In the above figure, the master cylinder has a circular cross section and a radius of 1.000 m. The slave cylinder has a radius of 24.50 cm. 1) What force must be applied down on the piston of the master cylinder to attain a pressure of 1.600 × 10° Pa in the system?

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Chapter1: Units And Measurement
Section: Chapter Questions
Problem 88CP: The first atomic bomb was detonated on July 16, 1945, at the Trinity test site about 200 mi south of...
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Remember for these problems that in calculating the results, l'm using the value of nfound on the PRC.
If you round 7 to 3.14 in your calculations there is potential for your answer to be taken out of toler-
ance for a solution that uses the correct method. For numeric entry problems, report more digits in
your answer than are significant, convert to standard units if necessary, and do not include the unit in
the answer field. Bb understands 1.2345 E4 with no spaces and the E capitalized to be 1.2345 x 104 if
you choose to enter numbers in scientific notation.
Problems 1-3 refer to the following figure.
In the above figure, the master cylinder has a circular cross section and a radius of 1.000 m. The slave
cylinder has a radius of 24.50 cm.
1) What force must be applied down on the piston of the master cylinder to attain
a pressure of 1.600 × 10° Pa in the system?
A) 3.01 72x 105 N
B) 3.01 74x 105 N
C) 3.01 75 x 105 N
D) 3.01 76x 10° N
E) 5.02 40 × 106
F) 5.02 72 x 10° N
G) 5.02 65 × 10° N
H) 5.02 51 × 10° N
Transcribed Image Text:Remember for these problems that in calculating the results, l'm using the value of nfound on the PRC. If you round 7 to 3.14 in your calculations there is potential for your answer to be taken out of toler- ance for a solution that uses the correct method. For numeric entry problems, report more digits in your answer than are significant, convert to standard units if necessary, and do not include the unit in the answer field. Bb understands 1.2345 E4 with no spaces and the E capitalized to be 1.2345 x 104 if you choose to enter numbers in scientific notation. Problems 1-3 refer to the following figure. In the above figure, the master cylinder has a circular cross section and a radius of 1.000 m. The slave cylinder has a radius of 24.50 cm. 1) What force must be applied down on the piston of the master cylinder to attain a pressure of 1.600 × 10° Pa in the system? A) 3.01 72x 105 N B) 3.01 74x 105 N C) 3.01 75 x 105 N D) 3.01 76x 10° N E) 5.02 40 × 106 F) 5.02 72 x 10° N G) 5.02 65 × 10° N H) 5.02 51 × 10° N
2) What magnitude force pushes up on the slave cylinder if the pressure in the
system is 1.600 × 106 Pa?
A) 3.01 72 × 105 N
Printed by Wolfram Mathematica Student Edition
2 | P07.02.nb
B) 3.01 74× 105
C) 3.01 75x 105 N
D) 3.01 76× 105
E) 5.02 40 × 106 N
F) 5.02 72 x 106N
G) 5.02 65× 106 N
H) 5.02 51× 106 N
3) If the piston of the slave cylinder is extended through a distance 45.00 cm,
calculate the distance through which the piston of the master cylinder must be
pushed to achieve this movement if friction in the system is negligible. You can
assume the movement is done when the system is at a pressure of 1.600 x 10° Pa,
but this isn't strictly necessary to do the problem.
Problems 4-6 refer to the following figure
A force of magnitude 800. N is applied to the center cylinder in the figure, downward on its 7.50 cm-
radius piston. The master piston is pushed 1.000 cm into the cylinder and the radii of the two identical
slaves are 2.000 cm.
4) Calculate the pressure in the system as the force is applied.
5) Calculate the magnitude of the force exerted upward on the left slave piston.
6) Calculate the distance the right slave piston travels.
2 of 2
Transcribed Image Text:2) What magnitude force pushes up on the slave cylinder if the pressure in the system is 1.600 × 106 Pa? A) 3.01 72 × 105 N Printed by Wolfram Mathematica Student Edition 2 | P07.02.nb B) 3.01 74× 105 C) 3.01 75x 105 N D) 3.01 76× 105 E) 5.02 40 × 106 N F) 5.02 72 x 106N G) 5.02 65× 106 N H) 5.02 51× 106 N 3) If the piston of the slave cylinder is extended through a distance 45.00 cm, calculate the distance through which the piston of the master cylinder must be pushed to achieve this movement if friction in the system is negligible. You can assume the movement is done when the system is at a pressure of 1.600 x 10° Pa, but this isn't strictly necessary to do the problem. Problems 4-6 refer to the following figure A force of magnitude 800. N is applied to the center cylinder in the figure, downward on its 7.50 cm- radius piston. The master piston is pushed 1.000 cm into the cylinder and the radii of the two identical slaves are 2.000 cm. 4) Calculate the pressure in the system as the force is applied. 5) Calculate the magnitude of the force exerted upward on the left slave piston. 6) Calculate the distance the right slave piston travels. 2 of 2
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