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
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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
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