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Set 1, Due Wed, Jan 19, 2011 at 23:59
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1.
1
. [1 point, 10 tries]
Bicyclists in the Tour de France reach speeds of 27.8 miles per hour (mi/h) on flat
sections of the road. What is the speed in kilometers per hour (km/h)?
Answer:
44.7 km/h
2.
2
. [1 point, 10 tries]
What is the speed in meters per second (m/s)?
Answer:
12.4 m/s
3.
3
. [1 point, 10 tries]
The volume of liquid flowing per second is called volume flow rate
Q
and has the
dimensions of [L]
3
/[T]. The flow rate of liquid through a hypodermic needle during an
injection can be estimated with the following equation:
The length and radius of the needle are
L
and
R
, respectively both of which have the
dimension [L]. The pressures at opposite ends of the needle
P
2
and
P
1
, both which have
dimensions of {[M]/[L][T]
2
}. η represents the viscosity of the liquid and has dimensions
of {[M]/[L][T]}. π stands for pi and, like the number 8 and the exponent n, has no
dimensions. Using dimension analysis, determine the value of
n
in the expression for
Q
(Enter the integer as a decimal with no units).
Answer:
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 Spring '08
 dudley

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