Hi need help with my physics homework.
12. A diagram shows kids that use a big plank as a float in the swimming pool of a big sports center. A wave machine in the swimming pool causes 24 waves per minute to be created on the surface of the water.
12.1 show that the frequency of the wave machine is 0,4Hz
12.2 the wavelength of the waves in the pool is 4 m. Calculate the speed of the waves in the swimming pool.
12.3 the board moves up and down on the waves so do that it reaches the a vertical height of 0,5 m. What is the amplitude of the waves?
12.1 To find the frequency of the wave machine, we need to know the number of waves created per unit of time. In this case, the number given is 24 waves per minute.
To convert minutes to seconds, we multiply by 60:
24 waves/minute * 1 minute/60 seconds = 0.4 waves/second
Therefore, the frequency of the wave machine is 0.4 Hz.
12.2 The speed of a wave can be calculated using the formula:
Speed = Frequency * Wavelength
From the given information, we know the frequency is 0.4 Hz and the wavelength is 4 m. Plugging these values into the formula, we get:
Speed = 0.4 Hz * 4 m = 1.6 m/s
Therefore, the speed of the waves in the swimming pool is 1.6 m/s.
12.3 The amplitude of a wave is the maximum displacement of a point from its equilibrium position. In this case, the board moves up and down on the waves so that it reaches a vertical height of 0.5 m.
Therefore, the amplitude of the waves is 0.5 m.
thanks for the answers and explaining them i just have one more question.
1.3 A transverse pulse moves at a constant speed with an amplitude of 10 cm and a frequency of 30Hz.The horizontal distance of a crest to the nearest trough is measured as 5 cm.
Determine the:
13.1 period of the wave
13.2 speed of the wave
13.1 To find the period of the wave, we use the formula:
Period (T) = 1 / Frequency (f)
Given that the frequency is 30 Hz, we can calculate the period as:
T = 1 / 30 Hz = 0.0333 seconds
Therefore, the period of the wave is approximately 0.0333 seconds.
13.2 The speed of a wave can be calculated using the formula:
Speed = Frequency (f) * Wavelength (λ)
From the given information, we know the frequency is 30 Hz. To find the wavelength, we can use the distance between a crest and the nearest trough, which is measured as 5 cm. Since a complete wave consists of one crest and one trough, the wavelength is twice this distance:
Wavelength = 2 * 5 cm = 10 cm
To convert the wavelength to meters, we divide by 100:
Wavelength = 10 cm / 100 = 0.1 m
Now we can calculate the speed:
Speed = 30 Hz * 0.1 m = 3 m/s
Therefore, the speed of the wave is 3 m/s.