Pro A paint mixer machine mixes 3 part red to 1 part blue paint to make a salmon-like paint in the cup. The machine has
Posted: Thu May 05, 2022 5:35 pm
Pro A paint mixer machine mixes 3 part red to 1 part blue paint to make a salmon-like paint in the cup. The machine has two inflow pipes: one controls the inflow of red paint and has diameter d, and average velocity v₁, the other controls the inflow of blue paint with diameter d₂ and average velocity v₂. (a) Find the ratio v₁/v₂ as a function of d, and d₂ to form the salmon paint. = = (b) Let di 3cm and d₂ 1.5cm. The diameter of the cup is deup 6 cm, and the height of the cup is heup = 18 cm. Find v₁ and v2 needed to fill the cup up at a rate of dh/dt = 1 cm/s. How long does it take to completely fill up the cup? (c) If the cup is rotated at an angular velocity of 3 revolution per second, how long does it take before paint spills over the side of the cup? d₁, V₁ T dz, V2 deup