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pressure=(force)/(area) An elephant has feet with circular bases. Each foot has a radius of 02 m, and the total force that the elephant exerts on the ground is 30,000 N. Work out the pressure the elephant exerts when all 4 of its feet are on the ground. Give your answer to 3 s.f.

Question

pressure=(force)/(area)
An elephant has feet with circular bases.
Each foot has a radius of 02 m, and the
total force that the elephant exerts on
the ground is 30,000 N.
Work out the pressure the elephant
exerts when all 4 of its feet are on the
ground.
Give your answer to 3 s.f.

pressure=(force)/(area) An elephant has feet with circular bases. Each foot has a radius of 02 m, and the total force that the elephant exerts on the ground is 30,000 N. Work out the pressure the elephant exerts when all 4 of its feet are on the ground. Give your answer to 3 s.f.

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ZelieElite · Tutor for 8 years

Answer

<p> 5965N/m²</p>

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<p> Pressure is calculated by dividing the force applied over the area of application. In this case, the force applied is the weight of the elephant standing on all four feet. The area on which this force is applied is the sum of the areas of the four feet, populated as circles. <br />To determine this, firstly, calculating the area of the one foot, which is a circle (using the formula $\pi r^2$ where r = 0.2), then the area of four feet is derived by multiplying this by $4$. Afterwards, use the formula pressure = $\frac {force} {area}$ with force being $30,000N$ and the area being our previous calculation.<br />All these calculations are made to 3 significant figures as requested.</p>
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