A uniform circular disc of radius 50 cm at rest is free to rotate about an axis which is perpendicular to…

A uniform circular disc of radius 50 cm at rest is free to rotate 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 s-2 at the end of 2.0 s is approximately:
  1. 8.0
  2. 7.0
  3. 6.0
  4. 3.0

Solution

At the end of 2sec, w=w0+αt
w=0+22=4 rad/sec
Particle acceleration towards the center is =ac=rw2
ac=1242=8  m/s 2
Tangential acceleration a t =αR
=1 m/s 2
a net = a c 2 + a t 2
= 8 2 + 1 2
= 65 8 (approximately)

Asked in: NEET 2016 (Phase 1)

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