learning with purpose\nconvert the following provided dimensions as directed. you must show all your work in…

learning with purpose\nconvert the following provided dimensions as directed. you must show all your work in accordance with the assignment guidelines for the course.\ntype convert convert to\nangle 30° radians\nlength 140 ft meters\narea 23.8 acres ft²\nvolume 54 yd³ ft³\nforce 2,600,000 lbs tons\nforce 2,600 kips kn\nstress 130 psi kpa\nstress 5240 mpa ksf\nunit weight 150 lb/ft³ g/cm³\ntemperature 35°f °c\ntemperature 35°f °k\ntemperature 35°c °k\nvelocity 35 mph ft/sec\nvelocity 35 mph km per hr\nacceleration 32.2 ft/sec/sec m/s²

learning with purpose\nconvert the following provided dimensions as directed. you must show all your work in accordance with the assignment guidelines for the course.\ntype convert convert to\nangle 30° radians\nlength 140 ft meters\narea 23.8 acres ft²\nvolume 54 yd³ ft³\nforce 2,600,000 lbs tons\nforce 2,600 kips kn\nstress 130 psi kpa\nstress 5240 mpa ksf\nunit weight 150 lb/ft³ g/cm³\ntemperature 35°f °c\ntemperature 35°f °k\ntemperature 35°c °k\nvelocity 35 mph ft/sec\nvelocity 35 mph km per hr\nacceleration 32.2 ft/sec/sec m/s²

Answer

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