A motor car travelling at `30 m//s` on a circular road of radius `500m`. It is increasing its speed at the rate of `2 ms^(-2)`. What its accleration at that instant ?

Options

A. `2(m)/(sec^2)`
B. `2.7(m)/(sec^2)`
C. `1.8(m)/(sec^2)`
D. `9.8(m)/(sec^2)`

Answer

B

Explanation

Net acceleration in non-uniform circular motion,
`a=sqrt(a_t^2+a_c^2)=sqrt((2)^2+((900)/(500))^2)=2.7(m)/(s^2)`
`a_t=` tangential acceleration
`a_c=`centripetal acceleration `=(v^2)/(r )`