A cylinder with a radius of 1.8 cm is floating in water as shown below. The mass of the cylinder is 1.80 kg. Calculate the depth of the bottom end of the cylinder (Density of water = 1000 kg/m3; one atmosphere = 1.013 X 105 Pa., 1meter = 100 cm)
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
A cylinder with a radius of 1.8 cm is floating in water as shown below. The mass of the cylinder is 1.80 kg. Calculate the depth of the bottom end of the cylinder
(Density of water = 1000 kg/m3; one atmosphere = 1.013 X 105 Pa., 1meter = 100 cm)
![Intensity level:
m
T = 2n,
k
B=10log
I.
Frequency:
f =
T
Intensity level difference:
Angular frequency:
k
w = 2n f
AB =10log
I,
m
PV = nRT, where R = 8.31 J/mole-K
Maximum Velocity, Acceleration:
A2n f
Ao = A(2nf}
Umax = A@ =
a max =
PV = constant,
PIV1 = P2V2
A = (27 f)
а max
Intensity:
Simple pendulum:
I= Pav
4ar?
T= 2n=
Doppler Shift:
Moving observer: f' = f(v+vo)/v
Speed sound temperature:
Moving source: f' = f(v)/ ( v-vs)
v= f2
Where vo = velocity of observer, vs is the
speed of the source, and v is the
speed of sound
T
U = (331m/s),
273K
Intensity of a wave:
power
Beat frequency fB
\f2- fil
I=
%3D
area
A
bol](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff456c65b-f482-4083-8c37-6fe7d8344e1a%2Fb5b76b22-2f58-4418-9bf2-d4e5caed842e%2F6ltj2g_processed.png&w=3840&q=75)
![Area of circle: A = Tr?
Rate of flow
Q = Av
t = F(sin0)r
T = Fl, wherel= lever arm
Bernoulli's equation:
1
P+
+ pgy, = P, +
1
pv,´ + pgy,
Equilibrium:
Te = T - 273.15°C
Στ=0
9
T =
-T. +32
5
Non-equilibrium:
5
Tc =-(T, - 32)
Στ= Ια
Тетреrature:
Moment of inertial for a point mass
revolving about a center at a distance r:
ΔL L,ΔΤ
AA = y A,AT Y = 2a
AV = BVAT B = 3a
I= Mr?
Kinetic Energy:
Specific Heat:
Translational: ½ mv²
Rotational: ½ Im?
(J/kg. 'C)
mAT
Q = mc(T, –T,)
Angular speed o =v/r
Qcold
=-Qhot
Tensile strain:
EQ = 0
Latent Heat:
F
AL
L.
Y -Young's modulus
phase change: Q=±mL
Energy Transfer:
ΔΤ
P =
At
Density:
Ar
M
p =
V
(kg/m²)
Thermal conductivity:
Pressure:
(T, – T.)
P = kA
L.
F
P=
A
(Ра)
Hooke's Law:
F =-kx
P = P, + pgh
Acceleration in simple harmonic
motion:
Archimedes' principle:
k
a =
B = P fuidV fa
m
fluid8
Elastic potential energy:
РЕ, %3D
-kx²
2
Equation of flow continuity:
Av, = A,v,
Period:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff456c65b-f482-4083-8c37-6fe7d8344e1a%2Fb5b76b22-2f58-4418-9bf2-d4e5caed842e%2Fdrb69e_processed.png&w=3840&q=75)
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