**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 ]**

where,

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.