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The hydraulic system of a backhoe is used to lift a load
Chapter 11, Problem 83(choose chapter or problem)
The hydraulic system of a backhoe is used to lift a load as shown in Figure \(11.45\).
(a) Calculate the force \(F\) the slave cylinder must exert to support the \(400-kg\) load and the \(150-kg\) brace and shovel.
(b) What is the pressure in the hydraulic fluid if the slave cylinder is \(2.50 cm\) in diameter?
(c) What force would you have to exert on a lever with a mechanical advantage of \(5.00\) acting on a master cylinder \(0.800 cm\) in diameter to create this pressure?
Figure \(11.45\) Hydraulic and mechanical lever systems are used in heavy machinery such as this back hoe.
Equation Transcription:
Text Transcription:
11.45
F
400-kg
150-kg
2.50 cm
5.00
0.800 cm
Questions & Answers
QUESTION:
The hydraulic system of a backhoe is used to lift a load as shown in Figure \(11.45\).
(a) Calculate the force \(F\) the slave cylinder must exert to support the \(400-kg\) load and the \(150-kg\) brace and shovel.
(b) What is the pressure in the hydraulic fluid if the slave cylinder is \(2.50 cm\) in diameter?
(c) What force would you have to exert on a lever with a mechanical advantage of \(5.00\) acting on a master cylinder \(0.800 cm\) in diameter to create this pressure?
Figure \(11.45\) Hydraulic and mechanical lever systems are used in heavy machinery such as this back hoe.
Equation Transcription:
Text Transcription:
11.45
F
400-kg
150-kg
2.50 cm
5.00
0.800 cm
ANSWER:
a.)
Step 1 of 6
The Force the slave cylinder must exert to support the load and the brace and shovel can be calculated by equating the work done by the slave cylinder to the sum of work done by the load and the shovel.