Question

learning with purpose
convert the following provided dimensions as directed. you must show all your work in accordance with the assignment guidelines for the course.
type convert convert to
angle 30° radians
length 140 ft meters
area 23.8 acres ft²
volume 54 yd³ ft³
force 2,600,000 lbs tons
force 2,600 kips kn
stress 130 psi kpa
stress 5240 mpa ksf
unit weight 150 lb/ft³ g/cm³
temperature 35°f °c
temperature 35°f °k
temperature 35°c °k
velocity 35 mph ft/sec
velocity 35 mph km per hr
acceleration 32.2 ft/sec/sec m/s²

Explanation:

Step1: Convert 30° to radians

Use the conversion factor $\frac{\pi}{180}$. So, $30\times\frac{\pi}{180}=\frac{\pi}{6}$ radians.

Step2: Convert 140 ft to meters

Since 1 ft = 0.3048 m, then $140\times0.3048 = 42.672$ m.

Step3: Convert 23.8 acres to square - feet

Since 1 acre = 43560 ft², then $23.8\times43560=1036728$ ft².

Step4: Convert 54 yd³ to ft³

Since 1 yd³ = 27 ft³, then $54\times27 = 1458$ ft³.

Step5: Convert 2600000 lbs to tons

Since 1 ton = 2000 lbs, then $\frac{2600000}{2000}=1300$ tons.

Step6: Convert 2600 kips to kN

Since 1 kip = 4.44822 kN, then $2600\times4.44822 = 11565.372$ kN.

Step7: Convert 130 psi to kPa

Since 1 psi = 6.89476 kPa, then $130\times6.89476 = 896.3188$ kPa.

Step8: Convert 5240 MPa to ksf

Since 1 MPa = 20.8854 ksf, then $5240\times20.8854=109439.496$ ksf.

Step9: Convert 150 lb/ft³ to g/cm³

Since 1 lb/ft³ = 0.0160185 g/cm³, then $150\times0.0160185 = 2.402775$ g/cm³.

Step10: Convert 35°F to °C

Use the formula $C=\frac{5}{9}(F - 32)$. So, $C=\frac{5}{9}(35 - 32)=\frac{5}{9}\times3=\frac{5}{3}\approx1.67$ °C.

Step11: Convert 35°F to K

First convert to °C as above ($C=\frac{5}{3}$ °C), then use $K = C+273.15$. So, $K=\frac{5}{3}+273.15\approx274.82$ K.

Step12: Convert 35°C to K

Use $K = C + 273.15$. So, $K=35 + 273.15=308.15$ K.

Step13: Convert 35 mph to ft/sec

Since 1 mile = 5280 ft and 1 hour = 3600 sec, then $35\times\frac{5280}{3600}\approx51.33$ ft/sec.

Step14: Convert 35 mph to km/hr

Since 1 mile = 1.60934 km, then $35\times1.60934 = 56.3269$ km/hr.

Step15: Convert 32.2 ft/sec² to m/s²

Since 1 ft = 0.3048 m, then $32.2\times0.3048 = 9.81456$ m/s².

Answer:

• 30° is $\frac{\pi}{6}$ radians
• 140 ft is 42.672 m
• 23.8 acres is 1036728 ft²
• 54 yd³ is 1458 ft³
• 2600000 lbs is 1300 tons
• 2600 kips is 11565.372 kN
• 130 psi is 896.3188 kPa
• 5240 MPa is 109439.496 ksf
• 150 lb/ft³ is 2.402775 g/cm³
• 35°F is approximately 1.67 °C
• 35°F is approximately 274.82 K
• 35°C is 308.15 K
• 35 mph is approximately 51.33 ft/sec
• 35 mph is 56.3269 km/hr
• 32.2 ft/sec² is 9.81456 m/s²