A hypnotist's watch hanging from a chain swings back and forth every 0.84 s. What is the frequency (in Hz) of its oscillation? Hz

Q: What is the period, in seconds, that corresponds to each of the following frequencies: (a) 10 Hz,…

A: a) The expression for the time period in terms of frequency is,

Q: Q1: B/ Frieda the fly flaps its wings back and forth 121 times each second. The period of the wing…

A: The time taken to complete one cycle is called time period. In this case time taken for one back and…

Q: An oscillator has an equation x(t) = (0.45 m) cos ( 477 t) Assuming w is in Sl units, calculate the…

A: Given value--- oscillation equation-             X(t) = (0.45m) cos (477t) . We have to find---…

Q: A mass m at the end of a spring vibrates with a frequency of 0.70 Hz . When an additional 660 g mass…

A: Consider the spring-mass system(spring constant k), the frequency of the system is f1 with mass m1…

Q: We can model the motion of a dragonfly's wing as simple harmonic motion. The total distance between…

A: Step 1It is given that distance between the upper and lower limits of motion of the wing tip can be…

Q: The following figure will be the same for the next few questions. It shows a graph of displacement…

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Q: The frequency of vibration of a lithotriptor, an ultrasound generator used to destroy kidney stones,…

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Q: A hypnotist's watch hanging from a chain swings back and forth every 0.38 s. What is the frequency…

A: Given data: Time period (T) = 0.38 s Need to determine the frequency of the chai swings.

Q: A person's heartbeat is measured to be 65 beats per minute.What is the period between heartbeats in…

A: Frequency = 65 beats per minute We need to find time period in seconds.

Q: In Problem,the distance d (in feet) that an object travels in time t (in seconds) is given. (a)…

A: The given equation, d=6 sin2t   The given equation is in the form, d=a sinωt

Q: How long must a simple pendulum be if it is to make exactly one swing per five seconds? (That is,…

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Q: Which one of the following is the standard unit for period (T)? a. m/s? O b. m/s С. sec d. N е. Hz

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Q: A sewing machine needle moves with a frequency of 2.5 Hz. Approximately how long does it take it to…

A: GivenFrequency f = 2.5 Hz

Q: Q2: Find the force needed to return a ball of a pendulum with a mass of (30 g) after its…

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Q: 3. BIO In taking your pulse, you count 75 heartbeats in 1 min. What are the period (in s) and…

A: Part (1):Given: The number of heartbeats is 75. The time taken is 1 min.

Q: A hypnotist's watch hanging from a chain swings back and forth every 0.71 s. What is the frequency…

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Q: A quartz crystal vibrates with a frequency of 33,621 Hz. What is the period of the crystals motion?

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Q: At an amusement park, What is the period? the pirate ship swings back and forth every 20 What is the…

A: GivenAt an amusement park, the pirate ship swings back and forth every 20 secondsA smoke alarm…

Q: Q1. What is the length of a pendulum that has a period of 0.500 s?

A: Given data:  Period of pendulum (T) = 0.500 s Required: The length of the pendulum (L)

Q: The position of a mass oscillating on a spring is given by (6.6cm) cos [2nt/ (0.79s)]. You may want…

A: Given data: Position of mass oscillating on spring as function of time x = (6.6 cm)cos[2πt/(0.79s)]…

Q: A spinning top completes 18 revolutions every 4.0 s The frequency of its motion would be Hz.

A: Given Number of revolution is given as N=18 Time taken to complete the revolution is t=4.0 s   We…

Q: You have a summer job working for a basketball camp. The child who wins the dribbling competition…

A: Given: The frequency of dribble = 1.85 Hz Required : In how much time one completes 10 dribbles.

Q: The scale of a spring balance that reads from 0 to 19.5 kg is 18.6 cm long. A package suspended from…

A: Given that:For, mass of hanging weight,  mo=19.5 kgExtension of spring, xo=18.6 cm=0.186 m

Q: In the figure, two identical springs of spring constant 260 N/m are attached to a block of mass 24…

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Q: quartz crystal vibrates with a frequency of 26,621 Hz. What is the period of the crystal's motion?…

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Q: 39. A Bobbing Cork A cork floating in a lake is bobbing in sim- ple harmonic motion. Its…

A: a) We have given y=0.2 cos20πt+8, the frequency f is modeled by the formula f=k/2π , from the…

Q: A pendulum makes 23 oscillations in exactly 50 s. Part A What is its period? Express your answer to…

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Q: Some passengers on an ocean cruise may suffer from motion sickness as the ship rocks back and forth…

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Q: 31) The equations below describe the motion of a particle. If x is the displacement of the particle…

A: Given, Concept: As simple harmonic oscillator, The equation of motion of simple harmonic oscillator…

Q: The graph shows displacement vs. time for an object that experienced SHM. What is the amplitude of…

A: The maximum displacement of a wave is said to be the amplitude. Hence, from the given graph, it can…

Q: The spring constant of a coiled spring is 50 N/cm. Its value in SI system is a. 0.5 b. 500 С. 5000…

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Q: What is the frequency in hertz , that corresponds to each of the following period (a) 0.10s (b) 5s…

A: Write the relation between frequency and time period

Q: A mass attached to a spring oscillates and completes 50 full cycles in 30 s. What is the time period…

A: The time period of the oscillation be the ratio of the total time to the number of oscillations.…

Q: Q1. What is the period of 60 Hz of electrical power?

A: Given data The frequency of the electrical power is given as f = 60 Hz.   The mathematical…

Q: You have a summer job working for a basketball camp. The child who wins the dribbling competition…

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Q: A speaker vibrates at a frequency of 0.02kHz. What is its period

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Q: The scale of a spring balance that reads from 0 to 15.0 kg is 12.0 cm long. A package suspended from…

A: Here given,  Extension(x) = 12cm= 0.12m Frequency= 2 hz  A.  According to Hooke’s law, the magnitude…

Q: I need help on this problem.

A: Given Natural Frequency fn = 500 Hz Driving Frequency fd = 770 Hz

Q: What is the relationship between the period and frequency for periodic motions? A They are…

A: Given data:  The object is in periodic motion  Required:  The relationship between period and…

Q: Case 2: Next, consider the case of a student wishing to determine the spring constant for a spring…

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Q: The scale of a spring balance that reads from 0 to 36.1 kg is 24.1 cm long. A package suspended from…

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Q: An FM radio station broadcasts at a frequency f = 107.5 MHz. This means that the radio signal…

A: The relation between the time period and frequency of a wave is given by T=1f From the question we…

Q: A sewing machine needle moves with a frequency of 2.5 Hz. Approximately how long does it take it to…

A: The frequency (f) of the needle of the sewing machine is given. Calculate the time period (T) of its…

Q: Two oscillating systems have periods T1 and T2 , with T1 < T2. How are the frequencies of the two…

A: The frequency is the reciprocal of the time period.

Simple harmonic motion

Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.

Simple Pendulum

A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.

Oscillation

In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.