Answer:2.55 rad/s
Explanation:
Given
Diameter of ride=5 m
radius(r)=2.5 m
Static friction coefficient range=0.60-1
Here Frictional force will balance weight
And limiting frictional force is provided by Centripetal force
weight of object=mg
Equating two
f=mg
Hi there!
Recall Newton's Second Law:
∑F = net force (N)
m = mass (kg)
a = acceleration (m/s²)
We must begin by solving for the acceleration using the following:
a = Δv/t
In this instance:
Δv = 3 m/s
t = 2.5 sec
a = 3/2.5 = 1.2 m/s²
Now, plug this value along with the mass into the equation for net force:
Answer:
The pressure at any point in a column of gas is an exponential function
Explanation:
In the case of water due to the hydrostatic paradox, a liquid of any quantity can support any weight it is subjected to, as such the pressure at a point in a liquid is directly proportional to the depth. Analogous to stack of bricks
P = ρ×g×h
For gases we have that gas density depends on the gas pressure and pressure depends on gas density
This is as a result of the comprehensibility of gases in the atmosphere which is analogous to compressible bricks. A gas quickly spreads out to occupy a containing volume as such when subject to a force they are compressed to occupy a lesser volume.
However as the elevation increases it results in a lesser column of fluid exerting a force at that point hence reducing the pressure at that point.
We have for gases
where
= Pressure at height h
P₀ = Pressure at reference point
m = unit mass of air molecule
g = Acceleration due to gravity
h = Height from the reference point
k = Boltzmann constant
T = Temperature in Kelvin
The pressure at any point in a column of gas is an exponential function