To find : piston velocity, acceleration and jerk when frequency is double.
Answer to Problem 67E
Doubling the frequency leads, velocity to two times, acceleration to four times and jerk to eight times.
Explanation of Solution
Given information :
The piston is moving up and down and its position is given by
where A is amplitude and b is frequency.
Formula needed :
Velocity
and jerk
For velocity, differentiate
with respect to
For acceleration, differentiate
with respect to
For jerk, differentiate
with respect to
Now double the frequency means replace b with 2b .
The velocity is
The acceleration is
The jerk is
When frequency become double, velocity become double, acceleration become four times and jerk become eight times.
Chapter 3 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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