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.

Respuesta :

Answer:

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

Explanation:

Given:

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

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

The force on any object is given by

[tex]F = PA[/tex]

where [tex]P[/tex] is the pressure and [tex]A[/tex] is the area of the object.

The area of the bill is

[tex]A &=& l \times b\\~~~&=& (6.1~in)(2.6~in)\\~~~&=& 15.86~in^{2}[/tex]

The force exerted on the bill is

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