The dimensions of a metallic cuboid are 30 cm x 20 cm x 15 cm and its mass is 30 kg. If the acceleration due to gravity be 10 m/s 2 . Calculate the pressure exerted by he cuboid when it is resting on the face having sides 20 cm x 15 cm on a table.
Answers
The resting surface has an area = 0.2 x 0.15 = 0.03m²
Weight of the cuboid = 30 x 10 = 300N
Pressure = Force(Weight) / Area
= 300/0.03 = 10000 N/m²
Given,
Dimensions : 30cm x 20cm x 15cm.
Mass of cuboid : 30kg.
Acceleration due to gravity { g } : 9.8m/s^2. HERE = 10m/s^2.
Dimension of the side on contact : 20cm x 15cm.
To calculate,
pressure exerted by the object on side of contact.
Calculation,
Pressure { P } = Force { F } / Area { A }
P = F / A
We know that FORCE [ F ] = WEIGHT [ W ]
P = W / A
W = mass x gravity
W = mg
W = 30 x 10
W = 300 N
P = W / A
P = 300 / 20 x 15
20cm x 15cm = 300cm^2
Thereforce, we need to convert it to m^2 by cross multiplication...
{1m}^2 = {100cm}^2
? = 300cm^2
300 / 10,000
= 3 / 100
now,
P = 300 / 3 / 100
P = 300 x 100 / 3
P = 100 x 100
P = 10,000 Pascals { Pa }