Angle Rotated by Wheel (2007) – Rankers Physics
Topic: Circular Motion
Subtopic: Kinematics of Circular Motion

Angle Rotated by Wheel (2007)

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)

$10$
$12$
$4$
$6$

Solution:

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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