A student uses two mechanical hand-cranked pencil sharpeners, Sharpener 1 and Sharpener 2, to sharpen identical pencils. In Sharpener 1, one full rotation of the crank causes the cutting blades to rotate \(2\) times, whereas in Sharpener 2, one full rotation of the crank causes the cutting blades to rotate \(4\) times. To sharpen a pencil, the blades in either sharpener must rotate through a total angular displacement of \(\Delta \theta_{\text{blade}}\) against a constant resistive torque \(\tau_f\) exerted by the pencil. Assuming the hand crank in each sharpener is turned at a constant angular speed, which of the following correctly compares the work \(W_1\) done by the student using Sharpener 1 to the work \(W_2\) done using Sharpener 2?