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3-2.Motion in Plane
easy
A car is travelling with linear velocity $v$ on a circular road of radius $r$. If it is increasing its speed at the rate of $'a'$ $meter/{\sec ^2}$, then the resultant acceleration will be
A$\sqrt {\left\{ {\frac{{{v^2}}}{{{r^2}}} - {a^2}} \right\}} $
B$\sqrt {\left\{ {\frac{{{v^4}}}{{{r^2}}} + {a^2}} \right\}} $
C$\sqrt {\left\{ {\frac{{{v^4}}}{{{r^2}}} - {a^2}} \right\}} $
D$\sqrt {\left\{ {\frac{{{v^2}}}{{{r^2}}} + {a^2}} \right\}} $
Solution
(b) ${a_{{\rm{resultant}}}} = \sqrt {a_{{\rm{radial}}}^{\rm{2}} + a_{{\rm{tangential}}}^{\rm{2}}} = \sqrt {\frac{{{v^4}}}{{{r^2}}} + {a^2}} $
Standard 11
Physics
