the pressure exerted by a phonograph needle on a record is surprisingly large. if the equivalent of 1.1 g is supported by a needle, the tip of which is a circle 0.205 mm in radius, what pressure is exerted on the record?

Respuesta :

The pressure exerted on record is 83.96946 pascal.

Given- Mass equivalent =1.1 g

Radius = 0.205 mm

To find out the pressure exerted , we can employ following equations -

  1. Finding the force.
  2. Finding the Cross sectional area.
  3. Substitute the value in the equation of pressure.

Force means product of mass and acceleration.

Equations corresponding to the steps-

  1. Force= ma
  2. Area= πR²
  3. Pressure means force acting per unit area.

[tex]Pressure = \frac{Force}{area}[/tex]

Calculations-

Considering acceleration equivalent to gravity as 10m/s²

F=1.1 x 10=11 N

A=3.14 x 0.205 x 0.205= 0.131 units

Pressure = 11/0.131

=83.96946 pascal

To understand more about pressure -

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