Category: General Physics
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What is the Period and Frequency?
In taking your pulse, you count 71 heartbeats in 1 min. What is the period of your heart’s oscillations? Time taken for 71 heart beats = 1 min = 1* 60 seconds =60 s The time taken for 1 heart beat = 60 / 71 Time Period =.85 seconds What is their frequency? frequency f = 1…
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Period, Frequency, Amplitude, and Maximum Speed
1/freqAn air-track glider attached to a spring oscillates between the 15.0 mark and the 55.0 cm mark on the track. The glider completes 15.0 oscillations in 37.0 . What are the (a) period = 1/frequency = 1/.405 = 2.5 seconds (b) frequency = oscillations / time = 15/37= .41 Hz (c) amplitude amplitude = 1/2 of the difference of oscillation marks = 1/2(55-15) = 20cm (d)…
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What is the Spring Constant?
A spring has an unstretched length of 13 cm. When an77 g ball is hung from it, the length increases by 7.0 cm. Then the ball is pulled down another 7.0 cm and released. What is the spring constant of the spring? The force of gravity on the ball = the force on the spring Known Variable: M(mass): 77 g…
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What is the Maximum Acceleration?
Some passengers on an ocean cruise may suffer from motion sickness as the ship rocks back and forth on the waves. At one position on the ship, passengers experience a vertical motion of amplitude 1.4 m with a period of 17 s. What is the maximum acceleration of the passengers during this motion? = (2p / T )2…
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What is the Spring Constant?
A 237 g air-track glider is attached to a spring. The glider is pushed in 8.64 cm against the spring, then released. A student with a stopwatch finds that 14 oscillations take 13.94 s. What is the spring constant? Known variables: mass m = 237 g = 0.237 kg time taken for 14 oscillations…
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Period and Amplitude
A 175 g mass attached to a horizontal spring oscillates at a frequency of 2.0 Hz. At one instant, the mass is at x = 5.0 cm and has vx = -32 cm/s Determine the period. P = 1 / f = 1 / 2.0 T= 0.5 sec. Determine the amplitude. w = 2pi *…
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How Long is the String?
A 106 g ball is tied to a string. It is pulled to an angle of 7.80 degrees and released to swing as a pendulum. A student with a stopwatch finds that 17 oscillations take 13.0s. How long is the string? time period T = 2π √(L/g) 17 oscillations = 13 sec 1 oscillation (T) =…
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Free-fall Acceleration
Astronauts on the first trip to Mars take along a pendulum that has a period on earth of 1.50 s. The period on Mars turns out to be 2.45 s. What is the Martian free-fall acceleration? Earth = 1.5 s Mars= 2.45 s T= 2π√L/g 1.5 s2 = (2π√L/9.8)2 1.5 s2 = 21.5 s2 = x L/9.81 1.5…
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Frequency of Oscillation
In the aftermath of an intense earthquake, the earth as a whole “rings” with a period of 54 minutes. What is the frequency of this oscillation? T = 54 min / 1 x 60 s / m = 3.1 x 10-4
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Degrees, Radians, and Sine Table
Compete the following table. 0 2 4 6 8 10 12 Complite second column. θ(rad) =0,3.490×10−2,6.980×10−2,0.1047,0.1396,0.1745,0.2094 sin(θ) =0,3.490×10−2,6.980×10−2,0.1045,0.1392,0.1736,0.2079