A piston having an area of .2 m² is subject to a pressure of 600 kPa. What is the total force exerted on the piston?

A piston having an area of .2 m² is subject to a pressure of 600 kPa. What is the total force exerted on the piston?

• A. 120 kN
• B. 1200 kN
• C. 120 kPa
• D. 1200 kPa

Answer: (A)

To find the total force exerted on a piston, you can use the formula: \[ \text{Force} = \text{Pressure} \times \text{Area} \] In this case, the pressure exerted on the piston is 600 kPa, and the area of the piston is 0.2 m². First, it's essential to convert the pressure into a consistent unit for force calculation. Since 1 kPa is equal to 1,000 Pascals (N/m²), the pressure in Newtons per square meter is: \[ 600 \text{ kPa} = 600,000 \text{ N/m}² \] Now, substitute the values into the formula: \[ \text{Force} = 600,000 \text{ N/m}² \times 0.2 \text{ m}² = 120,000 \text{ N} \] To express this force in kilonewtons (kN), divide by 1,000: \[ 120,000 \text{ N} = 120 \text{ kN} \] Thus, the total force exerted on the piston is 120 kN. This matches the provided answer

To find the total force exerted on a piston, you can use the formula:

[ \text{Force} = \text{Pressure} \times \text{Area} ]

In this case, the pressure exerted on the piston is 600 kPa, and the area of the piston is 0.2 m². First, it's essential to convert the pressure into a consistent unit for force calculation. Since 1 kPa is equal to 1,000 Pascals (N/m²), the pressure in Newtons per square meter is:

[ 600 \text{ kPa} = 600,000 \text{ N/m}² ]

Now, substitute the values into the formula:

[ \text{Force} = 600,000 \text{ N/m}² \times 0.2 \text{ m}² = 120,000 \text{ N} ]

To express this force in kilonewtons (kN), divide by 1,000:

[ 120,000 \text{ N} = 120 \text{ kN} ]

Thus, the total force exerted on the piston is 120 kN. This matches the provided answer