Measuring Simple Harmonic Motion 1. A spring-mass system vibrates exactly 10 times per second. Find its period and its frequency. T=tos T=0. O.IS f = n = 10 Hz f = 10 Hz 2. A pendulum swings with a period of 0.20 seconds. Period=0-15 a. What is its frequency? frequency = 10 Hz I = 0₂20 s f = + = 0·₂0 = [(5+₂) 0.20 b. How many times does it pass the lowest point on its path in 1.0 second? in 7.0 seconds? 10 times, 1 sec -> 5 cycles = 2x5 = 10 times. 3. A spring-mass system completes 20.0 vibrations in 5.0 seconds, with a 2.0 cm amplitude. a. Find its frequency and its period. f = 20 = 15HZT= $ = 0.2s period = 0.25 b. The same mass is pulled 5.0 cm away from the equilibrium position, then requency released. What will the period, the frequency, and the amplitude be? (5 Hz 4. A pendulum completes 30.0 oscillations per minute. Find its frequency, its period, and its length. frequency Period length 30 = 0.5Hz | T = 60 = 25 A = ² = 30 Properties of Waves 1. Radio waves travel at the speed of light (3.00 × 108 m/s). An amateur radio system can receive radio signals at frequencies between 8.00 MHz and 1.20 MHz. What is the range of the wavelengths this system can receive? 3 x 108 8 x 106 M< < 3 X 108 1.20 X 106 197 Range of the wavelengths this system can receive is 37.5m to z 2. Graph (a) below describes the density versus time of a pressure wave traveling through an elastic medium. Graph (b) describes the density versus distance for the same wave. mm 80.00 60,00 0.00 0.04 0.03 20,00 0.00 0.01 0,02 Time (s) 40,00 Distance (n) a. Use graph (a) to find the period of oscillation of this wave and its frequency. Period 0.2 s Fremienry 1-5 Hz b. Use graph (b) to find the wavelength and the speed.
Measuring Simple Harmonic Motion 1. A spring-mass system vibrates exactly 10 times per second. Find its period and its frequency. T=tos T=0. O.IS f = n = 10 Hz f = 10 Hz 2. A pendulum swings with a period of 0.20 seconds. Period=0-15 a. What is its frequency? frequency = 10 Hz I = 0₂20 s f = + = 0·₂0 = [(5+₂) 0.20 b. How many times does it pass the lowest point on its path in 1.0 second? in 7.0 seconds? 10 times, 1 sec -> 5 cycles = 2x5 = 10 times. 3. A spring-mass system completes 20.0 vibrations in 5.0 seconds, with a 2.0 cm amplitude. a. Find its frequency and its period. f = 20 = 15HZT= $ = 0.2s period = 0.25 b. The same mass is pulled 5.0 cm away from the equilibrium position, then requency released. What will the period, the frequency, and the amplitude be? (5 Hz 4. A pendulum completes 30.0 oscillations per minute. Find its frequency, its period, and its length. frequency Period length 30 = 0.5Hz | T = 60 = 25 A = ² = 30 Properties of Waves 1. Radio waves travel at the speed of light (3.00 × 108 m/s). An amateur radio system can receive radio signals at frequencies between 8.00 MHz and 1.20 MHz. What is the range of the wavelengths this system can receive? 3 x 108 8 x 106 M< < 3 X 108 1.20 X 106 197 Range of the wavelengths this system can receive is 37.5m to z 2. Graph (a) below describes the density versus time of a pressure wave traveling through an elastic medium. Graph (b) describes the density versus distance for the same wave. mm 80.00 60,00 0.00 0.04 0.03 20,00 0.00 0.01 0,02 Time (s) 40,00 Distance (n) a. Use graph (a) to find the period of oscillation of this wave and its frequency. Period 0.2 s Fremienry 1-5 Hz b. Use graph (b) to find the wavelength and the speed.
please help with the two questions i boxed thank you!!
Transcribed Image Text:# Measuring Simple Harmonic Motion
1. A spring-mass system vibrates exactly 10 times per second. Find its period and its frequency.
- \( n = 10 \)
- \( T = \frac{1}{10} = 0.1 \text{s} \)
- \( f = n = 10 \text{Hz} \)
- **Answer:** \( f = 10 \text{Hz} \)
2. A pendulum swings with a period of 0.20 seconds. Find its frequency.
- **Given:** Period (\( T \)) = 0.20 s
- **Frequency (\( f \)) = \(\frac{1}{T}\) = \(\frac{1}{0.2}\) = 5 Hz**
- **Answer:** Frequency = 5 Hz
3. How many times does it pass the lowest point on its path in 10.0 seconds?
- In 1.0 second: 5 cycles
- In 10.0 seconds: \( 2 \times 5 = 10 \text{ times} \)
- **Answer:** 10 times
4. A spring-mass system completes 20.0 vibrations in 5.0 seconds, with a 2.0 cm amplitude.
- **Find its frequency and its period.**
- \( f = \frac{20}{5} = 4 \text{Hz} \)
- \( T = \frac{1}{5} = 0.25 \text{s} \)
- Period = 0.25 s
- Frequency = 5 Hz
- **Answer:** Frequency = 4 Hz, Period = 0.25 s
5. The same mass is pulled 5.0 cm away from the equilibrium position, then released. What will the period, the frequency, and the amplitude be?
- **Given:** Amplitude = 5.0 cm (fixed, unless amplitude changes)
6. A pendulum completes 30.0 oscillations per minute. Find its frequency, its period, and its length.
- **Frequency (\( f \)): \(\frac{30}{60} = 0.5 \text{Hz}\)**
- **Period (\( T \)): 1/f = \(\frac{60}{30
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