A woman rides a carnival Ferris wheel at radius 15 m, completing five turns about its horizontal axis every minute. What are (a) the period of the motion, the (b) magnitude and (c) direction of her centripetal acceleration at the highest point, and the (d) mag- nitude and (e) direction of her centripetal acceleration at the lowest point

Explanation:

a ) period of motion = 60 / 5 = 12 s

b ) At the highest level

centripetal acceleration will always be towards the centre so it will be vertically downwards

magnitude

= ω²R

= (2π / T )² R

= (4π² / T² )x R

= (4π² / 12²)x 15

= 4.1 m s⁻²

b ) At the lowest level

centripetal acceleration will always be towards the centre so it will be vertically upwards

Magnitude

Magnitude will be same because woman is moving with uniform speed and radius is also same.

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