Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
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 cm10 \text{ cm} rotates about its axis with an angular speed of 20 rad/s20 \text{ rad/s}. Determine the linear speed of the middle point of a radius.

Options

  1. A100 m/s100 \text{ m/s}
  2. B0.5 m/s0.5 \text{ m/s}
  3. C2 m/s2 \text{ m/s}
  4. D1 m/s1 \text{ m/s}

Correct answer

D. 1 m/s1 \text{ m/s}

Step-by-step solution

Given radius of the disc, R=10 cm=0.1 mR = 10 \text{ cm} = 0.1 \text{ m}

Angular speed, ω=20 rad/s\omega = 20 \text{ rad/s}

Distance of the middle point of the radius from the axis of rotation, r=R2=0.12=0.05 mr = \dfrac{R}{2} = \dfrac{0.1}{2} = 0.05 \text{ m}

Linear speed is given by v=rωv = r\omega

v=0.05×20=1 m/sv = 0.05 \times 20 = 1 \text{ m/s}
Practice Rotational Mechanics on Quantrex Academy →

More from Rotational Mechanics

A wheel revolves about its axis with a uniform angular acceleration. Beginning from rest… Concepts Of Physics MCQ Edition [Volume 1]Starting from rest, a wheel is uniformly accelerated at 4 rad/s^2 for 10 seconds.… Concepts Of Physics MCQ Edition [Volume 1]Determine the angular velocity of a body rotating with an acceleration of 2 rev/s^2 as it… Concepts Of Physics MCQ Edition [Volume 1]A body rotates about a fixed axis with an angular acceleration of one… Concepts Of Physics MCQ Edition [Volume 1]A disc of radius 10 cm rotates about its axis with an angular speed of 20 rad/s .… Concepts Of Physics MCQ Edition [Volume 1]A disc rotates about its axis with a uniform angular acceleration of 4 rad/s^2 .… Concepts Of Physics MCQ Edition [Volume 1]A block is suspended from a string wrapped on a disc of radius 20 cm , which is free to… Concepts Of Physics MCQ Edition [Volume 1]Three particles, each having a mass of 200 g , are placed at the corners of an… Concepts Of Physics MCQ Edition [Volume 1] Full Rotational Mechanics list All Concepts Of Physics MCQ Edition [Volume 1] PYQs