Question

8) A hollow cylinder made of platinum has an outer length l1 = 7 cm and outer radius of r1 = 5 cm and in inner length l2 = 4 cm and inner radius of r2 = 2 cm; it is whirled on the end of a cord 70 cm in length

A) What is the centripetal force if the centripetal acceleration is 25 rad/s2

B) What is the linear velocity?

C) Is the cylinder speeding up or slowing down?

D) What is the linear distance it travels after 19 revolutions?

Answer #1

Calculate the kinetic energy of a hollow cylinder rotating
around its axis of symmetry with constant mass density (height H,
inner radius R1, outer radius R2, mass M, angular velocity w). Use
cylindrical coordinates

2.
A very long cylindrical cable is composed of an inner solid
cylinder of radius R1 and an outer hollow cylinder of radius R2. An
electrical current runs through the inner wire and returns through
the outer wire.(a) Write down the magnetic energy density function
for both inner and outer regions of the cable.(b) What is the
energy per unit length L, for all regions (for inner and outer
regions)

QUESTION 4
A thick cylinder of inner radius 10 cm and outer radius 50 cm
rolls at 4 m/s without slipping. If the cylinder has a mass of 10
kg, what is its moment of inertia?
a.
1.30 kg m^2
b.
3.00 kg m^2
c.
1.25 kg m^2
d.
1.20 kg m^2
QUESTION 5
A thick cylinder of inner radius 10 cm and outer radius 50 cm
rolls at 4 m/s without slipping. What is the rotational (angular)
speed of...

A long, conductive cylinder of radius R1 = 3.40 cm and uniform
charge per unit length λ = 453 pC/m is coaxial with a long,
cylindrical, non-conducting shell of inner and outer radii R2 =
11.9 cm and R3 = 13.6 cm, respectively. If the cylindrical shell
carries a uniform charge density of ρ = 40.5 pC/m3, find the
magnitude of the electric field at the following radial distances
from the central axis:
R1 = 2.58 cm
R2 = 7.65...

1 a- A thick cylinder of inner radius 10 cm and outer radius 50
cm rolls at 4 m/s without slipping. If the cylinder has a mass of
10 kg, what is its linear kinetic energy?
Optional Answers:
1. 80 J
2. 41.6 J 3. 121.6 J 4. 0 J
b- A thick cylinder of inner radius 10 cm and outer radius 50 cm
rolls at 4 m/s without slipping. If the cylinder has a mass of 10
kg, what...

A capacitor is made from two hollow, coaxial, iron cylinders,
one inside the other. The inner cylinder is negatively charged and
the outer is positively charged; the magnitude of the charge on
each is 16.5 pC . The inner cylinder has a radius of 0.650 mm , the
outer one has a radius of 4.00 mm , and the length of each cylinder
is 20.0 cm .
(A) What is the capacitance?
Use 8.854×10−12 F/m for the permittivity of free...

A spherical, non-conducting shell of inner radius r1 = 7 cm and
outer radius r2= 16 cm carries a total charge Q = 18 nC distributed
uniformly throughout the volume of the shell. What is the magnitude
of the electric field at a distance r = 11 cm from the center of
the shell? (k = 1/4πε0 = 8.99 × 109 N.m2/C2)

A solid cylinder of radius r1 = 2.8 cm, length h1 = 5.1 cm,
emissivity 0.93, and temperature 32°C is suspended in an
environment of temperature 52°C. (a) What is the cylinder's net
thermal radiation transfer rate P1? (b) If the cylinder is
stretched until its radius is r2 = 0.45 cm, its net thermal
radiation transfer rate becomes P2. What is the ratio P2/P1?

A solid cylinder of radius r1 = 2.3 cm, length h1 = 5.3 cm,
emissivity 0.84, and temperature 36°C is suspended in an
environment of temperature 64°C. (a) What is the cylinder's net
thermal radiation transfer rate P1? (b) If the cylinder is
stretched until its radius is r2 = 0.44 cm, its net thermal
radiation transfer rate becomes P2. What is the ratio P2/P1?

A solid cylinder of radius r1 = 2.4 cm, length h1 = 4.5 cm,
emissivity 0.86, and temperature 34°C is suspended in an
environment of temperature 57°C. (a) What is the cylinder's net
thermal radiation transfer rate P1? (b) If the cylinder is
stretched until its radius is r2 = 0.46 cm, its net thermal
radiation transfer rate becomes P2. What is the ratio P2/P1?

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