Drive the 3 equations mentioned above?How?? x = r [(1 - coscos 0) +sin² 02 nAp = r w² [cos 6os 0 +sin 202ncos 2012nVp = rw [sine +2011-(1)(2)(3)

Answered: x = r [(1 - cos cos 0) + sin² 01 2n Vp…

Engineering

Mechanical Engineering

x = r [(1 - cos cos 0) + sin² 01 2n Vp = rw [sin 0 + [sin 0 + sin20] cos 201 2n Ap = r w² [cos 0 + - (1) - (2) (3)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

100%

Drive the 3 equations mentioned above?How??

x = r [(1 - cos
cos 0) +
sin² 0
2 n
Ap = r w² [cos 6
os 0 +
sin 20
2n
cos 201
2n
Vp = rw [sine +
2011
-
(1)
(2)
(3)

Expert Solution

Step 1

For a piston cylinder arrangement, it is required to determine:

$x = r [(1 - \cos (θ)) + \frac{\sin^{2} (θ)}{2 n}]$ (Piston displacement)

$v_{p} = r ω [\sin (θ) + \frac{\sin (2 θ)}{2 n}]$ (Piston velocity)

$a_{p} = r ω^{2} [\cos (θ) + \frac{\cos (2 θ)}{n}]$ (Piston acceleration)

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