Aparent swings a 18.5 kg child in a circle of radius 1.05m, making 5 revolutions in 13.4s. what centripetal acceleration does the child experience? (unit=m/s^2)

Explanation:

The centripetal acceleration of an object moving in a uniform circular path is given by the following equation:

 (1)

Where:

is the tangential velocity

is the radius of the circle

On the other hand, the tangential velocity  is expressed as:

(2)

Where is the angular velocity, which can be found knowing the child makes 5 revolutions in 13.4s:

(3)

Substituting (3) in (2):

(4)

(5)

Substituting (5) in (1):

 (6)

Finally:

asthenosphere and convection

the part of the wave he is travelling on is the crest