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.

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Solution

The correct option is A

$t$ = 1 sec, $r$ = 1 cm = 0.01 m

$a$ = 4 $\frac{r d}{s^{2}}$

Therefore $ω$ = $a t$ = 4 $\frac{r a d}{s}$

Therefore radial acceleration,

$A_{n}$ = $ω^{2} r$ = 0.16 $\frac{m}{s^{2}}$ = 16 $\frac{c m}{s^{2}}$

Therefore tangential acceleration, $a_{r}$ = $a r$ = 0.04 $\frac{m}{s^{2}}$ = 4 $\frac{c m}{s^{2}}$ .

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A disc rotates about its axis with a constant angular acceleration of 4 rads2. 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.

The correct option is A t = 1 sec, r = 1 cm = 0.01 m a = 4 rds2 Therefore ω = at = 4 rads Therefore radial acceleration, An = ω2r = 0.16 ms2 = 16 cms2 Therefore tangential acceleration, ar = ar = 0.04 ms2 = 4 cms2.

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