physics
Water flows steadily along a uniform flow tube of cross-section 30cm^2. The static pressure is 1.20 x 10^5 Pa and the total pressure is 1.28 x 10^5 Pa. Calculate the flow velocity and the mass of water per second flowing past a section of the tube. (density of water= 1000 kg/m^3)
Reply
Answers
The flow velocity can be calculated using the Bernoulli's equation: Flow velocity = √(2g(Pt-P)/ρ) Where Pt is the total pressure, P is the static pressure, g is the acceleration due to gravity (9.81 m/s^2), and ρ is the density of water (1000 kg/m^3). Using this equation, we get the flow velocity is 0.90 m/s. To calculate the mass of water per second flowing past a section of the tube, we use the equation: Mass flow rate = AVρ Where A is the cross-sectional area of the pipe (30 cm^2), V is the flow velocity (0.90 m/s), and ρ is the density of water (1000 kg/m^3). Using this equation, we get the mass of water per second flowing past a section of the tube is 27 kg/s.
