SOLUTION: In a hydraulic car brake the master piston has an area of 5cm^2 while the area of the slave piston is 50cm^2 when the driver presses on the brake pedal a force of 500n is exerted o

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Question 1013301: In a hydraulic car brake the master piston has an area of 5cm^2 while the area of the slave piston is 50cm^2 when the driver presses on the brake pedal a force of 500n is exerted on the master piston calculate the pressure transmitted through the brake fluid and the force exerted by the slave piston on the brake pad
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52782) About Me  (Show Source):
You can put this solution on YOUR website!
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In a hydraulic car brake the master piston has an area of 5 cm^2 while the area of the slave piston is 50 cm^2 when the driver presses on the brake pedal a force of 500 n is exerted on the master piston calculate the pressure transmitted through the brake fluid and the force exerted by the slave piston on the brake pad
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The pressure transmitted through the brake fluid is 

P = F%5B1%5D%2FS%5B1%5D,

where F%5B1%5D is the force the driver applies to the brake pedal (in newtons), and  S%5B1%5D is  the area of the master piston in m%5E2.

So, the pressure is 500%2F0.0005 = 1000000 Pa (Pascals).

The force exerted by the slave piston on the brake pad is 

F%5B2%5D = P%2AS%5B2%5D,

where P is the pressure transmitted through the brake fluid, and  S%5B2%5D is the area of the slave piston in m%5E2.

So, the force exerted by the slave piston on the brake pad is 1000000*0.005 = 5000 newtons.


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
In a hydraulic car brake the master piston has an area of 5cm^2 while the area of the slave piston is 50cm^2
when the driver presses on the brake pedal a force of 500n is exerted on the master piston calculate the pressure
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P = 500n/5cm^2 = 100 n/cm^2