Answer:

ω = 0.0347 rad/s²
a ≅ 1.07 m/s²
Explanation:
Given that:
mass of the model airplane = 0.741 kg
radius of the wire = 30.9 m
Force = 0.795 N
The torque produced by the net thrust about the center of the circle can be calculated as:

where;
F represent the magnitude of the thrust
r represent the radius of the wire
Since we have our parameters in set, the next thing to do is to replace it into the above formula;
So;


(b)
Find the angular acceleration of the airplane when it is in level flight rad/s²

where;
I = moment of inertia
ω = angular acceleration
The moment of inertia (I) can also be illustrated as:

I = ( 0.741) × (30.9)²
I = 0.741 × 954.81
I = 707.51 Kg.m²

Making angular acceleration the subject of the formula; we have;

ω = 
ω = 0.0347 rad/s²
(c)
Find the linear acceleration of the airplane tangent to its flight path.m/s²
the linear acceleration (a) can be given as:
a = ωr
a = 0.0347 × 30.9
a = 1.07223 m/s²
a ≅ 1.07 m/s²
Answer:
(a). The initial pressure is
(b). The final pressure is 
Explanation:
Given that,
Number of moles = 7
Temperature = 475 K
Initial volume = 0.50 m³
Expanded volume = 1.50 m³
We need to calculate the initial pressure
Using formula of pressure

Put the value into the formula


We need to calculate the final pressure
Using formula of pressure

After expansion,


Put the value into the formula
For thermal process,




Hence, (a). The initial pressure is
(b). The final pressure is 
Larger. How big depends on the size of the vector. But think about pythagoras theorem to solve for the vector.
Answer:
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