Uncategorized: Practice Problem & Solution

Solution Explained:

To solve this problem, we apply the core principles of Uncategorized. Understanding the underlying formula is key to arriving at the correct answer below:

Given: Radius \( r = 30 text{ cm} = 0.30 text{ m} \). Frequency \( f = 120 text{ rpm} = frac{120}{60} = 2 text{ rps} \). Angular velocity \( omega = 2pi f = 2pi (2) = 4pi text{ rad/s} \). The centripetal acceleration is \( a_c = romega^2 \). Thus, \( a_c = 0.30 times (4pi)^2 = 0.30 times 16pi^2 approx 0.30 times 16 times (3.14159)^2 approx 47.37 text{ m s}^{-2} \). Approximately \( 47.4 text{ m s}^{-2} \).