Answer:
(a) α = -0.16 rad/s²
(b) t = 33.2 s
Explanation:
(a)
Applying 3rd equation of motion on the circular motion of the tire:
2αθ = ωf² - ωi²
where,
α = angular acceleration = ?
ωf = final angular velocity = 0 rad/s (tire finally stops)
ωi = initial angular velocity = 5.45 rad/s
θ = Angular Displacement = (14.4 rev)(2π rad/1 rev) = 28.8π rad
Therefore,
2(α)(28.8π rad) = (0 rad/s)² - (5.45 rad/s)²
α = -(29.7 rad²/s²)/(57.6π rad)
<u>α = -0.16 rad/s²</u>
<u>Negative sign shows deceleration</u>
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(b)
Now, we apply 1st equation of motion:
ωf = ωi + αt
0 rad/s = 5.45 rad/s + (-0.16 rad/s²)t
t = (5.45 rad/s)/(0.16 rad/s²)
<u>t = 33.2 s</u>
Usually the unit of measurement of velocity is meters per second or m/s
Answer:
The volume at the surface is 10.97 L.
Explanation:
Given that,
Volume = 5.5 L
Height = 10 m
Density of sea water= 1025 kg/m³
We need to calculate the pressure at that point
Using formula of pressure
Put the value into the formula
We need to calculate the volume at the surface
Using equation of ideal gas
So, for both condition
Put the value into the formula
Hence, The volume at the surface is 10.97 L.
