Question

United States currency is printed using intaglio presses that generate a printing pressure of 8.60 104 lb/in2. A $20 bill is 6.1 in. by 2.6 in. Calculate the magnitude of the force that the printing press applies to one side of the bill.

Answer 1

Answer:

The force exerted on the bill is $\bf{1.3 \times 10^{6}~lb-wt}$.

Explanation:

Given:

The pressure generated by the press, $P = 8.60 \times 10^{4}~lb/in^{2}$

A $20 bill has the length, $l = 6.1~in$ and breadth, $b = 2.6~in$.

The force on any object is given by

$F = PA$

where $P$ is the pressure and $A$ is the area of the object.

The area of the bill is

$A &=& l \times b\\~~~&=& (6.1~in)(2.6~in)\\~~~&=& 15.86~in^{2}$

The force exerted on the bill is

$F &=& (8.60 \times 10^{4}~lb/in^{2})(15.86~in^{2})\\~~~&=& 1.3 \times 10^{6}~lb-wt$