Concept explainers
(a)
To calculate: the force exerted on the piston.
(a)
Answer to Problem 105A
The force is
Explanation of Solution
Given:
Diameter of piston is
Force of
Formula used:
Pressure on the piston is equal to the force applied on the piston divided by its area. That is,
Here,
Surface area of the piston is given by
Here,
Calculation:
Substitute the value of
Radius of the piston is equal to haft of its diameter, so it can be written as,
Substitute the value of
This equation can be used to get the pressure on the small piston as,
Here,
Pressure on the larger piston can be written as,
Here,
From Pascal law, it can be written that,
Substitute the values of
Substitute
Conclusion:
Hence, the force that has to be applied on the small piston is
(b)
To calculate: length of the effort arm.
(b)
Answer to Problem 105A
The length of the effort arm should be
Explanation of Solution
Given:
Diameter of piston is
Force of
Formula used:
Force multiplied by the perpendicular distance is equal to the torque applied on the lever. That is,
Here,
Calculation:
Principle involved in using the lever is the torque applied on effort arm is equal to the torque applied on the resistance arm.
Substitute
Here,
Rearrange the equation (3),
Substitute
Conclusion:
Hence, the length of the effort arm should be
Chapter 13 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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