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Chapter 5: Problem 4

If a body vibrates 50 times in a second, then its frequency is

Short Answer

Expert verified
Answer: The frequency of the body is 50 Hz.

Step by step solution

01

Write down the given information

The body vibrates 50 times in a second.
02

Recall the definition of frequency

Frequency is the number of cycles per second, and it is measured in Hertz (Hz).
03

Convert the number of vibrations to frequency

Since the body vibrates 50 times in a second, its frequency is 50 cycles per second, or 50 Hz.
04

Write down the final answer

The frequency of the body is 50 Hz.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Vibrations
Vibrations often refer to the rapid oscillating movements that a body or object undergoes. When we talk about vibrations in physics, it relates to how many complete movements or oscillations an object makes back and forth in its position.
A classic example is a pendulum or a guitar string that vibrates once it is plucked.
When a body vibrates, it can set the air around it into motion, forming waves. These waves can be sound or even ripples if we look at water vibrations.
  • The more frequent the vibrations, the higher the frequency.
  • Vibrations are measured in terms of the cycles they complete in a set time.
Understanding vibrations is fundamental in fields like acoustics, where they relate to how different sounds are produced and perceived.
Hertz
The term "Hertz," abbreviated as Hz, is a unit of frequency in the International System of Units.
Named after the physicist Heinrich Hertz, it represents one cycle per second.
So, when you say something vibrates at 50 Hz, it means it completes 50 full cycles in one second.
  • Hertz is a universally accepted unit when dealing with any type of wave frequency, such as sound, electromagnetic, and more.
  • We use Hertz to specify the frequency of something because it's a straightforward and standardized measure.
Whether measuring the pitch of a sound, the frequency of a radio wave, or even the flicker of a light, Hertz provides a clear indication of the cycles per second happening in the phenomena.
Cycles per Second
"Cycles per second" is a straightforward way to understand the concept of frequency without delving into complex terminology.
Every complete back and forth motion counted as one cycle.
So, when an object vibrates 50 times in one second, it means it completes 50 such cycles within that duration.
  • This term is essentially a precursor to Hertz, back when the unit was commonly referred to by its descriptive name 'cycles per second' before being officially renamed Hertz.
  • The term helps imagine the recurring motion or patterns when thinking about waves or vibrations.
In practical terms, understanding cycles per second can help you grasp how quickly something moves or changes over time, such as the rate at which a car engine vibrates while running, or how your computer monitor refreshes images on the screen. By thinking about cycles per second, you can visualize and better understand the speed of change in repetitive motions.

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