel at time
Calculate the angular velocity at time
Differentiate Equation (2) with respect to time as follows:
Substitute
Thus, the angular velocity of the flywheel at time
Calculate the angular acceleration at time
Differentiate Equation (3) with respect to time as follows:
Substitute
Thus, the angular acceleration of the flywheel at time
(b)
Find the angular coordinate, angular velocity, and angular acceleration of the flywheel at time
Answer to Problem 15.3P
The angular coordinate, angular velocity, and angular acceleration of the flywheel at time
Explanation of Solution
Given information:
Calculation:
Calculate the angular coordinate at time
Substitute
Thus, the angular coordinate of the flywheel at time
Calculate the angular velocity at time
Substitute
Thus, the angular velocity of the flywheel at time
Calculate the angular acceleration at time
Substitute
Thus, the angular acceleration of the flywheel at time
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Chapter 15 Solutions
VECTOR MECH. FOR EGR: STATS & DYNAM (LL
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