a platter rotates with a period of 3.25 s, and has a radius of 14.7 cm. what is the velocity of the platter…

Explanation:

Step1: Find the angular velocity

The formula for angular velocity $\omega=\frac{2\pi}{T}$, where $T = 3.25\ s$. So $\omega=\frac{2\pi}{3.25}\ rad/s$.

Step2: Convert radius to SI - units

The radius $r = 14.7\ cm=0.147\ m$.

Step3: Calculate the linear velocity

The relationship between linear velocity $v$ and angular velocity $\omega$ is $v = r\omega$. Substitute $\omega=\frac{2\pi}{3.25}\ rad/s$ and $r = 0.147\ m$ into the formula: $v=0.147\times\frac{2\pi}{3.25}\ m/s$. $v = 0.147\times\frac{2\times3.14}{3.25}\ m/s\approx0.285\ m/s$.

Answer:

$0.285$