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katen-ka-za [31]
3 years ago
12

A 524-Hz longitudinal wave in air has a speed of 345 m/s. (a) What is the wavelength? (b) How much time is required for the phas

e to change by 90° at a given point in space? (c) At a particular instant, what is the phase difference (in degrees) between two points 4.4 cm apart?
Physics
1 answer:
zhuklara [117]3 years ago
5 0

Answer: a) 152 cm

b) 0.725 ms

c) 10°

Explanation:

Given

Frequency of the wave, f = 524 Hz

Speed of the wave, v = 345 m/s

Wavelength of the wave, λ = ?

The relation for wavelength is given by

λ = f/v, on substituting

λ = 524 / 345

λ = 1.52 m or 152 cm

T = 1/v

T = 0.0029 s

T = 2.9 ms.

Note that the phase change is 90°, thus the time required to change the phase by 90° is

t = 2.9 * (90 / 360)

t = 2.9 * 0.25

t = 0.725 ms

The phase difference at a particular instance 4.4 cm apart is

= (4.4 / 152) * 360

= 0.02895 * 360

= 10.422°

a) 152 cm

b) 0.725 ms

c) 10°

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Answer:

Angle: 48.19^o

Explanation:

<u>Two-Dimension Motion</u>

When the object is moving in one plane, the velocity, acceleration, and displacement are vectors. Apart from the magnitudes, we also need to find the direction, often expressed as an angle respect to some reference.

Our boy can swim at 3 m/s from west to east in still water and the river he's attempting to cross interacts with him at 2 m/s southwards. The boy will move east and south and will reach the other shore at a certain distance to the south from where he started. It happens because there is a vertical component of his velocity that is not compensated.

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s = 20 m

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Answer:

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