This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Step 1: Identify the given values. The wheel starts from rest, so the initial angular velocity is _0 = 0 rad/s. The constant angular acceleration is = 2 rad/s^2. The time elapsed is t = 5 s. Step 2: Choose the appropriate kinematic equation for angular motion. To find the final angular velocity () given initial angular velocity, angular acceleration, and time, we use the equation: = _0 + t Step 3: Substitute the given values into the equation. = 0 rad/s + (2 rad/s^2)(5 s) Step 4: Calculate the final angular velocity. = 0 + 10 rad/s = 10 rad/s Step 5: Compare the result with the given options. The calculated angular velocity is 10 rad/s. This matches option b. The final answer is b