Question

From this week's lab you learned that the change in
gravitational potential energy of a falling body can be captured
and stored as a rotational kinetic energy of a spinning disk. This
gave you the idea of a regenerative driver for an elevator in a
tall building. When an elevator goes down the corresponding change
in the gravitational potential energy of the elevator is
transformed into the rotational kinetic energy of a solid
disk-shape flywheel which can be extracted and used to lift up the
elevator when needed.

(a) You consider a flywheel in a solid disk geometry of radius
*R* = 0.85 *m* and thickness *t* = 26
* cm* made out of carbon fiber reinforced
polymer (CFRP) of mass density

Consider an elevator in a 35-story tall building driven by this flywheel. The floor-to-floor (vertical) distance is 3.7

(b) The elevator is used to transport down 3 identical heavy cargos from the floor number 26 to the floor number 4. Each cargo's mass is 841

Answer #1

**solution:** In this problem, we have to use the
principle of conservation of mechanical energy. follow the steps, I
have shown below.

Determine the gravitational potential energy of the 500
g cart with respect to the floor if it were to sit at rest on a
table in your home. Direction 1 KE = 0.076 kg *m/s Direction 2 KE =
0.190 kg*m/s.
What specific data do you need to collect to determine
the potential energy of the cart?
Record these data, clearly identifying each numerical
value and its units.
Calculate the potential energy of the cart.
Why was it necessary to...

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 car is fitted with an energy-conserving flywheel, which in
operation is geared to the driveshaft so that the flywheel rotates
at 240 rev/s when the car is traveling at 80 km/h. The total mass
of the car is 950 kg; the flywheel weighs 200 N and is a uniform
disk 1.1 m in diameter. The car descends a 1300-m-long, 5° slope,
starting from rest, with the flywheel engaged and no power
generated from the engine. Neglecting friction and the...

A truck with total mass 3000 kg uses a 320 kg flywheel to store
energy. Model the flywheel as a disk with radius 0.75 m. Assume
that 90% of the kinetic energy stored in the flywheel can be
converted into linear kinetic energy.
What should the angular velocity of the flywheel be to take the
truck from 0 to 15 m/s?
Using the stored energy in the flywheel, how high a hill can
the truck climb and still have a...

Plot the gravitational potential energy of a 2 kg ball as a
function of height above the floor, presuming the potential energy
is zero at the floor. If the ball has an initial velocity (at
height h=0) of 12 m/s, plot both the total energy and the kinetic
energy of the ball as a function of h. What is the maximum height
attained by the ball?

Please be detailed! Will rate!
An elevator carries a group of people from the ground floor to
the third floor of a building. The elevator and passengers have a
combined mass of 2600 kg. The height of one floor is 4.5 m. If the
elevator moves at a constant speed and goes from the ground floor
to the third floor in one minute, calculate the work done on the
elevator by gravity, the work done on the elevator by the...

A disk with mass m = 10.3 kg and radius R = 0.34 m begins at
rest and accelerates uniformly for t = 16.8 s, to a final angular
speed of ω = 26 rad/s.
1)
What is the angular acceleration of the disk?
rad/s2
2)
What is the angular displacement over the 16.8 s?
rad
3)
What is the moment of inertia of the disk?
kg-m2
4)
What is the change in rotational energy of the disk?
J
5)...

A car is designed to get its energy from a rotating flywheel in
the shape of a uniform, solid disk of radius 0.550 m and mass 560
kg. Before a trip, the flywheel is attached to an electric motor,
which brings the flywheel's rotational speed up to 5.10 ✕ 103
rev/min.
a)Find the kinetic energy stored in the flywheel (in J).
b)If the flywheel is to supply energy to the car as a 12.0 hp
motor would, find the length...

A bus contains a 2,353 kg flywheel (a disk that has a 1.9 m
radius) and has a total mass of 10,641 kg. Assume 90.0% of the
rotational kinetic energy of the flywheel can be transformed into
translational energy of the bus. what is the angular velocity in
unit of round per minute the flywheel must have to contain enough
energy to take the bus from rest to climb a hill of height 16.7
meters and still have a speed...

What is the change in gravitational potential energy of 9.00- kg
mass that is carried from the surface of the earth to a distance of
one earth radius above the surface? Please show all work.

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