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3-2.Motion in Plane
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A car is moving with speed $30$ $m/\sec $ on a circular path of radius $500\, m$. Its speed is increasing at the rate of $2m/{\sec ^2},$ What is the acceleration of the car ........ $m/sec^2$
A$2$
B$2.7$
C$1.8$
D$9.8$
Solution
(b) Net acceleration in nonuniform circular motion,
$a = \sqrt {a_t^2 + a_c^2} $ $ = \sqrt {{{(2)}^2} + {{\left( {\frac{{900}}{{500}}} \right)}^2}} = 2.7\,m/{s^2}$
${a_t} = $tangential acceleration
${a_c} = $centripetal acceleration $ = \frac{{{v^2}}}{r}$
$a = \sqrt {a_t^2 + a_c^2} $ $ = \sqrt {{{(2)}^2} + {{\left( {\frac{{900}}{{500}}} \right)}^2}} = 2.7\,m/{s^2}$
${a_t} = $tangential acceleration
${a_c} = $centripetal acceleration $ = \frac{{{v^2}}}{r}$
Standard 11
Physics
