Kinematics of Circular Motion: Practice Problem & Solution
A wheel has angular acceleration of $3.0\text{ rad/sec}^2$ and an initial angular speed of $2.00\text{ rad/sec}$. In a time of $2\text{ sec}$ it has rotated through an angle (in radian) of: (2007)
Short Solution (Best for NEET):
To solve this problem, we apply the core principles of Kinematics of Circular Motion. Understanding the underlying formula is key to arriving at the correct answer below:
Concept: Rotational kinematics equation. Formula: $\theta = \omega_0 t + \frac{1}{2}\alpha t^2$. Solution: $\theta = (2.0)(2) + \frac{1}{2}(3.0)(2)^2 = 4 + 6 = 10\text{ radians}$.
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