Answer:
D. 247 m/s2
Explanation:
The centripetal acceleration is given by:
[tex]a=\omega^2 r[/tex]
where
[tex]\omega[/tex] 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 [tex]2 \pi rad[/tex], so 10 revolutions correspond to an angle of [tex]10 \cdot 2 \pi = 20 \pi rad[/tex]. The angular speed is therefore
[tex]\omega = \frac{\Delta \theta}{\Delta t}=\frac{20 \pi}{4.0 s}=15.7 rad/s[/tex]
And so, the centripetal acceleration is
[tex]a=\omega^2 r = (15.7 rad/s)^2 (1.0 m)=246.5 m/s^2 \sim 247 m/s^2[/tex]
