Some European trucks run on energy stored in a rotating flywheel, with an electric motor getting the flywheel up to its top speed of 378 Trad/s. Or such flywheel is a solid, uniform cylinder with a mass of 574 kg and a radius of 1.16 m. (a) What is the kinetic energy of the flywheel after charging?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Some European trucks run on energy stored in a
rotating flywheel, with an electric motor getting
the flywheel up to its top speed of 378 Trad/s. One
such flywheel is a solid, uniform cylinder with a
mass of 574 kg and a radius of 1.16 m. (a) What is
the kinetic energy of the flywheel after charging?
(b) If the truck uses an average power of 8.33 kW,
for how many minutes can it operate between
chargings?
(a) Number i
(b) Number i
Units
Units
✪
Transcribed Image Text:Some European trucks run on energy stored in a rotating flywheel, with an electric motor getting the flywheel up to its top speed of 378 Trad/s. One such flywheel is a solid, uniform cylinder with a mass of 574 kg and a radius of 1.16 m. (a) What is the kinetic energy of the flywheel after charging? (b) If the truck uses an average power of 8.33 kW, for how many minutes can it operate between chargings? (a) Number i (b) Number i Units Units ✪
A meter stick is held vertically with one end on the
floor and is then allowed to fall. Find the speed of
the other end just before it hits the floor, assuming
that the end on the floor does not slip. (Hint:
Consider the stick to be a thin rod and use the
conservation of energy principle.)
Number
i
A uniform cylinder of radius 19.7 cm and mass
18.4 kg is mounted so as to rotate freely about a
horizontal axis that is parallel to and 4.32 cm from
the central longitudinal axis of the cylinder. (a)
What is the rotational inertia of the cylinder about
the axis of rotation? (b) If the cylinder is released
from rest with its central longitudinal axis at the
same height as the axis about which the cylinder
rotates, what is the angular speed of the cylinder
as it passes through its lowest position?
(a) Number i
Units
(b) Number i
Units
Units
(>
Transcribed Image Text:A meter stick is held vertically with one end on the floor and is then allowed to fall. Find the speed of the other end just before it hits the floor, assuming that the end on the floor does not slip. (Hint: Consider the stick to be a thin rod and use the conservation of energy principle.) Number i A uniform cylinder of radius 19.7 cm and mass 18.4 kg is mounted so as to rotate freely about a horizontal axis that is parallel to and 4.32 cm from the central longitudinal axis of the cylinder. (a) What is the rotational inertia of the cylinder about the axis of rotation? (b) If the cylinder is released from rest with its central longitudinal axis at the same height as the axis about which the cylinder rotates, what is the angular speed of the cylinder as it passes through its lowest position? (a) Number i Units (b) Number i Units Units (>
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