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True
1 month ago
13

A rectangular floor tile is shown it dimensions are given to the nearest 0.1 metres the tile is only able to sustain maximum pre

ssure of 200 newtons per square metre correct to the nearest 5N/m² given that pressure=Force
area
Work out the maximum force in newtons that can safely be applied to the tile
Mathematics
1 answer:
babunello [11.8K]1 month ago
4 0

Answer:

736 N

Step-by-step explanation:

The rectangular tile has the following dimensions:

Length = 2.3m

Width = 1.6m

The pressure on a surface is calculated using the formula

p=\frac{F}{A}

where

p represents pressure

F denotes the force applied

A signifies the area subjected to the force

<pFor this case, we know:

p=200 N/m^2 is the highest pressure that the tile can endure

A is determined by multiplying the length and width of the tile, therefore:

A=L\cdot w =(2.3)(1.6)=3.68 m^2

<pRearranging the equation for F allows us to calculate the maximum force that the tile can withstand:

F=pA=(200)(3.68)=736 N

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