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unit conversion

1. Convert the following numbers to SI:
a. 56.8 in =
b. 1 year =
c. 34.8 atm =
d. 8.3 Btu/min =
e. 38.96 ft/min
f. 98.6 furlongs per fortnight
g. 34.5 in pdl
h. 15.8 gal/min

2. Perform the following conversions:
a. 34.589 Pa to psia
b. 34.6 m/s to mph
c. 89.6 L to m3
d. 68.4 in3 to ft3
e. 964 slug to lbm
f. 569 pdl to lbf
g. 56.8 glug to g
h. 78.5 mug to kg
i. 358 atm L to Btu
j. 1.2 steradians to square degrees

3. Convert the following temperatures to the Kelvin temperature scale:
a. 259.6 R
b. 145 C
c. 98.6 F

4. Convert the following temperature intervals to Kelvin.
a. 58.3 C;
b. 89.7 F;
c. 4.5 R;

5. A weir is a slot in an open channel with water flowing over it (Figure 14.12). For a weir with a rectangular shape, the following formula can be derived:
Q = 5.35 Lh^(3/2)
Where
Q = water flow rate. ft3/s
L = length of weir, ft
h = height of liquid above weir gate, ft

Do the following:
a. Determine the units associated with the constant that are needed to make the equation dimensionally homogeneous.
b. Determine a new constant that allows the following units to be used:

Q = water flow rate, gal/min
L = length of weir, ft
h = height of liquid above weir gate, in

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The solution shows detailed conversions among different units of temperatures, etc.

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