the tip of a fan blade is 0.61 m from the center of the fan. the fan turns at a constant speed and completes…

Explanation:

Step1: Calculate the angular velocity $\omega$

The fan makes 2 rotations in 1.0 s. One - rotation is $2\pi$ radians. So, $\omega = 2\times2\pi\ rad/s= 4\pi\ rad/s$.

Step2: Use the centripetal - acceleration formula

The centripetal - acceleration formula is $a = r\omega^{2}$, where $r = 0.61\ m$ and $\omega=4\pi\ rad/s$. $a=0.61\times(4\pi)^{2}$ $a = 0.61\times16\pi^{2}$ $a=0.61\times16\times9.87$ (since $\pi^{2}\approx9.87$) $a = 0.61\times157.92$ $a\approx96\ m/s^{2}$

Answer:

$96\ m/s^{2}$