why amplitude is equal to (ymax - y min)/2
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Q: pendulum has a period of 47.9 s. If you were to transfer this pendulum to the surface of Mars…
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Q: Suppose the oscillatory motion of an object can be modeled using the equation s(t) = 7.8sin(3.8t)…
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A: Given Equation: x= (0.45 m) cos(5.6t) Since The Wave Equation is x=Acosωt Formula For Frequency (f)…
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why amplitude is equal to (ymax - y min)/2
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- The period p of a pendulum, or the time it takes for the pendulum to make one complete swing, varies directly as the square root of the length L of the pendulum. If the period of a pendulum is 1.1 s when the length is 2 ft, find the period when the length is 3 ft. Round to the nearest hundredth.An ultrasonic transducer used for medical diagnosis oscillates at 6.7 MHz = 6.7 * 10^6 Hz. How long does each oscillation take, and what is the angular frequency?Calculate the period of oscillation of a pendulum on a planet of density pp = 10³ kg m-³ with radius Rp = 3.9 x 10³ km, while period of the same pendulum on Earth is TE= 1.3 s. Assume the Earth to be a sphere of radius RE = 6.4 x 10³ km and density of pe = 5.5 x 10³ kg m-³. Give your answer in Sl units. Answer: S ◆
- You measure the oscillation period of a flexible rod to be T= 9.20 ± 0.5 ms. The so-called angular frequency ω is obtained from T by the formula: ω=2pi/T Naturally, your calculator gives you the value ω=683.0 s-1. What is the uncertainty on ω s-1? Include two significant figures.The position of x of an oscillating particle as a function of time t is given by x= A cos (Bt) where A and B are constants. What are the physical dimension of those constants?The displacement of an object is described by this equation, where x is in meters and t is in seconds: x= (0.44 m) cos(5.6t) What is the frequency (Hz) of the oscillating object? Round your answer to 2 decimal places.
- A Ferris wheel has a radius of 25 m and its centre is 27 m above the ground. It rotates once every 40 seconds. Sandy gets on the Ferris wheel at its lowest point and then the wheel starts to rotate. a) Determine a sinusoidal equation that gives Sandy's height, h, above the ground as a function of the elapsed time, t, where h is in metres and t is in seconds. b) Determinc the first time, t (in scconds), when Sandy will be 35 m abovc the ground.SA-1 The small angle approximation says that if 0 << 1 rad, then sin(0) ≈ 0, where is in radians. Recall that the % error in using this approximation is given by: % error approximate - exact exact x 100 (a) What is the % error in using the small angle approximation for the sine function, for an angle of 1 degree? (b) What is the % error in using the small angle approximation for the sine function, for an angle of 30 degrees? (c) What is the % error in using the small angle approximation for the sine function, for an angle of 80 degrees?A pendulum has a period of 5.8 s. If you were to transfer this pendulum to the surface of Mars (where g is 3.71 meters per second squared), what would the period (in seconds) be?
- A conical pendulum has length / and the angle made by the string with vertical is 0 = 38° . The mass of the object is m=140 g. If the period of the circula motion of the object is T=1.74s find the length of the string. Take g=10m/s. Round your answer to two decimal places. mA free-fall spark track experiment determines the acceleration due to gravity to be g1 = (9.76 0.04±) m/s2 . A pendulum experiment determines the acceleration due to gravity to be g2 = (9.83 0.09±) m/s2 . The accepted value for the acceleration due to gravity is g = (9.81 0.01±) m/s2 . Are the two experimental results consistent with the accepted value? Which of the two experimental results is more accurate? Which is more precise?Suppose a teacher is riding a Ferris wheel. The maximum height they attain is 30 m and theminimum height is 6 m. The time it takes to make one full rotation is about 5 minutes. Determine:a/ The periodb/ The amplitudec/ A possible equation that models this situation, if the time starts at the minimum height.