What is the period of 60.0 Hz electrical power?

Q: An oscillating body takes 0.8s to complete four cycles. What is the (a.) period, and (b) frequency?

A: Given : Cycles = 4 Time = 0.8 seconds Time period is the time required to complete one cycle : T =…

Q: (Solve the question as a homework which means please give details and explanation of each step) A…

A: Given : m= 1.4kg A= 12cm = 0.12 m T= 1/2.2 = 0.4545 sec T= 1f=2πω ω= 2πT = 13.82 sec-1 ω=km k= ω2 m…

Q: A pendulum moves 15 complete cycles in 30 seconds. What is its time period? Select one: a. 2.0 s b.…

A: The pendulum’s time period is defined as the time taken by the pendulum to one complete cycle. Now,…

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

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Q: The pendulum in a grandfather clock is made of brass and keeps perfect time at 15 °C.

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Q: A clock has a pendulum that performs one full swing every 1.25 s (back and forth). The object at the…

A: Period: The time taken to complete one full swing (back and forth) or cycle is known as period of…

Q: After closing a deal with a client, Kent leans back in his swivel chair and spins around with a…

A: Given: After closing the deal Kent leans back in his swirl chair and spin with the frequency of 69…

Q: After landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 48.0…

A: Calculating the time period from given data. T=(total time taken)/(number of cycles).  = 142/93…

Q: A pendulum of length 15.3 cm swings back and forth at a location on earth where g = 9.98 m/s?. The…

A: Given data:  A simple pendulum  Length (L) = 15.3 cm = 0.153 m Acceleration due to gravity (g) =…

Q: Find the equation for the acceleration of the SHM using differentiation.

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Q: Find the mechanical energy of a block-spring system having a spring constant of 2.3 N/cm and an…

A: We have a block spring system having spring constant k=2.3 N/cm=230 N/m and an oscillation amplitude…

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: a spring stretches 0.170 meters when 38 newtons of force are applied. what would be the period of…

A: Find the spring constant of the stretched spring. F=kxk=Fx=38 N0.170 m=223.5 N/m

Q: A robotic explorer on Mars deploys a simple pendulum that is one meter long. The explorer determines…

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Q: What is the maximum displacement of the oscillator from the equilibrium position?

A: Explanation To find the maximum displacement of the oscillator from the equilibrium we have to find…

Q: An oscillating block-spring system has a mechanical energy of 2.00 J, an amplitude of 10.0 cm, and a…

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Q: An experimental sewing machine is powered by a mass-spring system. This sewing machine is capable of…

A: a. the frequency of machine is f=1500 stiches/min=1500 stichesmin×60 s1 min=25 Hz

Q: A spring is attached to the ceiling and pulled 18 cm down from equilibrium and released. The…

A: Given: Spring stretched by (x) = 18 cm. Amplitude decreases by 10% in each second.

Q: A quartz crystal vibrates with a frequency of 48,621 Hz. What is the period of the crystal's motion?

A: Given that: Frequency of quartz crystal = 48621 Hz

Q: The pendulum on an old mechanical, weight-driven clock has a period of 3.0 s. What is the length of…

A: Time period of a simple pendulum is  T= 2 π lg l =length of the pendulum g= gravitational…

Q: It is the number of radians of the oscillation that are completed each second. A. period B.…

A: We know, The number of oscillations per unit time is known as frequency.

Q: A spring with an 8.3-kg mass is pulled back 0.31 m. If its frequency is 4.2 Hz, then find the…

A: The mass of the spring is m = 8.3 kg. The frequency is f = 4.2 Hz. The time t = 0.55 s. The…

Q: The string of a cello playing the note C oscillates at 264 Hz. What is the period of the string’s…

A: Given:  frequency, f = 264 Hz

Q: The Eiffel Tower in Paris, France is 725-m high. On a windy day, the tower sways with a frequency of…

A: f = 0.010 cycles/sec. T = ?

Q: A simple pendulum oscillates with frequency f. What is its frequency if the entire pendulum…

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Q: A pendulum swings to a maximum height of 12 cm, what is the maximum speed of the pendulum?

A: We will use law of conservation of energy

Q: A Colpitts oscillator has values of C1 = 0.9 μF, C2 = 30 μF, and L = 104 μH. What is the frequency…

A: In the Colpitts oscillator, the capacitors are in series. So, the equivalent capacitance will be:

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: A pendulum swings back and forth 6 times in 10.86 seconds a.what is the frequency of oscillation?

A: Given: time taken by the pendulum, t = 10.86 sec number of times the pendulum oscillate, n = 6

Q: An object is attached at the end of a spring. The amplitude of its motion is 0.3m, the period 10sec.…

A: Answer: Given, Object is attached at the end of a spring The amplitude of its motion (A)= 0.3 m Time…

Q: A child on a swing set swings back and forth with a period of 3.3 s and an amplitude of 25°. What is…

A: Given Data: The time period of oscillation is, T=3.3 s The maximum angle of the swing is, θmax=25°…

Q: The quartz crystal used in an electric watch vibrates with a frequency of 32.768 Hz. What is the…

A: frequency (f)= 32.768 Hz To find Period of the crystal's motion

Q: what is the relationship between frequency and tension? (direct, inverse, or none)

A: Introduction: The frequency of the wave is defined as the total number of the cycles in ones cyle,…

Q: The period of a simple pendulum is 3.8 s. The length of the pendulum is doubled. What is the period…

A: The time period of the simple pendulum is given by the equation                                   T…

Q: A mass on a spring undergoes SHM. It goes through 10 complete oscillations in 5.0 s. What is the…

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Q: An undamped 1.57 kg horizontal spring oscillator has a spring constant of 35.9 N/m. While…

A: Given- Mass of spring (m) = 1.57 Kg Spring constant (k) =  35.9 N/m Velocity (v) = 2.23 m/s

Q: A pendulum makes 3 swings in 11.6 seconds. What is the period of oscillation?

A: Time period is,

Q: The frequency = Sine Wave 15 0.075 sec time 4 m amplitude

A: Given Wave length = 4m = 4 x 109

Q: A 7.5 kg hanging from a spring vibrates with a period of 1.5s. Calculate the spring constant. mass

A: Given data:  Mass (m) = 7.5 kg Period (T) = 1.5 s Required: The spring constant (k)

Q: What is the frequency of the hand on a clock that measures the seconds?

A: Frequency can be calculated as the inverse of the time period taken by the second hand to complete…

Q: An object is attached at the end of a spring. The amplitude of its motion is 0.3m, the period 10sec.…

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Q: a 5kg mass is hung from a spring that has a period of 2 seconds. what is the sppring constant of the…

A: Given data: Mass, m = 5 kg Time period, T = 2 seconds.   To determine:    The spring constant of the…

Q: A pendulum oscillates with a frequency of 0.449 cycles per second (0.449 Hertz). What is the length…

A: The expression for the frequency of a simple pendulum is The expression for the frequency of a…

Q: Find the frequency of a tuning fork that takes 2.50×10−3 s to complete one oscillation.

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Q: A pendulum makes 35 oscillations in exactly 70 s . What is its period? What is its frequency?

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Q: In the figure, two identical springs of spring constant 180 N/m are attached to a block of mass 17…

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Q: An object is attached at the end of a spring. The amplitude of its motion is 0.3m, the period 10sec.…

A: Given, Amplitude=0.3m Time period=10sec

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.