Question

In a carnival ride the passengers travel in a circle of radius $5.0m$, making one complete circle in $4.0s$. What is the acceleration?

• A. $24.6m/s^2$
• B. $12.3m/s^2$
• C. $6.15m/s^2$
• D. $49.2m/s^2$

Answer 1

The correct option is B $12.3m/s^2$

Circumference of the circle $=2\pi r$
$=2\times 3.14\times 5=31.4m$
Velocity, $v=\frac{31.4}{4}=7.85m/s$
Acceleration, $a=\frac{v^2}{r}=\frac{7.85\times 7.85}{5}$
$=12.3m/s^2$