A 2.30 kg granite stone is tied to a rope and spun in a circular path of radius 1.18 m. The stone attains a maximum speed of 12.0 m/s. What is the magnitude of the maximum radial acceleration (in m/s2) of the stone

The magnitude of the maximum radial acceleration of the stone is 122.034 m/s^2

Explanation:

Maximum radial acceleration (a) = w^2r

w = v/r

w^2 = (v/r) ^2 = v^2/r^2

a = v^2/r^2 * r = v^2/r

v is the maximum speed the stone attains = 12 m/s

r is the radius of the circular path = 1.18 m

a = 12^2/1.18 = 144/1.18 = 122.034 m/s^2