(a)
The area of input and load piston.
(a)
Answer to Problem 1SP
The area of input piston is
Explanation of Solution
Given info: The input piston has diameter of
The radius of the input piston is
Write the equation to find the area of input piston.
Here,
Substitute
Write the equation to find the area of load piston.
Here,
Substitute
Conclusion:
Therefore, the area of input piston is
(b)
The ratio of area of load piston to area of input piston.
(b)
Answer to Problem 1SP
The ratio of area of load piston to area of input piston is
Explanation of Solution
Write the equation to find the ratio of area of load piston and input piston.
Substitute
Conclusion:
Therefore, the ratio of area of load piston to area of input piston is
(c)
The weight of car in newtons.
(c)
Answer to Problem 1SP
The weight of car in newtons is
Explanation of Solution
Write the equation to find the weight.
Here,
Substitute
Conclusion:
Therefore, the weight of car in newtons is
(d)
The force applied to piston to support the car.
(d)
Answer to Problem 1SP
The force applied to piston to support the car is
Explanation of Solution
Write the expression to find the pressure needed on the input piston to support the car of weight
Here,
Substitute
Write the equation to find the force applied to piston to support the car.
Here,
Substitute
Conclusion:
Therefore, the force applied to piston to support the car is
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