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Angular kinematics
ω = ω₀ + αt; θ = ω₀t + ½αt²; ω² = ω₀² + 2αθ
Where: α = angular acceleration (rad/s²), ω = angular velocity (rad/s), ω₀ = initial angular velocity (rad/s), t = time (s)
Solved example
Given: alpha = 7, omega_0 = 5, t = 10
Find: omega (angular velocity (rad/s))
- Formula: ω = α·t + ω₀
- Substitute the values: ω = 10·7 + 5
- Result: ω = 75
Answer: omega = 75
Calculator
How to calculate Angular kinematics
- Write down the formula: ω = ω₀ + αt; θ = ω₀t + ½αt²; ω² = ω₀² + 2αθ.
- Note the known values (α, ω₀, t).
- Substitute them and simplify to find omega.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Angular kinematics?
The formula is ω = ω₀ + αt; θ = ω₀t + ½αt²; ω² = ω₀² + 2αθ, where α = angular acceleration (rad/s²), ω = angular velocity (rad/s), ω₀ = initial angular velocity (rad/s), t = time (s).
What is Angular kinematics when alpha = 7, omega_0 = 5, t = 10?
omega = 75. Substitute the values into ω = ω₀ + αt; θ = ω₀t + ½αt²; ω² = ω₀² + 2αθ and simplify.