Constants A test tube filled with liquid of uniform density ρ, as shown in the figure,...
A U tube of uniform oss section is party filled with water (density Av). Another liquid of density ρ that does not mix with water is poured no one side unti it stands a distance d above the original water level. The water level rises by a distance I in the other arm (see the figure below). Find the density of the liquid relative to that of water in terms of d and I Pw
A cyclindrical container filled with a liquid of density p rotates about an axis through its center with an angular velocity w. A Cartesian coordinate system in standard orientation is introduced with its origin at the lowest point on the fluid surface. The pressure above the liquid surface is P_0. (a) Notice that a thin imaginary tube with cross-section area A lies along the -axis. Draw a free boy diagram for a slice of liquid within this tube, lying between...
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Consider a tank filled with a liquid of constant density ρ up to an initial height ho in Earth. If the tank is moving with a constant linear acceleration ao, it is known from Fluidstatics that the isobars (lines with constant pressure) and therefore the free surface become a straight Line whose slope is a linear function of ao. If a0-0 then the surface becomes flat. On the other hand, if the tank is subject to rigid body...
-Ja A Figure 2: A model of a tennis racket 5. A tennis racket is modeled as a uniform lamina of an areal density ρ [kg m-2] that has a shape of an ellipse with the semi-major axis a and semi-minor axis b and a mass m 4Tbp with attached to it uniform rod of length 2a and mass m. The origin of the Cartesian system of coordinates Oryz is placed at the centre of the ellipse as shown in...
Q1 20 points. Two tanks contain liquid filled to the same depth h as shown below Liquid A: Has a constant density pAPo Liquid B: The density varies with position acording to the formula pn() where the coordinate z is shown in the figure. 0 is the bottom of each tank while z = h is the top of the liquid surface exposed to atmosphere. The : liquids are in hydrostatic equilibrium. Two tanks containing liquids with the same depth...
Consider the steady, incompressible flow of depth h of a liquid
of known density ρ and unknown viscosity µ down a flat plate as
shown in Figure 1. Air is the fluid above the liquid layer. The
force of gravity is in the vertical direction with acceleration g,
and the plate is at an angle θ with respect to the horizontal.
Assuming the coordinate system as shown, with x aligned with the
flow direction, and y normal to the plate,...
QUESTION 5 A angular coil of wire H 24 c n by L-34 c and car yng a cu ent of 1.6 A İs one ted with the plane of its loop pe pendicular to a uniform 1.6 T magnetic field as shown in the figure. The coil is then rotated through a 28° angle into the plane. Calculate the torque that the magnetic field exerts on the coil. Hint: In order to help visualize this three-dimensional problem, make a...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...