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3 years ago

Find the angle between a diagonal of a cube and one of its edges. (Round your answer to the nearest degree.

Physics

1 answer:

GenaCL600 [577]3 years ago

7 0

Answer:

The angle between the diagonal and edge = 55 degrees

Explanation:

We will find it by finding the angle between two vectors (a and b)

We will assume it to be a unit cube

Vector a = (1,1,1) (defines the diagonal vector)

Vector b = (1,0,0) (defines the edge vector)

cos (theta) = (a.b)/(|a|*|b|)

$cos (theta) = 1 / (\sqrt{3} * \sqrt{1} )$

theta = 54.74 degrees

theta = 55 degrees (Rounded to the nearest degree)

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Suppose a plot of inverse wavelength vs frequency has slope equal to 0.119, what is the speed of sound traveling in the tube to

strojnjashka [21]

Answer:

8.40 m/s

Explanation:

Slope of the plot is 0.119

Slope of a plot is given by the change in y direction divided by the change in x direction

Here, the y axis represents inverse wavelength and the x axis represents frequency.

f = Frequency (Hz, assumed)

v = Phase velocity (m/s, assumed)

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So, slope

$m=\frac{\frac{1}{\lambda}}{f}$

Now,

$\lambda=\frac{v}{f}\\\Rightarrow \lambda^{-1}=\frac{f}{v}$

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