Cual es la rapidez millas por hora de una partícula que gira en círculo de diámetro 3 m. si su aceleración es 20m/s²

12.3 miles/hour

Explanation:

For a particle moving in uniform circular motion, the velocity is related to the (centripetal) acceleration by

where in this problem,

a = 20 m/s^2 is the acceleration

is the radius of the trajectory

Solving for v, we find the velocity:

Now we need to convert this value into miles/hour. We know that:

1 mile = 1609 m

1 h = 3600 s

So we find