Physics centripetal acceleration

Question

Calculate the total acceleration path knowing that the angular speed of the ball is 3 Rad/s and it makes a 0.8 m radius 

Circle .

Answer 1

Hi Mar A.,

To find acceleration use the equation a_R = v²/r, where r is the radius and v in the tangential velocity.

You are given r = 0.8 m, and angular speed = 3 rads/s, which you will need to convert to m/s.

The circumference is 2πr = 1.6π m. Therefore 2π rads = 1.6π m, which we use to convert to m/s.

v = 3 rads/s*(1.6π m/2π rads) = 2.4 m/s

a_R = (2.4 m/s)²/0.8 m = 7.2 m/s²

I hope this helps, Joe.