Question

A car is moving with speed $ 30 \,ms^{-1} $ on a circular path of radius $ 500\, m $ . Its speed is increasing at a rate of $ 2\, ms^{-2} $ , what is the acceleration of the car ?

• A. $ 2\,ms^{-2} $
• B. $ 2.7\,ms^{-2} $
• C. $ 1.82\,ms^{-2} $
• D. $ 9.82\,ms^{-2} $

Answer 1

Answer: (B)

Net acceleration in non-uniform circular motion,
$a=\sqrt{a_{t}^{2}+a_{c}^{2}}$
$=\sqrt{(2)^{2}+\left[\frac{900}{500}\right]^{2}}$
$=2.7 ms ^{-2}$