Problem 5: A bus contains a 1560 kg flywheel (a disk that has a 0.55 m radius) and has a total mass of 10800 kg.Randomized Variablesm = 1560 kgr = 0.55 mm, = 10800 kgvį = 15 m/sv2 = 2.95 m/sPart (a) Calculate the angular velocity the flywheel must have to contain enough energy to take the bus from rest to a speed of 15 m/s in rad's,assuming 90.0% of the rotational kinetic energy can be transformed into translational energy.sin()cos()tan()89HOMEcotan()asin()acos()E456atan()acotan()sinh()23tanh()O Degrees O Radianscosh()cotanh()+| -ENDvol BACKSPACE D CLEARPart (b) How high a hill can the bus climb with this stored energy and still have a speed of 2.95 m/s at the top of the hill in m?h' =sin()cos()tan()89HOMEE1| 2cotan()asin()acos()456atan()acotan)sinh()3cosh()tanh()cotanh()+END

Answered: Problem 5: A bus contains a 1560 kg…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Problem 5: A bus contains a 1560 kg flywheel (a disk that has a 0.55 m radius) and has a total mass of 10800 kg.
Randomized Variables
m = 1560 kg
r = 0.55 m
m, = 10800 kg
vį = 15 m/s
v2 = 2.95 m/s
Part (a) Calculate the angular velocity the flywheel must have to contain enough energy to take the bus from rest to a speed of 15 m/s in rad's,
assuming 90.0% of the rotational kinetic energy can be transformed into translational energy.
sin()
cos()
tan()
8
9
HOME
cotan()
asin()
acos()
E
4
5
6
atan()
acotan()
sinh()
2
3
tanh()
O Degrees O Radians
cosh()
cotanh()
+| -
END
vol BACKSPACE D CLEAR
Part (b) How high a hill can the bus climb with this stored energy and still have a speed of 2.95 m/s at the top of the hill in m?
h' =
sin()
cos()
tan()
8
9
HOME
E
1| 2
cotan()
asin()
acos()
4
5
6
atan()
acotan)
sinh()
3
cosh()
tanh()
cotanh()
+
END

Expert Solution

Step 1

(a)

The translational K.E. of the bus at the speed, 15 m.s^-1 be calculated as,

Step 2

Given that 90% of the rotational kinetic energy is transformed into translational energy, so the rotational K.E. provided by the flywheel be calculated as,

Step 3

Now the M.I. of the flywheel be calculated as,

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