centripetal acceleration

In order for the direction of velocity to be changing such that the object follows a circular path, the accelerations direction must be going inwards towards center of circular path

-Magnitude:

Merry go round exssmple

Both have the same angular velocity

• Constant velocity, thus both are zero acceleration

• Green child has centripetal acceleration, larger radius from center

Centripetal force

Recall: N2L force causes acceleration

For there to be centripetal acceleration, there must be a force present

• Resulting of forces present

Example:

• Centripetal force provided by wall behind rider, pushing them inward

Identifying centripetal force

Ex:

• Forces present: gravity, friction u

• Centripetal force is