Rotational Kinematic 1
Rotational analog of v = v₀ + at. Relates angular velocity to time under constant angular acceleration.
Variables
Derivation
From α = (ω - ω₀)/t, solving for ω gives ω = ω₀ + αt.
Your notes
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- ω₀ = 2 rad/s (Initial angular velocity)
- α = 3 rad/s² (Angular acceleration)
- t = 4 s (Time)
Result: ω = 14 rad/s
Other mechanics formulas with the same quantities
- Newton's Second Law (Rotation) (Rotational Motion) shares Angular acceleration
Where this formula is listed
- Mechanics formulas, under Rotational Motion, alongside Angular Velocity, Linear-Angular Velocity Relation, Centripetal Acceleration, Centripetal Force and Torque.
- In the mechanics list it comes after Angular Momentum and before Rotational Kinematic 2.
- Mechanics formula sheet, one of 58 formulas printed with symbol keys and SI units.
- The full formula index, grouped by category and topic.
Common questions
What is the Rotational Kinematic 1 formula?
Rotational Kinematic 1 is written ω = ω₀ + αt. Rotational analog of v = v₀ + at. Relates angular velocity to time under constant angular acceleration. It belongs to Mechanics, under Rotational Motion.
What are the units in ω = ω₀ + αt?
In SI units, ω is final angular velocity, measured in rad/s; ω₀ is initial angular velocity, measured in rad/s; α is angular acceleration, measured in rad/s²; t is time, measured in s.
How is the Rotational Kinematic 1 formula derived?
From α = (ω - ω₀)/t, solving for ω gives ω = ω₀ + αt. The result is ω = ω₀ + αt.