1. Convert revolutions per second to angular velocity:
* Frequency (f): 1.6 revs/s
* Angular velocity (ω): 2πf = 2π (1.6 revs/s) ≈ 10.05 rad/s
2. Calculate centripetal acceleration (a_c):
* Centripetal acceleration (a_c): ω²r
* where ω is the angular velocity (in rad/s) and r is the radius of the circle (1.4 m)
* a_c = (10.05 rad/s)² * 1.4 m ≈ 141.4 m/s²
Therefore, the centripetal acceleration of the hammer is approximately 141.4 m/s².