# Circular Motion & Rotational Dynamics

#### 6. Equation of linear motion and rotational motion

6. Equation of linear motion and rotational motion
 (i) With constant velocity a = 0, s = ut α = 0, θ = ωt (ii) With constant acceleration (i) Average velocity vav= (ii) Average acceleration aav= (iii) s = vav t = t (iv) v = u + at (v) s = ut + at2 (vi) s = vt – at2 (vii) v2 = u2+ 2as (viii) Sn = u + (2n – 1)a displacement in nnhsec (i) Average angular velocity wav= (ii) Average angular acceleration aav = (iii) q = wav. t = t (iv) ω2= ω1 + αt (v) θ = ω1t + at2 (vi) θ = ω2t – αt2 (vi) ω22 = ω12 + 2α θ (viii) θn= ω 1 + (2n – 1)α Angular displacement in nnhsec (iii) With variable acceleration (i) v = (ii) ds = v dt (iii) a = = v (iv) dv = a dt (v) v dv = a ds (i) ω = dθ/dt(ii) dθ = ωdt (iii) α = = ω (iv) dω = α dt (v) ω dω = α dθ

#### IIT (Class X)

• Unit, Dimension & Error
• Vectors
• Motion in One Dimension
• PROJECTILE MOTION
• NEWTON'S LAWS OF MOTION & FRICTION
• WORK, POWER, ENERGY & CONSERVATION LAWS
• CIRCULAR MOTION & ROTATIONAL DYNAMICS
• GRAVITATION