As shown in Video V1.9, surface tension forces can be strong enough to allow a double-edge steel razor blade to "float" on water, but a single-edge blade will sink. Assume that the surface tension forces act at an angle \(\theta\) relative to the water surface as shown in Fig. P1.124.

(a) The mass of the double-edge blade is \(0.64 \times 10^{-3} \mathrm{~kg}\), and the total length of its sides is \(206 \mathrm{~mm}\). Determine the value of \(\theta\) required to maintain equilibrium between the blade weight and the resultant surface tension force.

(b) The mass of the single-edge blade is \(2.61 \times 10^{-3} \mathrm{~kg}\), and the total length of its sides is \(154 \mathrm{~mm}\).

Explain why this blade sinks. Support your answer with the necessary calculations.

Figure P1.24

Transcribed Image Text:

Blade Surface tension force