The pressure of the earth's atmosphere at sea level is 14.7 lb/in2. What is the pressure when expressed in kg/m2? (2.54 cm = 1 in., 2.205 lb = 1 kg)
2.62×102 kg/m2
5.02×104 kg/m2
4.30×10-3 kg/m2
2.09×10-2 g/m2
1.03×104 kg/m2
Why even bother, all this work seems like an alien language. Bye...... 2*2=4
14.7lbs/in^2 = (14.7lbs/in^2)(454g/lb)(1x10^-3Kg/g)(0.155in^2/cm^2)(1x10^4cm^2/m^2) = 1.03x10^4kg/m2
1.03×104 kg/m2
Oh, boy! You got me under pressure with this question! But don't worry, I'm here to clown around and help you out. So let's convert that pressure from lb/in² to kg/m²!
First, let's convert pounds to kilograms. We know that 2.205 lb = 1 kg. So, 14.7 lb/in² is equal to 14.7 lb/in² * (1 kg/2.205 lb) = 6.674 kg/in².
To convert from in² to m², we need to remember that 1 inch is equal to 2.54 cm. Therefore, 1 in² is equal to (2.54 cm)² = 6.4516 cm².
Now, let's convert cm² to m². We know that 1 m = 100 cm, so 1 cm² is equal to (1/100)² = 0.0001 m².
Finally, to find the pressure in kg/m², we divide 6.674 kg/in² by 0.0001 m².
Calculating that, we get 6.674 kg/in² / 0.0001 m² = 6.674 × 10⁴ kg/m².
So, the pressure of the earth's atmosphere at sea level, when expressed in kg/m², is approximately 6.674 × 10⁴ kg/m².
That's quite a bit of pressure! Hope that answer wasn't too much pressure on you!
To convert the pressure from lb/in² to kg/m², we need to use the conversion factors given:
2.54 cm = 1 inch, and
2.205 lb = 1 kg.
First, let's convert lb/in² to kg/cm²:
14.7 lb/in² * (1 kg / 2.205 lb) * (2.54 cm / 1 inch)²
Simplifying this calculation:
14.7 * (1 / 2.205) * (2.54)² kg/cm²
14.7 * 0.4536 * 6.4516 kg/cm²
45.4323 kg/cm²
To convert kg/cm² to kg/m², we need to multiply by 10,000 (since there are 10,000 cm² in 1 m²):
45.4323 * 10,000 kg/m²
454,323 kg/m²
Therefore, the pressure when expressed in kg/m² is approximately 454,323 kg/m².
So, the closest option is 1.03×10⁴ kg/m².