A stone tied to the end of a string of 1, m l | vedclass

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Question

$\begin{array}{l}
{a_r}\, = {\omega ^2}R\
{a_r} = {\left( {2\pi 2} ight)^2}R\
\,\,\,\,\,\, = 4{\pi ^2}{2^2}{R^2} = 4{\pi ^2}{\left( {\frac{{22}

Vedclass · Accepted Answer

${\pi ^2}\,m\,{s^{ - 2}}$ and direction along the radius towards the centre

Vedclass · Answer

$\begin{array}{l}
{a_r}\, = {\omega ^2}R\
{a_r} = {\left( {2\pi 2} ight)^2}R\
\,\,\,\,\,\, = 4{\pi ^2}{2^2}{R^2} = 4{\pi ^2}{\left( {\frac{{22}}{{44}}} ight)^2}\,\,\left( 1 ight)\left[ {	herefore v = \frac{{22}}{{44}}} ight]\
{a_t} = \frac{{dv}}{{dt}} = 0\
{a_{net}} = {a_r} = {\pi ^2}m{s^{ - 2}}\,and\,direction\,along\,the\
redius\,towards\,the\,center.
\end{array}$

A stone tied to the end of a string of $1\, m$ long is whirled in a horizontal circle with a constant speed. If the stone makes $22$ revolution in $44\, seconds$, what is the magnitude and direction of acceleration of the stone?

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