Circular motion

The mass point regularly moves in a circle with radius r = $r m angular velocity ω = 4.3 rad/s. Calculate the period, frequency, and centripetal acceleration of this movement.

Correct answer:

T =  1.46 s
f =  0.68 Hz
a =  20.34 m/s²

Step-by-step explanation:

$$\begin{gathered} r=1.1\text{m} \\ \omega =4.3\text{rad/s} \\ \omega =2\pi f \\ f=1/T \\ \omega =2\pi /T \\ T=\frac{2\pi }{\omega }=\frac{2\cdot 3.1416}{4.3}=1.46\text{s} \end{gathered}$$

$f=\frac{1}{T}=\frac{1}{1.4612}=0.68\text{Hz}$

$a=r\cdot {\omega }^2=1.1\cdot 4.3^2=20.34{\text{m/s}}^2$

Try another example