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Concepts Of Physics MCQ Edition [Volume 1]

Exam: Concepts Of Physics MCQ Edition [Volume 1]
Subject: Physics
Chapter: Rotational Mechanics

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Rotational Mechanics

A uniform rod having a mass of 300 g and a length of 50 cm rotates...

A uniform rod having a mass of

300 \text{ g}

and a length of

50 \text{ cm}

rotates at a uniform angular speed of

2 \text{ rad/s}

about an axis perpendicular to the rod through one end. Determine the speed of the centre of the rod.

Options

A $50 \text{ cm/s}$
B $75 \text{ cm/s}$
C $25 \text{ cm/s}$
D $100 \text{ cm/s}$

Correct answer

A. $50 \text{ cm/s}$

Step-by-step solution

Given, length of the rod

L = 50 \text{ cm}

and angular speed

\omega = 2 \text{ rad/s}

.

The distance of the centre of the rod from the axis of rotation passing through one end is

r = \dfrac{L}{2} = 25 \text{ cm}

.

The linear speed of the centre of the rod is given by

v = r\omega

.

Substituting the values,

v = 25 \times 2 = 50 \text{ cm/s}

.

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