a platter rotates with a period of 3.86 s, and has a radius of 15.1 cm. what is the velocity of the platter…

a platter rotates with a period of 3.86 s, and has a radius of 15.1 cm. what is the velocity of the platter? v = ? cm/s

a platter rotates with a period of 3.86 s, and has a radius of 15.1 cm. what is the velocity of the platter? v = ? cm/s

Answer

Explanation:

Step1: Find the circumference

The formula for the circumference of a circle is $C = 2\pi r$. Given $r = 15.1$ cm, so $C=2\pi\times15.1$.

Step2: Calculate the velocity

The velocity $v=\frac{d}{t}$, where $d$ is the distance traveled in one - period (circumference $C$) and $t$ is the period. The period $t = 3.86$ s. So $v=\frac{2\pi\times15.1}{3.86}$. $v=\frac{2\times3.14\times15.1}{3.86}=\frac{94.828}{3.86}\approx24.6$ cm/s.

Answer:

24.6