Vibration and Wave Fundamentals
1. A machine gun fires 10 rounds per second. The speed of the bullets is 300 m/s.
(A.) What is the distance in the air between the flying bullets? ____
ANSWER=30
(B.)What happens to the distance between the bullets if the rate of fire is increased? ______
ANSWER=Decreases
2. Consider a wave generator that produces 10 pulses per second. The speed of the waves is 300 cm/s.
(A.) What is the wavelength of the waves? ______
ANSWER=30
(B.) What happens to the wavelength if the frequency of pulses is increased? ______
ANSWER=Increases
3. (A.) A bird is watching waves. If the portion of a wave between 2 crests passes the pole each second, what is the speed of the wave? (1 m between crests)____
ANSWER=1m/s
(B.) What is its period? ____
ANSWER=1
4. (A.) If the distance between crests in the above question were 1.5 meters apart, and 2 crests pass the pole each second, what would be the speed of the wave?_________
ANSWER=1.5m/s
(B.) What would be its period? ______
ANSWER=1
Thanks so much for the help!!
You're welcome! I'm glad I could help. If you have any more questions, feel free to ask!
To answer these questions, we need to understand the basic concepts of vibration and wave fundamentals. Let's break down each question and explain how to get the answers.
1. (A.) What is the distance in the air between the flying bullets?
To find the distance between the flying bullets, we need to determine the time interval between each bullet. Given that the machine gun fires 10 rounds per second, we divide the speed of the bullets (300 m/s) by the rate of fire (10 rounds per second) to find the distance between bullets.
Distance between bullets = Speed of bullets / Rate of fire
Distance between bullets = 300 m/s / 10 rounds/s = 30 meters
Therefore, the distance in the air between the flying bullets is 30 meters.
(B.) What happens to the distance between the bullets if the rate of fire is increased?
If the rate of fire is increased, the time interval between each bullet decreases. As a result, the distance between the bullets will also decrease.
2. (A.) What is the wavelength of the waves?
To calculate the wavelength of the waves, we divide the speed of the waves (300 cm/s) by the frequency of pulses (10 pulses per second).
Wavelength = Speed of waves / Frequency of pulses
Wavelength = 300 cm/s / 10 pulses/s = 30 cm
Therefore, the wavelength of the waves is 30 cm.
(B.) What happens to the wavelength if the frequency of pulses is increased?
If the frequency of pulses is increased, the wavelength of the waves will decrease. This is because wavelength and frequency are inversely proportional.
3. (A.) What is the speed of the wave if the portion of a wave between 2 crests passes the pole each second?
Given that the distance between the crests is 1 meter and the portion of the wave between 2 crests passes the pole each second, we can conclude that the speed of the wave is equal to the distance between the crests (1 meter) per second.
Therefore, the speed of the wave is 1 meter per second (1 m/s).
(B.) What is its period?
The period refers to the time it takes for a complete wave cycle to pass a certain point. If the portion of the wave between 2 crests passes the pole each second, it means that one complete wave cycle passes in one second. Therefore, the period is 1 second.
4. (A.) If the distance between crests is 1.5 meters and 2 crests pass the pole each second, what would be the speed of the wave?
Given that the distance between crests is 1.5 meters and 2 crests pass the pole each second, we can calculate the speed of the wave by multiplying the distance between crests (1.5 meters) by the number of crests passing per second (2 crests/s).
Speed of the wave = Distance between crests x Number of crests passing per second
Speed of the wave = 1.5 meters x 2 crests/s = 3 meters per second (3 m/s)
(B.) What would be its period?
Since 2 crests pass the pole each second, it means that one complete wave cycle passes in half a second. Therefore, the period of the wave would be 0.5 seconds.
I hope this explanation helps you understand how to find the answers to these questions. If you have any further queries, feel free to ask!