Homework to do

I want someone to do my Engineering  homework which is due tomorrow .However, When you solve the problems, make sure that you show your work bellow each problem.

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:

𝑉 = −𝑚 ∙ 𝑔 ∙ 𝐿 ∙ cos 𝜃

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

𝐴 = (𝐸 − 2 ∙ 𝐹) ∙ √
2 ∙ 𝐵 ∙ 𝐶

𝐷

has terms that have the following fundamental dimensions:

𝐵 =

M

L2t2
𝐷 =

M

L3
𝐶 = L 𝐸 = 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

𝐹 = 𝑛𝑁√𝑘𝑅𝑇

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?

𝑃 =
𝐹 ∙ 𝑦

𝐶 ∙ 𝑆4
∙

𝑟

ℎ
∙ (sin 2𝛼 + sin 𝛽)

ENGR 112 HW#2 NAME________________________

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5. 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 yd
3
to in

3

4) 56.2 cm to mm

5) 25,800 cm to km

6) 25.6 Liters to m
3

7) 3.58 ft
3
to Liters

8) 0.556 yd to cm

9) 30 gal to Liters

ENGR 112 HW#2 NAME________________________

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5. 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 cm
2
to ft

2

12) 5.21 km
2
to mi

2

13) 536 in
2
to m

2

14) 6.25 g/cm
2
to mg/mm

2

15) 7.36 ft/sec to mi/hr

16) 62.3 acre to km
2

17) 59.3 gal/min to L/sec

18) 95.6 kg/m
3
to mg/cm

3