At what rate will a pendulum clock run on the Moon, where the acceleration due to gravity is 1.63m/s21.63m/s2, if it keeps time accurately on Earth? That is, find the time (in hours) it takes the clock’s hour hand to make one revolution on the Moon.

Q: By what factor has the acceleration changed due to gravity if the length is doubled and the period…

A: We know that time period of a simple pendulum is given as T=2πLg Where, L is the length of the…

Q: At what rate will a pendulum clock run on the Moon, where the acceleration due to gravity is 1.63…

A: The expression for the time period is T=2πlg Here, T is the time period, l is the length of the…

Q: A geologist uses a simple pendulum that has a length of 29 cm and a frequency of 0.841 Hz at a…

A: The time period is given as T = 1/f T = 1/0.841 T = 1.189 s

Q: A clock is constructed so that it keeps perfect time when its simple pendulum has a period of…

A: When the time period of a simple pendulum increases then the clock starts running slow. The loss of…

Q: A pendulum clock that works perfectly on Earth is taken to the moon, where g = 1.63m/s2.  If the…

A: Calculate the ratio of periods of the pendulum on the moon and earth. TMoonTearth=gearthgmoon…

Q: When a pendulum with a period of 2.00000 s in one location (g = 9.80 m/s4) is moved to a new…

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Q: The expression x = 9.40 cos(2.25?t + ?/2) describes the position of an object as a function of time,…

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Q: A 0.75 kg mass oscillates according to the equation x(t)=Acos(ωt). Here, A=0.67 m and ω=6.5 rad/s.…

A: Mass= m = 0.75 kg Angular frequency=ω = 6.5 rad/s Amplitude= A= 0.67m Equation of the oscillator:-…

Q: It is said that Galileo discovered a basic principle of the pendulum - that the period is…

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Q: The motion of a particle is given by x(t) = (24cm)cos(10t) where t is in s. what is the first time…

A: Givenx(t)=(24 cm)cos(10 t)velocity, v(t)=dxdt                    =-(240 cm)sin(10 t)maximum…

Q: 12-77. The car travels from A to B, and then from B to C, as shown in the figure. Determine the…

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Q: Your favorite clock pendulum is 1.0m long and has a

A: on earth  T = 2*π * L/g T = 2*3.14* 1/9.81 T = 2.00 seconds    on mars to show complete time  2 =…

Q: An astronaut sets up a pendulum on the Moon, where the acceleration due to gravity is 1/6 that of…

A: Calculate the acceleration due to gravity on the Moon. g'=16g=16×9.81 m/s2=1.635 m/s2 Here, g' and g…

Q: The period of a simple pendulum of lengtg 1 meter, on another planet is 1.66 seconds. what is the…

A: Length of the pendulum is L = 1 m Time period of the pendulum is T = 1.66 s

Q: A simple pendulum is 1.15 meters long and has a period of 6.29 seconds. The pendulum is on an…

A: Let L is the length of the pendulum and g is the gravitational acceleration. The expression for the…

Q: It takes 356.25 days for the earth to complete one revolution around the sun.Calculate (a) period,…

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Q: The motion of a cart attached to a horizontal spring is described as x= (0.17 m)sin[(pi* s-1 )t].…

A: The objective of the question is to find the velocity of the cart as a function of time. The…

Q: A 7 kg mass attached to a horizontal spring oscillates at a frequency of 7 Hz. At t =0 s, the mass…

A: Period = 1/frequency

Q: The motion of a particle is given by x(t) = (25cm)cos(10t) where t is in s. what is the first time…

A: Given, The motion of the particle is given by, x(t) = 25 cm cos10 t   -----(1)  we have to evaluate…

Q: moon, where g = 1.63m/s². If the clock starts at 10:07PM, what %3! will it read after 36 hours?

A: The time period of a pendulum is determined by the equation                     T=2πLg for the same…

Q: Consider a 2.2 kg mass attached to a spring that glides back and forward on a smooth, frictionless,…

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Q: n=4→n=3n=4→n=3 Express the frequency in inverse seconds.

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Q: pendulum is placed on a distant planet. The length is one meter, and the measured period is 1.4…

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Q: The spaceship Intergalactica lands on the surface of the uninhabited Pink Planet, which orbits a…

A: The period of simple pendulum is found as, T=Time takenNumber of oscillations=218 s109=2 s The…

Q: At what rate will a pendulum clock run on Venus, where the acceleration due to gravity is 8.87 m/s²,…

A: Given data The acceleration due to gravity on the venus is, gv=8.87 m/s2 The time period on the…

Q: A pendulum is used as a clock on Earth. It takes one hour for the hand to move from 1 o'clock to 2…

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Q: We measure the period of oscillation of a simple pendulum. In successive measurements, the readings…

A: Given We measure the period of oscillation of a simple pendulum. In successive measurements, the…

Q: A mass hanging on a spring with spring constant 15 N/m has a period of 4 π s. (Note that π =…

A: Spring constant (k)=15 N/m Time period (T)=4π s

Q: A 1.8 kg mass attached to a horizontal spring  oscillates at a frequency of 2.1 Hz. At t =0 s, the…

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Q: While waiting for your plane to take off, you suspend your keys from a thread and set the resulting…

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Q: Question 24 25

A: Given,

Q: What positive value of x/A gives v= 0.56 v_max, where A is the amplitude of the motion?

A: we have v=ωA2-x2vmax=Aω⇒v=vmaxAA2-x2=vmax1-x2A2

Q: The free-fall acceleration on the Moon's surface is g = 1.63 m/s². How long must a pendulum be to…

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Q: A clock is constructed so that it keeps perfect time when its simple pendulum has a period of…

A: Given data: Length of the pendulum is, L = 0.2483 m Clock runs slow by, t =1.506 minutes per day…

Q: The spaceship Intergalactica lands on the surface of the uninhabited Pink Planet, which orbits a…

A: The objective of the question is to calculate the acceleration due to gravity (gpp) on the Pink…

Q: A 2 kg mass attached to a horizontal spring oscillates at a frequency of 5 Hz.  At t =0 s, the mass…

A: Given: The mass of the block is 2 kg. The frequency of the oscillation is 5 Hz. The velocity of the…

Q: A ballerina prepares to entera spin.She swings her extended arms and one extended leg around, jumps…

A: Given information: The speed of rotation when the ballerina's arms and legs are extended is 1 sec;…

Q: A 52.6 cm-long pendulum takes 2.50 minutes to undergo 104.1 complete oscillation cycles. (a) Compute…

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Q: A simple pendulum has a length of 1.3 meters. What is its period of oscillation? Use g = 9.8 m/s/s…

A: Given Data Length of the pendulum is given as l=1.3 m   We have to find the period of oscillation of…

Q: A free-fall spark track experiment determines the acceleration due to gravity to be g1 = (9.76…

A: Solution: Let us calculate the percentage error of the measurement observed by two observers.  1.…

Q: A new dwarf planet was observed recently in the asteroid belt between Mars and Jupiter. It has an…

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Q: At what rate will a pendulum clock run on the Moon, where the acceleration due to gravity is 1.63…

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Q: The distance of a swinging pendulum from its resting position is given by the function det) =…

A: When a particle performs simple harmonic motion its speed is zero at extreme positions and maximum…

Q: How do you determine the gravitational acceleration on a planet where the period of a 1.90 m long…

A: Given,

Q: 3 1 1 2 3 4 5 6. t (s) What is the particle's acceleration at t = 4.5 s? 1 m/s^2 -1 m/s^2 -2 m/s^2 3…

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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.