Question

Find the magnitude of the centripetal acceleration of a particle on the tip of a fan blade '0.30 m in diameter rotating at 1200 revolution/minute

Answer 1

The length or the circumference of the rotation for one revolution.

1 revolution = πD

= 3.142 × 0.3 = 0.9426 m

How many revolutions does it make per second?

1minute = 60seconds

Revolutions per second is :

1200/60 = 20 revolutions per second.

The length covered in a second is :

20 × 0.9426 = 18.852 m/s

This is the linear velocity.

The centripetal acceleration equals to :

A = V²/r

r = 0.3 / 2 = 0.15m

18.852² / 0.15 = 2369.32 m/s²

Answer 2

Explanation:

required answer is in above pic ✌