a) We use the formula:
T = [g sinθ – a] * m
where g is gravity, θ is the angle, a is acceleration, m is mass
T = [9.81 sin37 - 2.00] * 12 = 46.85 N <span>
b) We use the formula for moment of interia:</span>
I = T * r² / a
I = 46.85 * 0.10² / 2.00 = .2343 kg∙m² <span>
c) The formula we can use here is:</span>
w = α * t = (a/r) * t
w = (2/.10) * 2
<span>w = 40 rad/sec</span>
Answer:
Part a)

Part b)

Part c)

Part d)
Displacement for entire trip = 0
Part e)
Average velocity for entire trip will be zero
Explanation:
Part a)
Displacement after t = 2.4 hours is the straight line distance between initial and final positions
so we have

Part b)
Average velocity is defined as



Part c)
During his return journey the displacement will be same


so average velocity is defined as


Part d)
Displacement for entire trip = 0
as initial and final position will be same
Part e)
Average velocity for entire trip will be zero
Explanation:
Given that,
Initial volume = 60dm³
Initial pressure = 30 kPa
We need to find the new volume when pressure changes to 40 kPa (say).
We know that the mathematical relation between volume and pressure is given by :

Put all the values,

So, when pressure of the gas increases, its volume get decreased.
4). Frequency
I had a class on it.