Question:
A wheel has angular acceleration of $3.0 \,rad/s^2$ and an initial angular speed of $2.00 \,rad/s$. In a time of $2\, s$ it has rotated through an angle (in radian) of
A wheel has angular acceleration of $3.0 \,rad/s^2$ and an initial angular speed of $2.00 \,rad/s$. In a time of $2\, s$ it has rotated through an angle (in radian) of
Updated On: Jul 5, 2022
- $6$
- $10$
- $12$
- $4$
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The Correct Option is B
Solution and Explanation
Given : angular acceleration $\alpha=3.0\, rad/s^{2}$
initial angular speed $\omega_{0}=2.00$ rad/s
time $t = 2 \,s$
$\theta$=?
Using, $\theta=\omega_{0}t+\frac{1}{2} \alpha t^{2}$
$\theta=2\times 2+\frac{1}{2}\times3\times2\times2$
$=4+6=10$ radian
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Concepts Used:
Rotational Motion
Rotational motion can be defined as the motion of an object around a circular path, in a fixed orbit.
Rotational Motion Examples:
The wheel or rotor of a motor, which appears in rotation motion problems, is a common example of the rotational motion of a rigid body.
Other examples:
- Moving by Bus
- Sailing of Boat
- Dog walking
- A person shaking the plant.
- A stone falls straight at the surface of the earth.
- Movement of a coin over a carrom board
Types of Motion involving Rotation:
- Rotation about a fixed axis (Pure rotation)
- Rotation about an axis of rotation (Combined translational and rotational motion)
- Rotation about an axis in the rotation (rotating axis)