Answer:
To=20.44 °C
Explanation:
Given that
Velocity , v= 30 m/s
Temperature , T= 20°C
We know that specific heat capacity for air ,Cp=1.005 kJ/kg.K
By using energy conservation ,the stagnation temperature is given as

Now by putting the values in the above equation we get

To= 293.44 K
To= 293.44 - 273 °C
To=20.44 °C
Therefore the stagnation temperature will be 20.44 °C.
Answer:
Amplitude
Explanation:
Amplitude is the vertical distance between the baseline to the crest or the horizontal diatance between crest and trough of a wave. Trough is the lowest point of the wave hence called the baseline while crest is the highest point of a wave. The horizontal distance between two successive waves is however called the wavelength and the product of wavelength and frequency gives the velocity of the waves. Note that amplitude has no effect on the velocity of the waves.
Answer:
E. two times the original diameter
Explanation:
Resistance of a wire is:
R = ρ L/A
where ρ is the resistivity of the material, L is the length, and A is the cross-sectional area.
For a round wire with diameter d:
R = ρ L / (¼ π d²)
The two wires must have the same resistance, so:
ρ₁ L₁ / (¼ π d₁²) = ρ₂ L₂ / (¼ π d₂²)
The wires are made of the same material, so ρ₁ = ρ₂:
L₁ / (¼ π d₁²) = L₂ / (¼ π d₂²)
The new length is four times the old, so 4 L₁ = L₂:
L₁ / (¼ π d₁²) = 4 L₁ / (¼ π d₂²)
1 / (¼ π d₁²) = 4 / (¼ π d₂²)
Solving:
1 / (d₁²) = 4 / (d₂²)
(d₂²) / (d₁²) = 4
(d₂ / d₁)² = 4
d₂ / d₁ = 2
So the new wire must have a diameter twice as large as the old wire.
Answer:
0.0768 revolutions per day
Explanation:
R = Radius
= Angular velocity
As the mass is conserved the angular momentum is conserved

Moment of intertia for solid sphere

Moment of intertia for hollow sphere

Dividing the moment of inertia

From the first equation

The angular velocity, in revolutions per day, of the expanding supernova shell is 0.0768 revolutions per day
2 seconds longer because 3m/s is squared and 12m/s isn’t squared I’m pretty sure at least