A disc rotates about its axis with a constant angular acceleration of $4$ rad $/ s^{2}$ . Find the radius tangential accelerations of a particle at a distance of $1$ cm from the axis at the end of the second after the disc starts rotating.

0.16 m / s

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

1 m / s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3 m / s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

10 m / s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $0.16 m / s$
Given : $α = 4 r a d / s^{2}$ $r = 0.01 m$
Tangential acceleration $a_{t} = r α = 0.01 \times 4 = 0.04 m / s$
Initial angular velocity $w_{i} = 0$
Time $t = 1 s$
Final angular velocity $w_{f} = w_{i} + α t$
Or $w_{f} = 0 + 4 \times 1 = 4 r a d / s$
Radial acceleration $a_{r} = r w_{f}^{2} = 0.01 \times 4^{2} = 0 .16 m / s$

Suggest Corrections

Similar questions

Q. A disc rotates about its axis with a constant angular acceleration of 4

r a d / s^{2}

. Find the radial and tangential accelerations of a particle at a distance of 1 cm from the axis at the end of the first second after the disc starts rotating.

A disc rotates about its axis with a constant angular acceleration of 4 rad/s $^{2}$ . Find the radial and tangential accelerations of a particle at a distance of 1 cm from the axis at the end of the first second after the disc starts rotating.

A disc rotates about its axis with a constant angular acceleration of 4 $\frac{r a d}{s^{2}}$ . Find the radial and tangential accelerations of a particle at a distance of 1 cm from the axis at the end of the first second after the disc starts rotating.