Question
An elephant has feet with circular bases Each foot has a radius of 0.2 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.
Answer
4.4
(192 Votes)
Norman
Veteran · Tutor for 10 years
Answer
First, we calculate the area of one foot:\( A = \pi r^2 = \pi (0.2)^2 = 0.1256 \, m^2 \)Then, we multiply this by four to get the total area:
Finally, we calculate the pressure:
Rounding to three significant figures gives a final pressure of
.
Explanation
## Step 1: First, we need to calculate the total area of the elephant's feet. Since each foot is a circle, we use the formula for the area of a circle, which is
, where
is the radius. The total area is then four times this value, since the elephant has four feet.## Step 2: Next, we calculate the pressure exerted by the elephant. Pressure is defined as the force divided by the area over which the force is distributed. In this case, the force is 30,000 N and the area is the total area we calculated in the previous step.### The formula for pressure is: **
**