It is clear that the angle of section of a cone will affect the
shape of...
It is clear that the angle of section of a cone will affect the
shape of the resulting ellipse or hyperbola. We know that the shape
is determined by the eccentricity. Find explicitly a relation
between the two.
A container of yogurt has the shape of the frustrum of a cone.
With the lower base having diameter length 6 cm and the upper base
having diameter length 8 cm, the volume of such a container 7.5 cm
tall can be determined by using H ?? 30 cm and h ?? 22.5 cm. Find
its volum
A dam is inclined at an angle of 30° from the vertical and has
the shape of an isosceles trapezoid 200 ft wide at the top and 100
ft wide at the bottom and with a slant height of 140 ft. Find the
hydrostatic force on the dam when it is full of water. (Round your
answer to the nearest whole number. Recall that the weight density
of water is 62.5 lb/ft3.)
A dam is inclined at an angle of 30° from the vertical and has
the shape of an isosceles trapezoid 40 ft wide at the top and 20 ft
wide at the bottom and with a slant height of 30 ft. Find the
hydrostatic force on the dam when it is full of water. (Round your
answer to the nearest whole number. Recall that the weight density
of water is 62.5 lb/ft3.)
Discuss Tolman’s Cone Angle (TCA) method to quantify the (i)
steric effects and the electronic effects of P-donor ligands.
8(b) Discuss the application of the TCA concept in transition
metal catalysis.
8(c) Why does PMe3 have a larger cone angle than P(OMe)3?
A long, clear, flexible tube is bent into a U shape (open at
both ends), and we pour water into it (density 1000 kg/m3) until
the water reaches the same level on both vertical sides. Now we
pour a 7 cm tall column of mercury into the left side (density
13,600 kg/m3), which does not mix with the water.
(a) When the fluids reach equilibrium, find the difference in
elevation between the top of the mercury (on the left) and...
A water trough is 8 m long and has a cross-section in the shape
of an isosceles trapezoid that is 30 cm wide at the bottom, 80 cm
wide at the top, and has height 50 cm. If the trough is being
filled with water at the rate of 0.1 m3/min how fast is
the water level rising when the water is 40 cm deep?
The cross-section of a nuclear power plant's cooling tower is
in the shape of a hyperbola. Suppose the tower has a base diameter
of
156 meters and the diameter at its narrowest point, 48 meters
above the ground, is 52 meters. If the diameter at the top of the
tower is 104
meters, how tall is the tower?
The tower is about ___ meters tall.
A water trough is 8 m long and has a cross-section in the shape
of an isosceles trapezoid that is 30 cm wide at the bottom, 70 cm
wide at the top, and has height 40 cm. If the trough is being
filled with water at the rate of 0.3 m3/min how fast is
the water level rising when the water is 20 cm deep?