Ch. 10 Key Equations - University Physics Volume 1 _ OpenStax.pdf

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Unformatted text preview: 11/1/21, 2:18 PM Ch. 10 Key Equations - University Physics Volume 1 | OpenStax Key Equations Angular position = Angular velocity = lim Δ→0 Tangential speed t = Angular acceleration = lim Δ→0 Δ = Δ Δ = Δ Tangential acceleration t = Average angular velocity – = Angular displacement – f = 0 + Angular velocity from constant angular acceleration Angular velocity from displacement and constant angular acceleration 2 = 2 0+ f 2 f = 0 + 1 f = 0 + 0 + Change in angular velocity Total acceleration ⃗ = ⃗ c + ⃗ t 2 f 2 = 0 2 2 + 2(Δ) Rotational kinetic energy = 1 2 (∑ Moment of inertia = ∑ 2 2 ) 2 Rotational kinetic energy in terms of the = 1 2 2 1/2 11/1/21, 2:18 PM Ch. 10 Key Equations - University Physics Volume 1 | OpenStax moment of inertia of a rigid body Moment of inertia of a continuous object = Parallel-axis theorem parallel-axis = center Moment of inertia of a compound object total = 2 ∫ ∑ + 2 Torque vector ⃗ ⃗ = ⃗ × Magnitude of torque ∣⃗ ∣ = ⊥ ∣ ∣ Total torque of mass net ⃗ = ∑ ∣ ⃗ ∣ Newton’s second law for rotation Incremental work done by a torque ∑ = = (∑ Work-energy theorem Rotational work done by net force ) = − = ∫ Rotational power (∑ ) = 2/2 ...
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