Physics

Angular Displacement Calculator

Find the angle rotated from angular velocity, acceleration and time.

Initial angular velocity (rad/s)

Angular acceleration (rad/s²)

Time

Calculated Output

Angular displacement (rad) 27.5

Angular displacement (°) 1,575.63

Formula: θ = ω·t + ½·α·t²

Step-by-Step Breakdown

1. Values used:

2. Initial angular velocity = 3 rad/s

3. Angular acceleration = 1 rad/s²

4. Time = 5

6. Angular displacement = 27.5rad

7. Angular displacement = 1,575.63°

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The math behind it

θ = ω·t + ½·α·t², the rotational version of s = ut + ½at².

ω = 3 rad/s, α = 1 rad/s², t = 5 s → 27.5 rad.

Radians or degrees?

Physics formulas use radians; multiply by 180/π for degrees.