Answer:
The magnitude of the resultant vector is 22.66 cm and it has a direction of 29.33°
Explanation:
To find the resultant vector, you first calculate x and y components of the two vectors M and N. The components of the vectors are calculated by using cos and sin function.
For M vector you obtain:

For N vector:

The resultant vector is the sum of the components of M and N:

The magnitude of the resultant vector is:

And the direction of the vector is:

hence, the magnitude of the resultant vector is 22.66 cm and it has a direction of 29.33°
Answer:
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The angular frequency of the wave is determined as 75.4 rad/s.
<h3>
What is wave function?</h3>
A wave function is a mathematical equation for the motion of the wave.
y(x, t) = A sin(kx + ωt + Φ)
where;
- ω is angular speed
- k is angular wavenumber
- Φ is phase angle
<h3>What is angular frequency?</h3>
The angular frequency is the angular displacement of any wave element per unit of time or the rate of change of the waveform phase.
<h3>Angular frequency</h3>
ω = 2πf
ω = 2π(12)
ω = 75.4 rad/s
Thus, the angular frequency of the wave is determined as 75.4 rad/s.
Learn more about angular frequency here: brainly.com/question/3654452
#SPJ4
Answer:
10.19 m
Explanation:
Water will rise to equalize the pressure inside and outside the tube.
The equation of pressure is given by

Where,
p = Pressure of air = 10⁵ N/m²
ρ = Density of water = 10³ kg/m³
g = Acceleration due to gravity = 9.81 m/s²
h = Height the water will rise

∴ The water will rise by 10.19 m.