For a single slider crank mechanism , state the formulae to calculate by analytical method – Also state the meaning of each term.
i) Velocity of slider:
Vp = w.r [sinθ + sin2θ/2n ]
Vp - velocity of slider
w- angular velocity
θ – angle of crank to line of stroke ‘PO’
n- l/r = ratio of length of connecting rod to crank radius.
ii) Acceleration of slider:
fp = w2 r(cos θ + cos2θ/n)
where, fp – acceleration of slider
iii) Angular velocity of connecting rod.:
wpc = w cos θ / ( n2 – sin2θ)1/2
Where, wpc is angular velocity of connecting rod
iv) Angular acceleration of connecting rod.:
αpc = -w2sinθ (n2 -1)/ ( n2 -sin2θ) 3/2
Where, αpc is angular acceleration of connecting rod.