Can Anyone help me with this physics problem?
The piston of a bicycle pump is circular in shape and has a diameter of 3.18 cm. When you exert a pushing force on the pump handle, it exerts a pressure of 225 kpa on the air inside the pump cylinder.
1) What is the force exerted on the pump handle?
2) What is the pressure of units of psi?
Note: the 225 kpa is gauge pressure. If the force on the handle had been zero, the gauge pressure would be zero because the pressure inside and outside the pump cylinder would be the same.
At a playground, a 19.7-kg child plays on a slide that drops through a height of 2.29 m. The child starts at rest at the top of the slide. On the way down, the slide does a nonconservative work of -368 J on the child. What is the child's speed at the bottom of the slide?
radius = .0318/2 = .0159 meters
area = pi r^2 = 7.94*10-4 meters^2
force = 225,000 Newtons/m^2 * 7.94*10^-4m^2
= 22.5 *7.94 N
= 179 Newtons
32.6 pounds/square inch
225,000 Pa =
Sure, I can help you with that physics problem!
To find the force exerted on the pump handle, we can use the formula for pressure:
Pressure = Force / Area
In this case, we have the pressure (225 kPa) and we need to find the force. The area can be calculated using the diameter of the circular piston.
1) To find the force exerted on the pump handle:
Step 1: Calculate the radius of the piston.
To find the radius, divide the diameter by 2.
Radius = Diameter / 2 = 3.18 cm / 2 = 1.59 cm
Step 2: Convert the radius to meters.
Since the SI unit for pressure is Pascal (Pa), we need to use meters as the unit for length. 1 cm = 0.01 m.
Radius = 1.59 cm * 0.01 m/cm = 0.0159 m
Step 3: Calculate the area of the circular piston.
The area of a circle can be calculated using the formula A = π * r^2, where A is the area and r is the radius.
Area = π * (0.0159 m)^2
Step 4: Substitute the values into the pressure formula.
225 kPa = Force / Area
Solving for Force:
Force = Pressure * Area
Substitute the values:
Force = 225 kPa * π * (0.0159 m)^2
Now, you can calculate the force exerted on the pump handle using a calculator.
2) To find the pressure in psi:
Step 1: Convert the pressure from kPa to psi.
1 pa = 0.000145 psi
1 kPa = 0.145 psi
So, to convert 225 kPa to psi:
Pressure (psi) = 225 kPa * 0.145 psi/kPa
Now, you can calculate the pressure in psi using a calculator.
Make sure to double-check your calculations and units to obtain accurate answers. Let me know if you need any further assistance!