The centripetal force acting on a particle moving in a circular path is calculated by measuring its mass, speed, and the radius of the path. If the percentage errors in the measurement of mass, speed, and radius are 1 % , 1.5 % , and 2 % respectively, the maximum percentage error in the calculated centripetal force will be:

Step-by-step solution

The formula for centripetal force is given by: F = mv^2 r The maximum percentage error in the measurement of force is: F F 100 = m m 100 + 2 ( v v 100 ) + r r 100 Given the percentage errors: m m 100 = 1 % v v 100 = 1.5 % r r 100 = 2 % Substituting these values into the error equation: F F 100 = 1 % + 2(1.5 %) + 2 % F F 100 = 1 % + 3 % + 2 % = 6.0 % Answer: 6.0 %