A child attaches a rubber ball to a string and whirls it around in a circle overhead. If the string is 0.2m long and the ball's speed is 16 m/s, what is the ball's centripetal acceleration?

Respuesta :

Answer:

The centripetal acceleration, [tex]a_c = 1280 m/s^2[/tex]

Explanation:

Centripetal acceleration is given by the formula:

[tex]a_c = \frac{v^2}{r}[/tex]

Where the speed of the ball, v = 16 m/s

Length of the string, r = 0.2 m

Substituting these parameters into the centripetal equation above:

[tex]a_c = \frac{16^2}{0.2}\\a_c = \frac{256}{0.2}\\a_c = 1280 m/s^2[/tex]