**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)...

See similar textbooks

Related questions

Q: A fan blade is rotating at 90 Hz when someone switches the fan to the next lowest setting. As a…

A: Give that-Initial frequency, fi= 90 HzInitial angular speed,ωi= 2πfi=2π×90Hz=565.49 rad/secFinal…

Q: A mass weighing 40 points stretches a spring 0.24 foot. The mass is initially released from a point…

A: The general equation for oscillation is given by, d2xdt2+kmx=0 Here k is the spring constant and m…

Q: 5. A 3.8 kg rock is whirled in a vertical circle with a 1.8m string. If the rock completes 18…

Q: A ball of mass m oscillates on a spring with spring constant k = 200 N/m. The ball’s position is x =…

A: According to the rules,we only solve three question in a subpart.So,I will solve the first three…

Q: A sine wave has a frequency of 50 Hz. Its angular frequency is ____________ radian/second.

A: Given that: f=50 Hz To determine: Angular frequency

Q: What is the frequency of the object below? 3 2 1 -1 -2 -3 1s AAA [?] Hz

A: From given diagram , Since , object completes one cycle in (3.5 s - 1.5 s) = 2…

Q: A mass m = 10 kg is attached to a spring and allowed to hang in the Earth's gravitational field. The…

A: Write the expression for the force and substitute the required values to calculate the spring…

Q: Determine A • B. A =i+2j+3k B= 4i+ 5j+6k A. 4 В. 16 С. 32 D. 64

A: Given data: A = i + 2j + 3k B = 4i + 5j + 6k Required: Dot product of vector A and B

Q: A fan blade is rotating at 90 Hz when someone switches the fan to the next lowest setting. As a…

Q: 5p4 a ventilation fan has blades 0.25m long rotating at 25rpm. what is the radial acceleration of a…

Q: What's the tension on the string? Answer in N

A: Given data: The length of the string is: l = 2 m The mass of the string is: m = 12 g =12×10-3 kg…

Q: The graph below is for a newly discovered material. Tetra is 1 THz=10^12 Hz In this material which…

A: Refraction is the bending of light at the surface of separation when light travels from one medium…

Q: 17.1 cm 38 cm Calculate the cyclic frequency of the result- ng motion. The acceleration due to…

A: A spring is a mechanical device that can compress or extend its length when a force is applied on…

Q: A fan blade is rotating at 90 Hz when someone switches the fan to the next lowest setting. As a…

Q: E. If the amplitude of sine wave is doubled, the intensity A. Remains the same. C. Increases by…

A: Requried :: 3. Change in Intensity if the amplitude is made twice.

Q: 12.10. We will learn in Chapter 14 that brightness of light called its intensity I is inversely…

Q: What frequency of sound traveling in air at 34◦ C has a wavelength of 0.55 m? Calculate to one…

A: Given Temperature T=34◦ C Wavelength λ=0.55m

Q: A bath toy is floating stationary in water such that half of the toy is above water and half of the…

Q: 1 What frequency of sound traveling in air at 40◦ C has a wavelength of 0.35 m? Calculate to one…

A: Temperature of the air is T = 40 C Wave length of the sound is 0.35 m

Q: An object attached to one end of a spring makes 20 vibrations in 10 s. What is its frequency? O 2 s…

A: Given data: Number of vibrations = 20 Time (t) = 10 s Required: Frequency (f)

Q: A tube of length 1.2m, closed at one end and open at the other, vibrates in its second mode of…

A: The frequency of second mode of vibration is f =3 v4 L where, v is the speed of sound, L is the…

Q: 3. In the x-y plane the position vector of a particle is given by the equation r = (3cos 4t)i +…

Q: owards a prey. Does the prey move away or to z frequency? What is the speed of the prey rela

Q: For the given figure, Figure 153, solve for C(s)/R(s) and natural frequency. R(s) C(s) 10 s(s+1) 3s…

A: please see the next step for solution

Q: What frequency of sound traveling in air at 37◦ C has a wavelength of 0.43 m?

A: Given: wavelength of sound at 37 ◦C, λ = 0.43 m we know, the speed of sound in air at 37 ◦C, v =…

Q: A bat can detect small objects, such as an insect, whose size is approximately equal to one…

A: As we know that the wavelength is called to be the ratio of the speed of the wave to its frequency.…

Q: frequency

Q: A spring with a spring constant of 0.3 N/cm is attached to a 4.6 kg mass. If you were to pull and…

A: Given: K= spring constant= 0.3 N/g cm = 0.30.01 N/m =30 N/mm= mass of the block= 4.6 Kgspring force…

Q: The position of a SHO as a function of time is given by x=3.8 cos(5πt/4+π/6) where t is in seconds…

Q: You have a wave with a frequency of 777.9 Hz. What is the period of the wave, in seconds? Your…

Q: 1. Sound waves traveling through air have a frequency of 250 hertz. The sound waves are 1.3 m in…

A: #3 Given data: The length of wave is λ=6 cm. The frequency of wave per second is f=4.8 s-1.

Q: You wake up and feel... off. You can't quite put your finger on it, but something feels wrong. You…

A: Time period of a swing pendulum is given as T = 2π Lg Where L is length of pendulum and g is…

Q: If the second harmonic has a frequency of 412 Hz, what is the frequency of the third harmonic? Hz

A: Harmonics are integer multiples of the fundamental frequency. So if fundamental frequency is 50Hz…

Q: A 170 g mass attached to a horizontal spring oscillates at a frequency of 4.60 Hz. At t = 0 s, the…

A: Given:- The mass is m = 170 g The frequency of the spring oscillates f = 4.60 Hz At t = 0 s, the…

Q: A mass m = 9 kg is attached to a spring and allowed to hang in the Earth's gravitational field. The…

A: Given data: A mass is attached to the spring, hang in earths gravitational field Mass (m) = 9 kg…

Q: Q5 What is the period of a 60.-hertz electromagnetic traveling at 3.0 x 10° meters per second? wave

A: Given Speed of wave =v= 3*10⁸ m/s Frequency = 60 Hz Time period =T =????

Q: 4. Application Directions: Solve the following problems 1. A boat is approaching the shore. The…

A: Wave speed=wavelength×frequencyGiven data:wavelength=3 m frequency=2 Hz

Q: A metal rod pivots from one of its ends oscillating at 2.0Hz. A. What is the length of the rod? B.…

A: Given: The frequency of the metal rod is 2 Hz.

Q: What frequency of sound traveling in air at 37◦ C has a wavelength of 0.6 m?

A: Given: Temperature of air (T) = 37 C Wavelength of sound (λ) = 0.6 m.

Q: Water ripples are produced by making a cork oscillate up and down at a frequency of 6Hz. The peaks…

Q: Simple Harmonic Motion and Springs When a 500-g mass is hung at the end of a vertical spring, the…

A: See below

Q: attached to a prong of an electrically driven tuning fork that vibrates at 150 HzHz . The other end…

Q: Determine the tension P in the cable which will give the 100-lb block a steady acceleration of 4.3…

Q: ocean wave has a wavelength of 20.0 m. A wave passes a fixed location every 2.00 s. What is the…

A: Given value--- wavelength =20 m. Time period = 2 sec We have to find--- wave speed?

Q: cos e Mg 4f²L (1.00 kg)(9.80 m/s²) cos 35.0° 4(60.0 Hz) (0.300 m) |1.86 g

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.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Introduction

VIEW

Step 2: Answer

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

B. E. 0.2727 m 0.3140 m 0.3497 m 0.3087 m C. F. 1--1 NUTOJ A 2.9 kg mass is attached to a spring with constant 24_N/m and is moving horizontally on a frictionless surface. If the object has speed 1.4_m/s as it passes through the equilibrium position, then what is the maximum displacement of the object? I 24. A. 0.4867_m D. 0.4348 m B. 0.1773 m E. 0.257_m C. 0.4112_m F. 0.5435 m JABBX Two objects are connected by a light string passing over a light, frictionless pulley. The 5.00-kg object is released from rest at a point 4.00 m above the floor. Find the speed of the 5.00-kg object when it is 1 meter above the floor. 5.00 kg Pigshow.jpeg Pig show.jpeg MacBook Pro
50. How many times a minute does a boat bob up and down on ocean waves that have a wavelength of 40.0 m and a propagation speed of 5.00 m/s?
Which of the following four options is the correct one Which one or more? a. A spectrogram is a graph of frequency against amplitude and time with time on the x-axis, frequency on the y-axis and amplitude indicated by brightness or colour. b. A spectrogram is a graph of amplitude on the y axis against time on the x-axis. c. A spectrogram is a graph of frequency against amplitude and time with time on the x-axis, frequency on the y-axis and amplitude indicated by crosses. d. A spectrogram is a graph of amplitude against frequency and time with frequency on the x-axis, time on the y-axis and amplitude indicated by brightness or colour.
A Yellow light with a wavelength of m travels through quartz glass with a speed of m/s. What is the frequency of the light?
1. The clordinates of a particle's motion are sinusoidal over time. Which of the following best describes the particle's motion? A. Projectile motion B. Uniform circular motion C. Zero acceleration motion D. Constant translational motion 2. A system completes one oscillation in 16 seconds. What is its angular frequency? A.0.063 Hz B. 0.39 rad/s C. 2.5 Hz D. 100 rad/s 3. If spring is stiff, then the value of k is? A. Moderate B. Small C. Large D. Zero 4. How will the period of an oscillating system change if its angular frequency is increased by a factor of four? A. Decrease by factor of 2π/4 B. Increase by a factor of four C. Decrease by 1/4 D. Increase by a factor of 2π/4
A large iron wrecking ball swings from a crane back and forth once every 40.0seconds. What is the frequency?a. 0.025 Hzb. 0.05 Hzc. 0.25 Hzd. 0.40 Hz
Question 8 For research purposes, a sonic buoy is tethered to the ocean floor and emits an infrasonic pulse of sound (speed = 1992 m/s). The period of this sound is 96 millisecond. Determine the wavelength of the sound. No need to include the unit. Write your answer in scientific notation. (1.11e+1) Round your answer to 2 decimal places.
Amplitude Q23.a. Find the values of rise time (tr), peak time(tp), settling time(ts) and maximum value from the following figure. (2 Mark) Step Response 1.8 1.7 1.6 1.5 1.4 1,3 1.2 1.1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 2 3 Time (sec) 13 14 15 16 17 16 19 N0 10 11 12 b. What is the function of bridge circuit? Draw the circuit diagram and equations for balanced condition of Wheatstone bridge. (2 Mark)
A ladder is leaning against a vertical wall, and both ends of the ladder are at the point of slipping. The coefficient of friction between the ladder and the horizontal surface is µj = 0.155 and the coefficient of friction between the ladder and the wall is =0.153. Hz Determine the maximum angle a with the vertical that the ladder can make without falling on the ground. 18.6 Incorrect
An ambulance with its siren on is heading east along a straight highway at 65 mph. A car also moves on the same road. In which case will the driver of the car perceive that the frequency of the siren is lower? Select one: a. The car is moving west at 65 mph and is behind the ambulance. b. The car is moving west at 65 mph and is in front of the ambulance. c. The car is moving east at 65 mph and is in front of the ambulance. d. The car is moving east at 65 mph and is behind the ambulance.
The pendulum on a cuckoo clock is 3.91 cm long. What is its frequency (in Hz)? Hz
Two parakeets sit on a swing with their combined center of mass 15.0 cm below the pivot. At what frequency do they swing? Hz