Question

Mechanics question:

A car has a mass of 2630 kg. The mass of the wheel is 6kg. The mass of the tire is 25 kg. The radius of the wheel is 0.4 meters, and the radius of the tire is 0.2 meters.

Assuming that the shape of the wheels is a solid cylindrical disc, determine the moment of inertia of the wheel. And assuming that the shape of the tire is a thin cylinder shell, determine the moment of inertia of the tire.

If this car travels at exactly 45 miles per hour, what is the translational kinetic energy of this car?

What is the angular speed of the tire and the angular speed of the wheel? Determine the rotational kinetic energy of the wheels and the tires.

What is the rotational kinetic energy of the wheels and the rotational kinetic energy of the tires?

What percentage of the total kinetic energy is from the rotational kinetic energy?

Answer #1

A car has a mass of 2630 kg. The mass of the wheel is 6kg. The
mass of the tire is 25 kg. The radius of the wheel is 0.4 meters,
and the radius of the tire is 0.2 meters.
Assuming that the shape of the wheels is a solid cylindrical
disc, determine the moment of inertia of the wheel. And assuming
that the shape of the tire is a thin cylinder shell, determine the
moment of inertia of the...

The 1400-kg mass of a car includes four tires, each of mass
(including wheels) 34 kg and diameter 0.80 m. Assume each tire and
wheel combination acts as a solid cylinder.
A. Determine the total kinetic energy of the car when traveling
92 km/h .
B. Determine the fraction of the kinetic energy in the tires and
wheels.
C. If the car is initially at rest and is then pulled by a tow
truck with a force of 1400 N...

7. A 500 kg car goes around turn in the road that has a radius
of curvature of 5 m. The car is traveling at a constant speed of 10
m/s.
(i) What is the centripetal force required to keep the car from
sliding out as it goes around the turn?
(ii) What must be the coefficient of friction between the tires
of the car and the road in order for the car to not sliding as it
goes around...

Now your bicycle wheel is rotating with an angular speed of 46.4
rad/s. The wheel has a mass of 3.2 kg and a radius of 45.8 cm.
Treat the wheel as a solid thin disc.
(a)Calculate the rotational kinetic energy of the wheel in
J.
(b)Calculate the angular speed the wheel must have if its
rotational kinetic energy is doubled, in rad/s.

A potter's wheel is a disk that has a mass of 5.0 kg and a
radius of 0.5 m. When turned on, a motor spins up the wheel with a
constant torque of 7.0 N·m for 10.0 seconds. Note: the moment of
inertia of a solid disk is given by 1/2 MR2. Also, there
is no translational motion, the wheel simply spins in place.
a. [8 pts.] Find the wheel's angular acceleration in
radians/sec2 during these 10 s.
b. [8...

A bicycle wheel has a mass of 2.0 kg and a radius of 60 cm. With
the wheel initially at rest, a torque of 0.36 N-m is then applied.
What is the angular speed of the tire after 5 seconds? The moment
of inertia of a wheel is mR2.
A. 0.5 rad/s
B. 1.0 rad/s
C. 1.5 rad/s
D. 2.5 rad/s
E. 5.0 rad/s

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.

1) a)
Consider a particle of mass m = 22.0 kg revolving around an axis
with angular speed ω omega. The perpendicular distance from the
particle to the axis is r = 1.75 m . (Figure 1)
Which of the following are units for expressing rotational
velocity, commonly denoted by ωωomega?
Check all that apply.
( ) radians per second
( ) degrees per second
( ) meters per second
( ) arc seconds
( ) revolutions per second
1)...

A 0.50 m radius, 1.5 kg wheel is
accelerated from rest at 3.00 rad/s2 for 8.00
seconds. Find the following:
Given:
a. The moment of inertia of the wheel.
b. The torque acting on the wheel.
c. The final angular velocity after the 8 seconds.
d. The final rotational kinetic energy after the 8 seconds.

A clutch plate initial consists of wheel A rotating about its
body axis through the center of the wheel. Wheel B is initially at
rest.
Wheel A and B are then brought together so that they may be
considered a single composite wheel turning with the same angular
velocity. This causes the rotation to slow. We wish to find the
final angular velocity given the following conditions:
Mass of wheel A is 10 kg. Its radius is 3 meters. The...

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