Mechanical Properties of Fluids

Question : 5 of 31

Marks: +1, -0

A 50 kg girl wearing high heel shoes balances on a single heel. The heel is circular with a diameter 1.0 cm. What is the pressure exerted by the heel on the horizontal floor?

Solution:

Here,

m=50\ \mathrm{kg}\ ;

r = \frac{D}{2} = \frac{1}{2}\ \mathrm{cm} = \frac{1}{200}\ \mathrm{m}

Pressure

= \frac{\text{force}}{\text{area}} = \frac{m g}{\pi r^{2}}

= \frac{50 \times 9.8}{\left(\frac{22}{7}\right) \times \left(\frac{1}{200}\right)^2}

= 6.24 \times 10^{6}\ \mathrm{Nm}^{-2}

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