United States currency is printed using intaglio presses that generate a printing pressure of 8.1 x 104 lb/in2. A $20 bill is 6.1 in. by 2.6 in. Calculate the magnitude of the force (in pounds) that the printing press applies to one side of the bill.
force=pressure*area.
curiously, if it applies the force to one side of the bill, the same force is applied to the other side, otherwise the bill has to accelerate. Newtons third law.
To calculate the magnitude of the force, we can use the formula:
Force = Pressure x Area
1. First, let's convert the given dimensions of the $20 bill to square inches. The length is 6.1 in, and the width is 2.6 in, so the area of one side of the bill is:
Area = Length x Width = 6.1 in x 2.6 in = 15.86 square inches.
2. Now, substitute the given pressure into the formula. The pressure is given as 8.1 x 10^4 lb/in^2. So, we have:
Force = (8.1 x 10^4 lb/in^2) x (15.86 square inches).
3. Multiply the pressure by the area:
Force = 1.28766 x 10^6 lb.
Therefore, the magnitude of the force that the printing press applies to one side of the $20 bill is approximately 1.29 x 10^6 pounds.