Question

what is the angular displacement made by a particle after 6 seconds,when it starts from rest with an angular acceleration 0.2 radian per second²

1) 4 radian
2) 1 radian
3) 2.5 radian
4) 5 radian​

Answer 1

Given

• Time = 6 sec
• Initial angular velocity = 0 m/s
• Angular Acceleration = 0.2 rad/s²

To Find

• Angular Displacement

Formula Used :

● Second Equation of Kinematics ; θ = ωt + ½ αt²

Where,

• θ = Angular Displacement
• ω = Initial Angular Velocity
• α = Angular Acceleration
• t = Time

Solution

→ θ = ωt + ½ αt²

→ θ = (0)(6) + ½ × 0.2 × 6²

→ θ = 0 + 0.1 × 36

→ θ = 0 + 3.6

→ θ = 3.6 radian