While riding a merry-go-round, a passenger is traveling at a speed of 1.3 m/s and is experiencing an acceleration of 1 m/s2. later in the ride, the merry-go-round has increased its speed so that the passenger is traveling at 2.6 m/s. what acceleration does this same passenger experience now?

The passenger in the merry-go-round is moving by uniform circular motion, and its centripetal acceleration is given by:

where v is the speed of the passenger and r the radius of the merry-go-round.

We can calculate the radius of the trajectory using the velocity and the acceleration of the first part of the problem:


And since the radius of the trajectory does not change, we can use it now to calculate the centripetal acceleration of the passenger when its speed has increased to 2.6 m/s:

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