A) \[5.4\text{ }m{{s}^{-}}^{2}\]
B) \[3.9\text{ }m{{s}^{-}}^{2}\]
C) \[2.7\,\,m{{s}^{-2}}\]
D) \[2.1\,\,m{{s}^{-}}^{2}\]
Correct Answer: C
Solution :
Centripetal acceleration, \[{{a}_{c}}=\frac{{{v}^{2}}}{r}\,\,=\,\,\frac{{{(30)}^{2}}}{500}\,\,=\,\,1.8\,m/s\] \[\therefore \,\,\,\text{ }Total\text{ }acceleration,\] \[a=\sqrt{{{({{a}_{c}})}^{2}}+{{({{a}_{t}})}^{2}}}\] \[=\,\,\sqrt{{{(1.8)}^{2}}+{{(2)}^{2}}}\,\,=\,\,2.7m/{{s}^{2}}\]
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