Question

a stone is tied to one end of a string and is whirled in a horizontal circle of radius 1m at 20 revolution per minute calculate the angular velocity and linear speed of the stone also find the centripetal acceleration​

Answer 1

 Answer:

The angular velocity is 2.094 rad/sec, linear velocity is 2.094 m/s and centripetal acceleration is 4.384 m/s²

Step by step explanation:

Step 1: Prerequisite Knowledge

Formula for calculating :

Angular velocity= $\theta/t$

linear velocity = $\omega r$

centripetal acceleration= $\frac{v^{2} }{r}$

Step 2: Calculation

Angular Velocity $(\omega) = \frac{(20)(2\pi)}{60 sec}$

(since, one revolution is equal to 2π radians and one minute has 60 seconds.)

$\omega= \frac{2\pi}{3} rad/sec$ = 2.094 rad/sec

from formula,

v=2.094×1 m

 = 2.094 m/s

again,

$a_{c}= \frac{v^{2} }{r}$

    = (2.094)²/1 m

    = 4.384 m/s²