At the instant shown wheel A rotates with an angular velocit

At the instant shown, wheel A rotates with an angular velocity of omega=6 rad/sand an angular acceleration of alpha=3 rad/s^2. Determine the angular acceleration of link BC and the acceleration of piston C.

Solution

now the velocity diargrm is gram scale of 1mm = 1mm/s

velocity of the rotating component AB 200mm is radial velocity * length the crank

V_ab = 200*6=1200mm/s

Scale 1mm/s =1mm

BC velociy is 4800mm/s

AC velocity is 4947.27mm/s

Accleration components

The resultan accleration of the BC is 32126.813mm²/s=0.03212m²/sThe accleration of the piston is 0.03212 m²/s

link	velocity	ar= v2/r	at
AB	1200	7200	0
BC	4800	28800
CA=824.621	4947.27	29441.39