Pressure of Chair Legs: Find F/A for 72 kg Person

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A 72 kg person sitting on a 4 kg chair exerts a total force of 745.56 N on the floor. The area of contact for each chair leg, with a diameter of 1.1 cm, is calculated to be approximately 9.5 x 10^-5 m². Since the chair has four legs, the total area for pressure calculations must be divided by four. The initial pressure calculation of 7845260 Pa is incorrect due to not accounting for the number of legs. Correct calculations should include the distribution of weight across all four legs.
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Homework Statement



A 72 kg person sits on a 4.0 kg chair. Each leg of the chair makes contact with the floor in a circle that is 1.1 cm in diameter. Find the pressure exerted on the floor by each leg of the chair, assuming the weight is equally distributed.

Homework Equations



P=F/A
A=∏r^2

The Attempt at a Solution



To find the force, I added the mass of the person and the mass of the chair and got m=76kg. Then i multiplied that by g=9.81 and got F=745.56.
To find the area, I converted 1.1 cm into meters, .011, and found the area A=9.5*10^-5
then i divided F/A and got P=7845260 but this is incorrect.
 
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eagles12 said:

Homework Statement



A 72 kg person sits on a 4.0 kg chair. Each leg of the chair makes contact with the floor in a circle that is 1.1 cm in diameter. Find the pressure exerted on the floor by each leg of the chair, assuming the weight is equally distributed.

Homework Equations



P=F/A
A=∏r^2

The Attempt at a Solution



To find the force, I added the mass of the person and the mass of the chair and got m=76kg. Then i multiplied that by g=9.81 and got F=745.56.
Okay, that's good.

To find the area, I converted 1.1 cm into meters, .011, and found the area A=9.5*10^-5
then i divided F/A and got P=7845260 but this is incorrect.
Did you recall that the chair has four legs? Oh, and be sure to include units of measurement.
 
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