The air pressure in a tire is 150.000 kPa.
The internal surface area of the tire is 1150.000 cm^2. Determine the total force applied by the air to the tire.
(Round to 3 decimal places)
Answer = kN
150.000 kPa x 1000 = 150000 Nm
1150.000 cm / 100 cm = 11.5 m
Force = Pressure x Area
= 150000.000 Nm x 11.5 m
= 172500.000 N
= 172.500 kN
Please Check. Thank you.
cm^2 = m^2/100^2, not m/100
100 cm = 1 meter
Is 172.500 kN correct?
yes, but 10,000 cm^2 = 1 m^2
Pascals are in the MKS system. No cm allowed. Everything is in meters.
To determine the total force applied by the air to the tire, you can use the formula Force = Pressure x Area.
First, convert the given air pressure from kilopascals (kPa) to newtons per square meter (Nm). Multiply the given pressure (150.000 kPa) by 1000 to obtain the pressure in Nm: 150.000 kPa x 1000 = 150000 Nm.
Next, convert the given internal surface area of the tire from square centimeters (cm^2) to square meters (m^2). Divide the given area (1150.000 cm^2) by 100 to obtain the area in square meters: 1150.000 cm^2 / 100 cm = 11.5 m^2.
Now, plug the values into the formula: Force = 150000 Nm x 11.5 m = 1725000 N.
Finally, round the result to 3 decimal places: 1725000 N ≈ 172.500 kN.
Therefore, the total force applied by the air to the tire is approximately 172.500 kN.