Question

A motor car is moving with speed 30m/s on a circular path of radius 500m. Its speed is increasing at the rate of $2m/s^2$. What will be its resultant acceleration?

• A. $2.5m/s^2$
• B. $2.7m/s^2$
• C. $2m/s^2$
• D. $4.5m/s^2$

Answer 1

The correct option is B $2.7m/s^2$

$a_c=\frac{v^2}{r}{a}_c=\frac{30\times 30}{500}=\frac{9}{5}=1.8m/s^2{a}_t=2m/s^2{a}_{net}=\sqrt{(1.8{)}^2+(2{)}^2}=\sqrt{7.24}=2.7m/s^2$