Mechanics
Rotational Kinematic 1
Rotational analog of v = v₀ + at. Relates angular velocity to time under constant angular acceleration.
Variables
ωrad/s
Final angular velocity
Angular velocity at time t
ω₀rad/s
Initial angular velocity
Angular velocity at t=0
αrad/s²
Angular acceleration
Constant angular acceleration
ts
Time
Elapsed time
Derivation
From α = (ω - ω₀)/t, solving for ω gives ω = ω₀ + αt.
Your notes
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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.