**Problem Statement:**A merry-go-round completes five rotations in five minutes.**Image Description:**The image shows a brightly lit merry-go-round with elaborate decorations and a variety of ride-on animals and vehicles. The surrounding area is fenced, and the scene is lively and colorful, typical of an amusement park setting. **Question:**What is the frequency of motion of the merry-go-round ride in hertz (Hz)?**Answer Box:**______ Hz**Explanation of Concepts:**To find the frequency, you need to know the total number of rotations and how long it takes to complete them. The frequency (f) is calculated as the number of cycles per second, and is measured in hertz (Hz).1. **Total Rotations:** 5 rotations2. **Total Time:** 5 minutes (which is 300 seconds)The formula to calculate frequency is:\[ f = \frac{\text{Number of Rotations}}{\text{Total Time in Seconds}} \]Substituting the given values:\[ f = \frac{5}{300} \]Calculate to find:\[ f = 0.0167 \, \text{Hz} \]Thus, the frequency of the merry-go-round is approximately 0.0167 Hz.

The number of cycles per second is called frequency. The SI unit for frequency is the hertz (Hz).…

Answered: A merry-go-round completes five…

A merry-go-round completes five rotations in five minutes. 10 What is the frequency of motion of the merry-go-round ride in hertz? Hz

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Wave Motion

A wave motion is defined as the propagation of disturbances or transfer of energy and momentum from the state of rest or equilibrium to another point in a medium without any actual transfer of matter between them. In a simple explanation, it is the propagation of energy through a medium that is produced due to the repeated vibrations of the particles. Common things we see day to day like waves on water oscillation of a pendulum or bell, light wave, and all the subatomic particles exhibiting wavelike properties. The propagation of waves depends on the medium and their properties. The wave function is the disturbance that produces waves as a function of time. This disturbance oscillates periodically with a fixed frequency and wavelength. There are linear wave motion and non-linear wave motion based on their propagation, motion, and time period where linear wave motion is like sinusoidal waves and non-linear wave motion like a wave motion that gets interrupted in the middle of their propagation.

Question

**Problem Statement:**

A merry-go-round completes five rotations in five minutes.

**Image Description:**

The image shows a brightly lit merry-go-round with elaborate decorations and a variety of ride-on animals and vehicles. The surrounding area is fenced, and the scene is lively and colorful, typical of an amusement park setting.

**Question:**

What is the frequency of motion of the merry-go-round ride in hertz (Hz)?

**Answer Box:**

______ Hz

**Explanation of Concepts:**

To find the frequency, you need to know the total number of rotations and how long it takes to complete them. The frequency (f) is calculated as the number of cycles per second, and is measured in hertz (Hz).

1. **Total Rotations:** 5 rotations
2. **Total Time:** 5 minutes (which is 300 seconds)

The formula to calculate frequency is:

\[ f = \frac{\text{Number of Rotations}}{\text{Total Time in Seconds}} \]

Substituting the given values:

\[ f = \frac{5}{300} \]

Calculate to find:

\[ f = 0.0167 \, \text{Hz} \]

Thus, the frequency of the merry-go-round is approximately 0.0167 Hz.

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