A) \[4\,\,m/{{s}^{2}}\]
B) \[3\,\,m/{{s}^{2}}\]
C) \[2.7\,\,m/{{s}^{2}}\]
D) \[8\,\,m/{{s}^{2}}\]
Correct Answer: C
Solution :
[c] Radial acceleration = centripetal acceleration \[\frac{{{v}^{2}}}{r}=\frac{30\times 30}{500}=\frac{9}{5}\] Tangential acceleration \[({{a}_{t}})=2\,m/{{\sec }^{2}}\] Total acceleration \[=\sqrt{{{a}_{t}}^{2}+{{a}_{r}}^{2}}\] \[=\sqrt{{{2}^{2}}+\frac{81}{25}}=\sqrt{4+\frac{81}{25}}=\sqrt{\frac{181}{25}}=2.7\,m/{{\sec }^{2}}\]
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