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
Here's the solution for Question 2.2. Given Data: Power (P) = 40 kW Rotational speed (N) = 900 r/minutes Step 1: Convert power to Watts (W). P = 40 kW = 40 × 1000 W = 40000 W Step 2: Convert rotational speed from revolutions per minute (r/minutes) to revolutions per second (r/s). N_rev/s = 900 r/minutes60 s/minute = 15 r/s Step 3: Calculate the angular velocity () in radians per second (rad/s). The angular velocity is given by = 2 N_rev/s. This is the value for 's' in the context of angular speed. = 2 × 15 r/s = 30 rad/s ≈ 30 × 3.14159 rad/s ≈ 94.25 rad/s Step 4: Calculate the Torque (T). The relationship between power, torque, and angular velocity is P = T . T = (P)/() T = 40000 W30 rad/s T = (40000)/(30 ) N·m T = (4000)/(3 ) N·m T ≈ (4000)/(3 × 3.14159) N·m T ≈ (4000)/(9.42477) N·m T ≈ 424.41 N·m That's 4 down. 1 left today — send the next one.