Determine the fundamental dimensions of V (this symbol does not represent velocity or volume) in the following equation for a pendulum: ? = −? ∙ ? ∙ ? ∙ cos ? where m is the pendulum mass, g is the acceleration of gravity, L is the pendulum length and θ is the angular position of the pendulum.

January 25, 2018
What is the optimal division of work between Pia and the accountant? Should Pia outsource all the accounting task, use selective outsourcing, or keep all tasks to herself? Evaluate each accounting task on their suitability to outsourcing in the cloud context. Use Table 3 provided in Appendix 1 and discuss the implications of your choice.
January 25, 2018

ENGR 112 HW#2 NAME________________________
1

1. Determine the fundamental dimensions of V (this symbol does not represent velocity or volume) in the following equation for a pendulum:

? = −? ∙ ? ∙ ? ∙ cos ? where m is the pendulum mass, g is the acceleration of gravity, L is the pendulum length and θ is the angular position of the pendulum. 2. The equation
? = (? − 2 ∙ ?) ∙ √ 2 ∙ ? ∙ ?
?
has terms that have the following fundamental dimensions:
? = M
L2t2 ? =
M
L3 ? = L ? = L
If the equation is dimensionally homogeneous, what are the fundamental dimensions of A and F? 3. The thrust propelling a rocket is given by the equation
? = ??√???
where R is a gas constant which for air is 53.35 ft  lbf / (lbm °R); k is a dimensionless ratio; T is the air temperature (°R); and N is a dimensionless mach number. What are the fundamental dimensions of n and what does n physically represent? 4. In the following dimensionally homogeneous equation P is a pressure; F is a force; y, r, and h are lengths; C is a reciprocal length and α and β are angles. What are the fundamental dimensions of S?
? = ? ∙ ?
? ∙ ?4 ∙
?
ℎ ∙ (sin 2? + sin ?)
ENGR 112 HW#2 NAME________________________
2

1. Perform the following conversions, using the cancellation of units method. (Show your work for credit) ). Use additional paper as needed.

1) 853 in to yd.
2) 25.6 sec to hr
3) 0.256 yd3 to in3
4) 56.2 cm to mm
5) 25,800 cm to km
6) 25.6 Liters to m3
7) 3.58 ft3 to Liters
8) 0.556 yd to cm
9) 30 gal to Liters
ENGR 112 HW#2 NAME________________________
3

1. Continued. Perform the following conversions, using the cancellation of units method. (Show your work for credit) ). Use additional paper as needed.

10) 25.2 mi to km
11) 526 cm2 to ft2
12) 5.21 km2 to mi2
13) 536 in2 to m2
14) 6.25 g/cm2 to mg/mm2
15) 7.36 ft/sec to mi/hr
16) 62.3 acre to km2
17) 59.3 gal/min to L/sec
18) 95.6 kg/m3 to mg/cm3