4.6. Pressure and Force http://www.ck12.org
4.6 Pressure and Force
- Explain the difference between pressure and force.
- Calculate the pressure in a variety of problems.
Students will learn the difference between pressure and force and how to calculate the pressure in a variety of
problems
Key Equations
P=FA; Pressure is a force exerted over some area
Guidance
Pressureis often confused with force. Pressure is force spread out over an area; a small force exerted on a very
small area can create a very large pressure; i.e., poke a pin into your arm!
Example 1
How much pressure does a 340-g Coke can exert on a table if the diameter of the can is 8.0 cm?
Question: P=?[Pa]
Given: m= 340 grams= 0. 340 kg
diameter= 8. 0 cm= 0. 08 m
g= 10 m/s^2
Equations: P=FAArea of a circle:A=π·r^2
Plug n’ Chug: P=FA=πmg·r 2 =
( 0. 340 kg)
(
(^10) sm 2
)
π(^0.^082 m)^2
=
(
3. 4 kgs· 2 m
5. 0 × 10 −^3 m^2
)
= (^680) mN 2 = 680 Pa