Which of the following equations correctly relates the final angular velocity

PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

Which of the following equations correctly relates the final angular velocity ωf\omega_f, the initial angular velocity ωi\omega_i, the constant angular acceleration α\alpha, and the angular displacement θ\theta for an object experiencing constant angular acceleration? (a) ωf2=ωi2+α θ\omega_f^{2} = \omega_i^{2} + \alpha\,\theta (b) ωf2=ωi2−2 α θ\omega_f^{2} = \omega_i^{2} - 2\,\alpha\,\theta (c) ωf2=ωi2+2 α θ\omega_f^{2} = \omega_i^{2} + 2\,\alpha\,\theta (d) ωf=ωi+α θ\omega_f = \omega_i + \alpha\,\theta

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