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: Calculate the maximum relative centrifugal force (RCF) for the first scenario. The formula for Relative Centrifugal Force (RCF) is: RCF = 1.118 × 10^-5 × r × (rpm)^2 where r is the radius in cm and rpm is the rotational speed in revolutions per minute. Given: • Radius r = 10 cm • Rotational speed rpm = 2500 rpm Substitute the values into the formula: RCF = 1.118 × 10^-5 × 10 cm × (2500 rpm)^2 RCF = 1.118 × 10^-5 × 10 × 6,250,000 RCF = 1.118 × 10^-5 × 62,500,000 RCF = 698.75 The maximum relative centrifugal force applied is 698.75 g. Step 2: Determine the centrifugal effect (RCF) for the second scenario. The rotational speed is given as 450 s^-1, which means 450 revolutions per second (rps). We need to convert this to revolutions per minute (rpm). rpm = 450 rps × 60 s/min = 27000 rpm Assuming the same maximum sample radius r = 10 cm. Substitute the new rpm and radius into the RCF formula: RCF = 1.118 × 10^-5 × r × (rpm)^2 RCF = 1.118 × 10^-5 × 10 cm × (27000 rpm)^2 RCF = 1.118 × 10^-5 × 10 × 729,000,000 RCF = 1.118 × 10^-5 × 7,290,000,000 RCF = 81490.2 The centrifugal effect is 81490.2 g. Got more? Send 'em 📸