Why is the following situation impossible? In a large city with an air-pollution problem, a bus has no combustion engine. It runs over its citywide route on energy drawn from a large, rapidly rotating flywheel under the floor of the bus. The flywheel is spun up to its maximum rotation rate of 3 000 rev/min by an electric motor at the bus terminal. Every time the bus speeds up, the flywheel slows down slightly. The bus is equipped with regenerative braking so that the flywheel can speed up when the bus slows down. The flywheel is a uniform solid cylinder with mass 1 200 kg and radius 0.500 m. The bus body does work against air resistance and rolling resistance at the average rate of 25.0 hp as it travels its route with an average speed of 35.0 km/h.
Why is the following situation impossible? In a large city with an air-pollution problem, a bus has no combustion engine. It runs over its citywide route on energy drawn from a large, rapidly rotating flywheel under the floor of the bus. The flywheel is spun up to its maximum rotation rate of 3 000 rev/min by an electric motor at the bus terminal. Every time the bus speeds up, the flywheel slows down slightly. The bus is equipped with regenerative braking so that the flywheel can speed up when the bus slows down. The flywheel is a uniform solid cylinder with mass 1 200 kg and radius 0.500 m. The bus body does work against air resistance and rolling resistance at the average rate of 25.0 hp as it travels its route with an average speed of 35.0 km/h.
Solution Summary: The author explains that the bus cannot travel on its route with the average speed because the distance is too small. The formula to calculate the work done by the flywheel is, W=12Iome
Why is the following situation impossible? In a large city with an air-pollution problem, a bus has no combustion engine. It runs over its citywide route on energy drawn from a large, rapidly rotating flywheel under the floor of the bus. The flywheel is spun up to its maximum rotation rate of 3 000 rev/min by an electric motor at the bus terminal. Every time the bus speeds up, the flywheel slows down slightly. The bus is equipped with regenerative braking so that the flywheel can speed up when the bus slows down. The flywheel is a uniform solid cylinder with mass 1 200 kg and radius 0.500 m. The bus body does work against air resistance and rolling resistance at the average rate of 25.0 hp as it travels its route with an average speed of 35.0 km/h.
Curve Fitter
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DATA
FIT TYPE
FIT
Harmonic Motion X
us
0.45
mi
ce
0.4
0.35
0.3
0.25
0.2
Residuals Plot
Contour Plot
Plot Prediction Bounds None
VISUALIZATION
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Fit Options
COA Fourier
Equation
Fit Plot
x vs. t
-Harmonic Motion
a0+ a1*cos(x*w) +
b1*sin(x*w)
Number of terms
Center and scale
1
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Results
Value
Lower
Upper
0.15
a0
0.1586
0.1551
0.1620
a1
0.0163
0.0115
0.0211
0.1
b1
0.0011
-0.0093
0.0115
W
1.0473
0.9880
1.1066
2
8
10
t
12
14
16
18
20
Goodness of Fit
Value
Table of Fits
SSE
0.2671
Fit State Fit name
Data
Harmonic Motion x vs. t
Fit type
fourier1
R-square
0.13345
SSE
DFE
0.26712
296
Adj R-sq
0.12467
RMSE
0.030041
# Coeff
Valic
R-square
0.1335
4
DFE
296.0000
Adj R-sq
0.1247
RMSE
0.0300
What point on the spring or different masses should be the place to measure the displacement of the spring? For instance, should you measure to the bottom of the hanging masses?
Let's assume that the brightness of a field-emission electron gun is given by
β
=
4iB
π² d²α²
a) Assuming a gun brightness of 5x108 A/(cm²sr), if we want to have an electron beam with a
semi-convergence angle of 5 milliradian and a probe current of 1 nA, What will be the
effective source size? (5 points)
b) For the same electron gun, plot the dependence of the probe current on the parameter
(dpa) for α = 2, 5, and 10 milliradian, respectively. Hint: use nm as the unit for the
electron probe size and display the three plots on the same graph. (10 points)
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