Question

1. Conceptual questions a. Is the following equation dimensionally homogeneous? Here, T is torque and wis angular velocity. Explain your answer. P2 1 P1 - + - d P 2 Τω gz, + - 21 = - + - 0 p 2 ' m b. The following is Euler's equation for turbine power. Where Pturbine is the power output of the turbine, p is the density of water, and Vti is the tangent velocity of the turbine blades at the i-th section. What physical quantity is missing to make this equation dimensionally homogeneous? Pturbine = P(?)(va - Vi}) c. The area of the bottom and the depth of water are the same in these containers, but the volume of water is different. How does the hydrostatic force on the bottom compare? Why?

Answer 1

DATE: 2 + g Z₂+ Tw m 2 ev - kg kg in the 97,- men slegte As, all teams have not same unit Colime & Arower No The given equation is not a dimensionally homogeneous. Pturbine = g(?) 1 - 1 check through unit, West - kg , ? x m2

PAUENU.. DATE: 1 sec m² - Unit of Discharge Q Hencer Physical missing quantity – Discharge el Answer is some Hese, Pressue in Hydrostatic - here F all ③ contains force F . F 7 F Contonnes having highest volume of water. compare to other two So The hydraustatic force on the bottom susface is more in container 1