A disc of radius 10 cm rotates about its axis with an angular speed of 20 rad/s . Determine the linear speed of a point situated on the rim.

Correct answer: D. 2 m/s Given the radius of the disc, r = 10 cm = 0.1 m Angular speed, ω = 20 rad/s The linear speed v of a point situated on the rim is given by the relation: v = rω Substituting the given values: v = 0.1 × 20 = 2 m/s

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 disc of radius 10 cm rotates about its axis with an angular speed...

A disc of radius

10 \text{ cm}

rotates about its axis with an angular speed of

20 \text{ rad/s}

. Determine the linear speed of a point situated on the rim.

Options

A $1 \text{ m/s}$
B $200 \text{ m/s}$
C $0.5 \text{ m/s}$
D $2 \text{ m/s}$

Correct answer

D. $2 \text{ m/s}$

Step-by-step solution

Given the radius of the disc,

r = 10 \text{ cm} = 0.1 \text{ m}

Angular speed,

\omega = 20 \text{ rad/s}

The linear speed

v

of a point situated on the rim is given by the relation:

v = r\omega

Substituting the given values:

v = 0.1 \times 20 = 2 \text{ m/s}

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