A 350 g mass is attached to a string 120 cm long and swings in a horizontal circle revolving once every 1.7 sec. Calculate the centripetal acceleration of the mass.

4.44 rad/s^2.

Explanation:

1 rev = 1.7 s

Converting rev/s to rad/s,

1/1.7 * 2pi

= 3.7 rad/s

r = 120 cm

= 1.2 m

The speed of the object travelling the circle is:

v = ω * r

But, ω = dθ / dt

The angle θ swept out in a circle,

θ = ω * t

The angular acceleration, α, of the particle is:

α = ω * r

= v^2/r

= 3.7 * 1.2

= 4.44 rad/s^2.

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