Question

A 17.0-kg minivan tire is rolling without slipping with a speed of 5.25 m/s. The tire has a radius of 43.2 cm. Approximate the tire as a disk. Calculate the angular speed, the rotational kinetic energy, and the total kinetic energy of the tire.

Answer #1

A 15.4 kg cart travels at constant speed, and its four wheels
are rolling without slipping. The wheels are disks (radius 0.761 m,
mass 1.39 kg), and they turn at constant ω = 15.5 rad/s. Find the
total kinetic energy of the cart.
NOTE: first, you must find the speed of the cart!

A 44.3 kg cart travels at constant speed, and its four wheels
are rolling without slipping. The wheels are disks (radius 0.88 m,
mass 8.69 kg), and they turn at constant ω = 40.2 rad/s. Find the
total kinetic energy of the cart. NOTE: first, you must find the
speed of the cart!

A 99.1 kg cart travels at constant speed, and its four wheels
are rolling without slipping. The wheels are disks (radius 0.613 m,
mass 3.7 kg), and they turn at constant ω = 85.3 rad/s.
Find the total kinetic energy of the cart.
NOTE: first, you must find the speed
of the cart!

QUESTION 27
A uniform disk of radius 0.40 m and mass 31.0 kg rolls on a
plane without slipping with angular speed 3.0 rad/s. The rotational
kinetic energy of the disk is __________. The moment of inertia of
the disk is given by 0.5MR2.

A 1.6 m radius cylinder with a mass of 8.6 kg rolls without
slipping down a hill which is 5.6 meters high. At the bottom of the
hill, what percentage of its total kinetic energy is invested in
rotational kinetic energy?

otation, Translation, and Kinetic
Energy: A point on the edge of a 4 kg rotating solid
cylindrical disk ( I = 1 2 M R 2) of radius 40 cm moves
through an angle of 4 rads in 2 seconds.
Give all of your answers to 3 significant
digits.
Part 1. What is the: Angular
velocity, Period,
Frequency, Linear Velocity of the
point on the edge of the disk?
rad/s
s
hz
m/s
Part 2. What length (in
meters) has...

A bowling ball of mass 7.23 kg and radius
10.3 cm rolls without slipping down a lane at
2.90 m/s .
Calculate its total kinetic energy.
Express your answer using three significant figures
and include the appropriate units

A solid sphere ( of mass 2.50 kg and radius 10.0 cm) starts
rolling without slipping on an inclined plane (angle of inclination
30 deg). Find the speed of its center of mass when it has traveled
down 2.00 m along with the inclination.
Groups of choices:
a. 3.13 m/s
b. 4.43 m/s
c. 3.74 m/s
d. 6.26 m/s

A cylinder of mass 8.0 kg rolls without slipping on a horizontal
surface. At a certain instant its center of mass has a speed of
15.0 m/s.
(a) Determine the translational kinetic energy of its center of
mass.
J
(b) Determine the rotational kinetic energy about its center of
mass.
J
(c) Determine its total energy.

A spherical shell of radius 2.59 cm and a sphere of radius 9.22
cm are rolling without slipping along the same floor. The two
objects have the same mass. If they are to have the same total
kinetic energy, what should the ratio of the spherical shell\'s
angular speed to the sphere\'s angular speed be?

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