Question

A rectangular floor tile is shown. Its dimensions are given to the nearest 0.1 metres. The tile is only able to sustain a maximum pressure of 200 Newtons per square metre (N/m), correct to the nearest 5 N/m'. Given that Pressure = Force þptional working 1.6m Area work out the maximum force, in Newtons, that can safely be applied to the tile. 2.3m Force = ?​

Answer 1

To find the maximum force that can be safely applied to the tile, we'll first calculate the area of the tile, and then use the Pressure formula: Pressure = Force / Area. We'll rearrange the formula to solve for Force.

Tile dimensions are given as 1.6m and 2.3m.

Area of the rectangular tile = length × width = 1.6m × 2.3m = 3.68 m²

The maximum pressure the tile can sustain is given as 200 N/m².

Now, we'll use the Pressure formula and rearrange it to solve for Force:

Pressure = Force / Area

Force = Pressure × Area

Force = 200 N/m² × 3.68 m²

Force = 736 N

So, the maximum force that can safely be applied to the tile is approximately 736 Newtons.