Answer:
. The SI unit of volume is the cubic meter (m3), which is a derived unit.
Liter (L) is a special name for the cubic decimeter (dm3).
Average velocity= initial velocity + final velocity/ 2
Answer:
a) r = 6.81 cm : radius of the sphere
b) A = 582.78 cm² : surface area of the sphere
c) V = 1322.91 cm³ : volume of the sphere
Explanation:
Formula to calculate the surface area of the sphere:
A = 4×π×r² Formula (1)
Formula to calculate the volume of the sphere:
V = (4/3)×π×r³ Formula (2)
Problem development
a)
d = 5.36 in
1 in = 2.54 cm
r = d/2
Where:
r: sphere radius (cm)
d: sphere diameter (cm)
r = 13.614/2 = 6.81 cm
b)
We replace in formula (1)
A = 4×π×(6.81)² = 582.78 cm²
c)
We replace in formula (2)
V = (4/3)×π×(6.81)³ = 1322.91 cm³
Answer:
h = 6.39 m
Explanation:
radius = 6/2 =3in= 3/12 in/ft = 0.25 ft
apply continuity equation to evaluate the velocity
flow rate = area * velocity
2.2 = π(0.25^2) * V
⇒ V = 11.2 ft/s
*assuming there is no applied pressure difference along the pipe
applying Energy conservation law
initial potential energy = final kinetic energy
pgh = (1/2)*pv^2
where p = density
v = velocity
plugging in the values:
p cancels out on both the sides
⇒ 9.81 * h = (11.2^2)/2
h = 6.39 m
Given there is a standing wave a 200 and 250Hz, and there are none between 250 and 300Hz, we know that the difference in frequency between each harmonic is 50Hz.
Therefore, the fundamental frequency (the lowest that can be achieved), is 50Hz, as it is 0+the difference in frequency between each harmonic.
The third harmonic is 3x50 = 150Hz, as the 1st harmonic is the fundamental frequency, the 2nd is the fundamental frequency plus the difference between each harmonic and so on.