An spring has a period of 4 seconds. What is its frequency? A pendulum has a frequency of 3 Hz . What is its period? A pendulum takes 10 seconds to complete 2 cycles. A) What is its period? B) What is its frequency?
Solución de inteligencia artificial de Upstudy
Responder
Solución

¡Inicia sesión para desbloquear respuestas gratis!
Una plataforma de aprendizaje en la que confían millones de estudiantes y profesores reales.

Respondido por UpStudy AI y revisado por un tutor profesional
Beyond the Answer
To find the frequency of a spring with a period of 4 seconds, you use the formula \( f = \frac{1}{T} \), where \( T \) is the period. So, \( f = \frac{1}{4} = 0.25 \) Hz. For the pendulum, the period can be calculated using the same formula. Since the frequency is 3 Hz, the period \( T = \frac{1}{3} \approx 0.33 \) seconds. For the pendulum that takes 10 seconds to complete 2 cycles, you can find the period by dividing the total time by the number of cycles. Thus, \( T = \frac{10}{2} = 5 \) seconds. To find its frequency, use \( f = \frac{1}{T} \); hence, \( f = \frac{1}{5} = 0.20 \) Hz. Did you know that the period of a pendulum is largely influenced by its length? The longer the pendulum, the slower it swings, leading to a longer period. This principle is why pendulum clocks were so effective – they could be calibrated for precise timekeeping! For those curious about sound waves and musical instruments, the frequency of a sound wave determines its pitch. Higher frequencies correspond to higher notes, like a piccolo, while lower frequencies produce deeper sounds, like a tuba. So every time you strike a note, remember, it's all about those cycles per second!
preguntas relacionadas
