Answer:
D. 247 m/s2
Explanation:
The centripetal acceleration is given by:
\(a=\omega^2 r\)
where
\(\omega\) is the angular speed
r = 1.00 m is the radius of the circular trajectory
The object takes 4.00 seconds to complete 10 revolutions. 1 revolution corresponds to an angle of \(2 \pi rad\), so 10 revolutions correspond to an angle of \(10 \cdot 2 \pi = 20 \pi rad\). The angular speed is therefore
\(\omega = \frac{\Delta \theta}{\Delta t}=\frac{20 \pi}{4.0 s}=15.7 rad/s\)
And so, the centripetal acceleration is
\(a=\omega^2 r = (15.7 rad/s)^2 (1.0 m)=246.5 m/s^2 \sim 247 m/s^2\)
