Answer:

Explanation:
given,
moles of air compressed, n = 1.70 mol
initial temperature, T₁ = 390 K
Power supply by the compressor, P = 7.5 kW
Heat removed = 1.3 kW
Angular frequency of the compressor, f = 110 rpm = 110/60 = 1.833 rps.
Time of compression = time of the hay revolution
=
=
=
=0.273 s
Using first law of thermodynamics
U = Q - W
now,

Power supplied
= 7.5 kW
heat removed
= 1.3 kW
now,


we know,

C_v for air = 5 cal/° mol
= 5 x 4.186 J/mol°C = 20.93 J/mol°C
now,



the temperature change per compression stroke is equal to 47.57°C.
Average velocity is given by the ratio of total displacement /total time taken in order to do that
thus it will be
30.5-50.0/3 = 6.5 m/s
The speed is
v = 5t² + 4t
where
v is in m/s, and t in s.
The acceleration is the derivative of the velocity. It is
a = 10t + 4
When t = 2 s, the acceleration is
a(2) = 10*2 +4 = 24 m/s²
Answer: 24 m/s²
To solve this problem it is necessary to apply the concepts related to the Rotational Force described from the equilibrium and Newton's second law.
When there is equilibrium, the Force generated by the tension is equivalent to the Force of the Weight. However in rotation, the Weight must be equivalent to the Centrifugal Force and the tension, in other words:

Where
Angular velocity is equal to the Period, at this case Earth's period
Radius of the Earth
m = mass
= Force of Tension
Newton's second law
Replacing and re-arrange to find the Tension we have,






Therefore when Sneezy is on the equator he is in a circular orbit with a Force of tension of 503.26N