1. Tardigrade
  2. Question
  3. Physics
  4. A uniform circular disc of radius 50 cm at rest is free to turn about an axis which is perpendicular to its plane and passes through its centre. It is subjected to a torque which produces a constant angular acceleration of 2.0 rad s-2. Its net acceleration in ms-2 at the end of 2.0 s is approximately :

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A uniform circular disc of radius 50 cm at rest is free to turn about an axis which is perpendicular to its plane and passes through its centre. It is subjected to a torque which produces a constant angular acceleration of $2.0 \, rad \, s^{-2}$. Its net acceleration in $ms^{-2}$ at the end of 2.0 s is approximately :

NEETNEET 2016System of Particles and Rotational Motion

Solution:

Particle at periphery will have both radial and tangential acceleration
$a_t = R_{\alpha} = 0.5 \times 2 = 1 \, m/s^2$
$\omega = \omega_0 + \alpha t$
$\omega = 0 + 2 \times 2 = 4 $ rad/sec
$a_c = \omega^2 R = (4)^2 \times 0.5 = 16 \times 0.5 = 8 \, m/s^2$
$a_{total} = \sqrt{a^2_p + a_c^2} = \sqrt{1^2 + 8^2} \approx 8 m/ s^2$