- #1
KodRoute
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Hello, my book explains detailed the proofs of these three formulas:
y = Asin(ωt + φo)
v = ωAcos(ωt + φo)
a = -ω²Asin(ωt + φo)
Where a is acceleration, v is velocity, ω is angular velocity, A is amplitude.
The book uses the following figures:
Figure a) --> http://tinypic.com/view.php?pic=30m8f9j&s=8
Figure b) --> http://tinypic.com/view.php?pic=2hrejde&s=8
Figure c) --> http://tinypic.com/view.php?pic=a0f9te&s=8
In the first case a) what I'm seeing is that the sine in the triangle whose hypotenuse is R and opposite side vector y is (vector y)/(vector R), in this case R is the amplitude.
The rest b) and c) are just complicated, I don't understand them. Anyone out there to help me here?
Thank you!
Edit: Sorry for posting this here, it's supposed to go to homework help, my fault.
y = Asin(ωt + φo)
v = ωAcos(ωt + φo)
a = -ω²Asin(ωt + φo)
Where a is acceleration, v is velocity, ω is angular velocity, A is amplitude.
The book uses the following figures:
Figure a) --> http://tinypic.com/view.php?pic=30m8f9j&s=8
Figure b) --> http://tinypic.com/view.php?pic=2hrejde&s=8
Figure c) --> http://tinypic.com/view.php?pic=a0f9te&s=8
In the first case a) what I'm seeing is that the sine in the triangle whose hypotenuse is R and opposite side vector y is (vector y)/(vector R), in this case R is the amplitude.
The rest b) and c) are just complicated, I don't understand them. Anyone out there to help me here?
Thank you!
Edit: Sorry for posting this here, it's supposed to go to homework help, my fault.