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The stylus of a phonograph record exerts a force of 7.7 x 10-2N on a groove of r...

Question

The stylus of a phonograph record exerts a force of 7.7 x 10-2N on a groove of radius 10-5m. Compute the pressure exerted by the stylus on the groove

Options

A) 2.45 x 108 Nm-2

B) 3.45 x 108 Nm-2

C) 4.90 x 108 Nm-2

D) 2.42 x 108 Nm-2

Related Lesson: Pressure | Fluid Statics

The correct answer is A.

Explanation:

Pressure, \(P = \cfrac{F}{A}\)
\(= \cfrac{F}{\pi r^2}\)
\(= 7.7 \times 10^{-2}\)
\(\pi \times (10^{-5})^2\)
\(= 7.7 \times 10^{-2}\)
\(\pi \times 10^{-10}\)
\(= 2.45 \times 10^8\) Nm\(^{-2}\)
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  • Nigerian Scholars Follow4 years ago

    Pressure, \(P = \cfrac{F}{A}\)
    \(= \cfrac{F}{\pi r^2}\)
    \(= 7.7 \times 10^{-2}\)
    \(\pi \times (10^{-5})^2\)
    \(= 7.7 \times 10^{-2}\)
    \(\pi \times 10^{-10}\)
    \(= 2.45 \times 10^8\) Nm\(^{-2}\)

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