A suction-cup-tipped arrow is secured vertically to the outer edge of a turntable designed for playing...

 

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A suction-cup-tipped arrow is secured vertically to the outer edge of a turntable designed for playing LP phonograph records (ask your parents). A motion detector is situated 60 cm away. The turntable is switched on and a mo- tion detector measures the distance to the arrow as it revolves around the turntable. The table below shows the distance d as a function of time during the first 4 seconds. t 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 d 63.5 71.6 79.8 84.7 84.7 79.8 71.6 63.5 60.0 63.5 t 2.2 2.4 2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0 d 71.6 79.8 84.7 84.7 79.8 71.6 63.5 60.0 63.5 71.6 (a) If the turntable is 25.4 cm in diameter, find the amplitud of the arrow's motion. (b) Find the period of the arrow's motion by analyzing the data. (e) Model the motion of the arrow as a sinusoidal function d(t). A suction-cup-tipped arrow is secured vertically to the outer edge of a turntable designed for playing LP phonograph records (ask your parents). A motion detector is situated 60 cm away. The turntable is switched on and a mo- tion detector measures the distance to the arrow as it revolves around the turntable. The table below shows the distance d as a function of time during the first 4 seconds. t 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 d 63.5 71.6 79.8 84.7 84.7 79.8 71.6 63.5 60.0 63.5 t 2.2 2.4 2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0 d 71.6 79.8 84.7 84.7 79.8 71.6 63.5 60.0 63.5 71.6 (a) If the turntable is 25.4 cm in diameter, find the amplitud of the arrow's motion. (b) Find the period of the arrow's motion by analyzing the data. (e) Model the motion of the arrow as a sinusoidal function d(t).

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This problem is about the motion of an arrow secured to a turntable which exhibits simple harmonic motion as it rotates Lets solve each part of the question a Amplitude of the Arrows Motion The amplit... View the full answer